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SP 8 (1970) : ISI Handbook of Mathematical, Physical, 
Chemical and Engineering Tables [PGD 1: Basic Standards] 



Satyanarayan Gangaram Pitroda 
Invent a New India Using Knowledge 




Bhartrhari — Nitisatakam 
"Knowledge is such a treasure which cannot be stolen" 





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PROTECTED BY COPYRIGHT 



SP ;a- J970 

ISI HANDBOOK "— °" 

OF 

MATHEMATJCAL PHYSICAL, 
CHEMICAL AND ENGINEERING 

TABLES 




INDIAN STANDARDS INSTITUTION 



ISl HANDBOOK 

OF 

MATHEMATICAL, PHYSICAL, 

CHEMICAL AND ENGINEERING 

TABLES 



HI 



INDIAN STANDARDS INSTITUTION 

MANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG 
NEW DELHI 2 

Price JJ/^^mMW- February 197 I 



© 1971 INDIAN STANDARDS INSTITUTION 



Edition 11970 

( Second Reprint MAY 1983 ) 



UDC5ni62/l68(021) 



SP:8-1970 



Today & Tomorrow's Printers tr Pubiisliers New Deilii (Indie) 



SP : 8 - 1970 

CONTENTS 

PAGE 

FOREWORD 5 
SECTION 1 MATHEMATICAL TABLES 

1 Logarithms of Numbers ,,, ,,, ... ... ... ... 9 

2 Anti-logarithms ... ,,, ... ... ... ... 27 

3A Common Logarithms'" ... ,,, ... ... ... ... 29 

3B Natural Logarithms ,,, ,,, ... ... ... ... 30 

4 Exponential AND Hyperbolic Functions ... ... ... ,,, 32 

5A EXPONENTIAL Functions (e-»). . . ,,, ... ... ... ... 41 

SB Exponential Functions («*) ... ,,, ... ... ... ... 42 

6 Logarithms of Trigonometric Functions ... ... ... ... 46 

7A Natural Functions... ,,, ,,, ... ... ... ... 91 

73 Natural Functions —SECANTS AND COSECANTS ... ... ... ... 114 

8 Lengths OF Circular Arcs ... ,,, ... ... ... ... 129 

9 Radians to Circular Functions ,,, ... ... ... ... 130 

10 Powers and Square Roots ... ,,, ... ... .,. ... 131 

11 Reciprocals, Roots, Factorials and Factors ... ... ... ,,, 133 

12 MATHEMATICAL Constants ,,, ,,, ... ... ... ... 135 

SECTION 2 PHYSICAL AND CHEMICAL TABLES 

13 Earth, Sun and Moon ... ... ... ... ... ... 139 

14 Gravitation ,,, ... ... ... ... ... ... 135 

15 Properties of Elements ... ... ... ... ... ,,, 140 

16 Properties of Solids ... ... ... ... ,,, ,,. 142 

17 Properties of Liquids ... ... ... ,,, ,., ,,. 143 

18 Properties of Gases and Vapours ,,, ,,, ... ... ,,. 144 

19 Conversion of Gaseous Volumes to NTP ... ... ,,, ,,, 145 

20 Elastic Constants ... ,,, ,,, ... ... ... ... 145 

21A Percentage Humidities with VJet and Dry Bulb Hygrometer ... ... 145 

21B Pressure of Saturated Water Vapour ... ,,, ... ... ,,, 145 

22 Atmosphere ,,, ,,, ... ... ... ... ... 146 

23 LighT — Standards for Measurement ... ... ... ... ... 147 

24 Refractive Indices { Against Air ) for Mean T> Lines ... ... ... 147 

25 Wavelengths of Important Spectral Lines ,,, ... .,, ... 147 

26 Magnetic Elements ... ... ,., ... ,,, ]^43 

27 Insulators and Dielectrics ... ... ... ... ... ... 143 

28 Electromotive Force of Cells ,,, ... ... ... ... I4g 

29 Standard Diameters and Resistances of Wire ... ... ... ... 1^2 

30 Velocity of Sound ... ... ... ... ... ... ,,. 149 

31 Scale of M Ineral Hardness ... ... ... ... ... ... 149 

SECTION 3 ENGINEERING TABLES 

32 Rolled Steel Beams ,,, ... ..I ... ... .., I53 

33 Rolled Steel Channels ,,, ... ... ... ,,. ... ]^54 

34 Steel Equal Angles ... ... ... ... ... ... i^^ 

35 Steel Tee Bars ... ... ... ... ... ,,, ... ]^57 

36 Steel Flats ,,, ,,, ... ... ... ... ... i^'j 

37 Round and Square Steel Bars ... ,,, ... ,,, ... 153 

38 Steel Rail Sections ... ... ... 153 

39 S TEEL Chequered Plates ... ..^ ... i^^ 

40 Mild"^ Steel Sheets ,,, ,,, ... ... ,., ... i^^ 

41 Nominal Weights of GalvaniZEd Plain Sheets ... ... ... ... 159 

42 Nominal Weights of Galvanized Corrugated Sheets ... .,, ... 150 

43 Bare Copper Conductors ,,, ,,, ,,, ,.. ... ... \^i 

44 Comparison Table for Wires and Cables ,,, ... ... ... ]^5]^ 

45 Unequal Angles ... ,,, .,, ,.. ... ... ... iq2 

46 Bulb Angles .,, ,,, ... ... ... ... '.'.'. 162 



As in the Original Standard, this Page is Intentionally Left Blank 



SP:8-1970 



ISI HANDBOOK OF MATHEMATICAL, 

PHYSICAL, CHEMICAL AND 

ENGINEERING TABLES 



0. FOREWORD 



0.1 This publication covering mathematical, physi- 
cal, chemical and engineering tables, is intended 
to serve as a reference in examinations by students 
of engineering and technology. The data are 
given in the metric system and these generally 
correspond to the Handbook of Mathematical, 
Physical and Engineering Tables of the Union 
Public Service Commission which had been serving, 
before the introduction of metric system, the 
purpose of such reference in the competitive 
examinations held by UPSC. 

0.2 The metric data furnished in the tables are 
derived from various Indian Standards and relate 
to the products as manufactured by the Indian 
industries. 

0.3 The data relating to physical and chemical 
quantities and units have been, as far as possible, 
based on the latest references available. The 
symbols and nomenclature used, are in accordance 
with the relevant ISO standards on quantities and 
units. 

0.4 The metric sections for structural steel which 
are covered in these tables conform to the Indian 
Standards. It will be noted that these have 
wider flange, thinner web and greater depth and 
have, therefore, greater structural efficiency com- 
pared to the inch sections earlier in use in 
India. 



0.5 The data covered in this document are based 
on the following publications: 

Handbook of Mathematical, Physical, Chemical 
and Engineering Tables. 1960. Union Public 
Service Commission, New Delhi 

ISI Handbook of Quantities, Conversion Factors, 
Formulae and Tables 

Indian Railway Specification T-12.64 Specifica- 
tion for Flat Bottomed Rails. 1964. Ministry 
of Railways, Government of India 

IS: 277-1969 Galvanized steel sheets (plain and 
corrugated ) ( second revision ) 

IS : 282-1963 Hard-drawn copper conductors for 
overhead power transmission ( revised ) 

IS: 808-1964 Rolled steel beam, channel and 
angle sections (revised) 

IS: 1173-1967 Hot rolled and slit steel tee bars 
( first revision ) 

IS; 1252-1958 Rolled steel sections, bulb angles 

IS: 1730-1961 Dimensions for steel plate, sheet 
and strip for structural and general engineering 
purposes 

IS: 1731-1961 Dimensions for steel flats for 
structural and general engineering purposes 

IS: 1732-1961 Dimensions for round and square 
steel bars for structural and general engineering 
purposes 

IS: 2982-1965 Copper conductors in insulated 
cables and cords 

ISO/R31/XI-1961 Recommendation for mathe- 
matical signs and symbols for use in the 
physical sciences and technology. 



As in the Original Standard, this Page is Intentionally Left Blank 



SECTION I 
NATHENATICAL TABLES 

(TABLES 1-12) 



As in the Original Standard, this Page is Intentionally Left Blank 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS 

(*In the case of these numbers, the first two digits for logarithms shown in hne 1 of second column should be 
increased by one.) 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




Proportional 






























Parts 




100 


00 000 


043 


087 


130 


173 


217 


260 


303 


346 


389 




44 


43 


42 


101 


432 


475 


518 


561 


604 


647 


689 


732 


775 


817 


1 


4,4 


4,3 


4,2 


102 


860 


903 


945 


988 


•030 


•072 


1 115 


•157 


•199 


•242 


2 


8,8 


8,6 


8,4 


103 


01284 


326 


368 


410 


452 


494 


536 


578 


620 


662 


3 


13,2 


12,9 


12,6 


104 


703 


745 


787 


828 


870 


912 


953 


995 


•036 


•078 


4 


17,6 


17,2 


16,8 


105 


02 119 


160 


202 


243 


284 


325 


366 


407 


449 


490 


5 


22,0 


21,5 


21,0 


106 


531 


572 


612 


653 


694 


735 


776 


816 


857 


898 


6 


26,4 


25,8 


25,2 


107 


938 


979 


019 


060 


•100 


'141 


•181 


•222 


•262 


302 


7 


30,8 


30,1 


29,4 


108 


08 342 


383 


423 


463 


503 


543 


583 


623 


663 


703 


8 


35,2 


34,4 


33,6 


109 


743 


782 


822 


862 


902 


941 


981 


•021 


•060 


•100 


9 


39,6 


38,7 


37,8 


110 


04139 


179 


218 


258 


297 


336 


376. 


415 


454 


493 




41 


40 


39 


111 


532 


571 


610 


650 


689 


727 


766 


805 


844 


883 


1 


4,1 


4,0 


3,9 


112 


922 


961 


999 


•038 


077 


"115 


•154 


192 


•231 


269 


2 


8,2 


8,0 


7,8 


113 


05 308 


346 


385 


423 


461 


500 


538 


576 


614 


652 


3 


12,3 


12,0 


11,7 


114 


690 


729 


767 


805 


843 


881 


918 


956 


994 1 


032 


4 


16,4 


16,0 


15,6 


115 


06 070 


108 


145 


183 


221 


258 


296 


333 


371 


408 


S 


20,5 


20,0 


19,5 


116 


446 


483 


521 


558 


595 


633 


670 


707 


744 


781 


6 


24,6 


24,0 


23,4 


117 


819 


856 


893 


930 


967 


004 


•041 


•078 


•US 


•151 


7 


28,7 


28,0 


27,3 


118 


07 188 


225 


262 


298 


335 


372 


408 


445 


482 


518 


8 


32,8 


32,0 


31,2 


119 


555 


591 


628 


664 


700 


737 


773 


809 


846 


882 


9 


36,9 


36,0 


35,1 


120 


918 


954 


990 


•027 


1 063 


099 


135 


•171 


207 


•243 




38 


37 


36 


121 


08 279 


314 


350 


386 


422 


458 


493 


529 


565 


600 


1 


3,8 


3,7 


3,6 


2 2 


636 


672 


707 


743 


778 


814 


849 


884 


920 


955 


2 


7,6 


7,4 


7,2 


123 


991 


026 


*061 


•096 


•132 


167 


•202 


•237 


•272 


•307 


3 


11,4 


11,1 


10,8 


124 


09 342 


377 


412 


447 


482 


517 


552 


587 


621 


656 


4 


15,2 


14,8 


14,4 


125 


691 


726 


760 


795 


830 


864 


899 


934 


968 


•003 


5 


19,0 


18,5 


18,0 


126 


10 037 


072 


106 


140 


175 


209 


243 


278 


312 


346 


6 


22,8 


22,2 


21,6 


127 


380 


415 


449 


483 


517 


551 


585 


619 


653 


687 


7 


26,6 


25,9 


25,2 


128 


721 


755 


789 


823 


857 


890 


924 


958 


992 


•025 


8 


30,4 


29,6 


28,8 


129 


11059 


093 


126 


160 


193 


227 


261 


294 


327 


361 


9 


34,2 


33,3 


32,4 


130 


394 


428 


461 


494 


528 


561 


594 


628 


661 


694 




35 


34 


33 


131 


727 


760 


793 


826 


860 


893 


926 


959 


992 


•024 


1 


3,5 


3,4 


3,3 


132 


12 057 


090 


123 


156 


189 


222 


254 


287 


320 


352 


2 


7,0 


6,8 


6,6 


133 


385 


418 


450 


483 


516 


548 


581 


613 


646 


678 


3 


10,5 


10,2 


9,9 


134 


710 


743 


775 


808 


840 


872 


905 


937 


969 


•001 


4 


14,0 


13,6 


13,2 


135 


13 033 


066 


098 


130 


162 


194 


226 


258 


290 


322 


5 


17,5 


17,0 


16,5 


136 


354 


386 


418 


450 


481 


513 


545 


577 


609 


640 


6 


21,0 


20,4 


19,8 


137 


672 


704 


735 


767 


799 


830 


862 


893 


925 


956 


7 


24,5 


23,8 


23,1 


138 


988 


*019 


*051 


082 


•114 


•145 


•176 


•208 


•239 


•270 


8 


28,0 


27,2 


26,4 


139 


14 301 


333 


364 


395 


426 


457 


489 


520 


551 


582 


9 


31,5 


30,6 


29,7 


140 


613 


644 


675 


706 


737 


768 


799 


829 


860 


891 




32 


31 


30 


141 


922 


953 


983 


*014 


•045 


*076 


•106 


137 


•168 


•198 


1 


3,2 


3,1 


3,0 


142 


15 229 


259 


290 


320 


351 


381 


412 


442 


473 


503 


2 


6,4 


6.2 


6,0 


143 


534 


564 


594 


625 


655 


685 


715 


746 


776 


806 


3 


9,6 


9,3 


9,0 


144 


836 


866 


897 


927 


957 


987 


•017 


047 


•077 


107 


4 


12,8 


12,4 


12,0 


14 


16 137 


167 


197 


227 


256 


286 


316 


346 


376 


406 


5 


16,0 


15,5 


15,0 


i4e 


435 


465 


495 


524 


554 


584 


613 


643 


673 


702 


6 


19,2 


18,6 


18,0 


147 


732 


761 


791 


820 


850 


879 


909 


938 


967 


997 


7 


22,4 


2l,7 


21,0 


US 


17 026 


056 


085 


114 


143 


173 


202 


231 


260 


289 


8 


25,6 


24.8 


24,0 


145 


319 


348 


377 


406 


435 


464 


493 


522 


551 


580 


9 


28,8 


27,9 


27,0 


15( 


609 


638 


667 


696 


725 


754 


782 


811 


840 


869 










No 





1 


2 


3 


4 


5 


6 


7 


8 


9 




Proportional 






























Parts 





( Continued } 



SP: 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS 



■ Contd 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




PROPORTIONAt 


























Parts 




150 


17 609 


638 


667 


696 


725 


7.54 


782 


811 


840 


869 




29 


28 


151 


898 


926 


955 


984 


•013 


041 


•070 


•099 


•127 


•156 


1 


2,9 


2,8 


152 


18184 


213 


241 


270 


298 


327 


355 


384 


412 


441 


2 


5,8 


5,6 


153 


469 


498 


526 


554 


583 


611 


639 


667 


696 


724 


3 


8,7 


8,4 


154 


752 


780 


808 


837 


865 


893 


921 


949 


977 


•005 


4 


11,6 


11,2 


1,55 


19 033 


061 


089 


117 


145 


173 


201 


229 


257 


285 


5 


14,5 


14,0 


1.56 


312 


340 


368 


396 


424 


451 


479 


507 


535 


562 


6 


17,4 


16,8 


157 


590 


618 


645 


673 


700 


728 


756 


783 


81) 


838 


7 


20,3 


19,6 


1.58 


866 


893 


921 


948 


976 


•003 


1 030 


•058 


1 085 


•112 


8 


23,2 


22,4 


159 


20 140 


167 


194 


222 


249 


276 


303 


330 


358 


385 


9 


26,1 


25,2 


160 


412 


439 


466 


493 


520 


548 


575 


602 


629 


656 




27 


26 


161 


683 


710 


737 


763 


790 


817 


844 


871 


898 


925 


1 


2,7 


2,6 


162 


952 


978 


•005 


•032 


'059 


•085 


•112 


1 139 


•165 


•192 


2 


5,4 


5,2 


163 


21219 


245 


272 


299 


325 


3.52 


378 


405 


431 


458 


3 


8,1 


7,8 


164 


484 


511 


537 


564 


590 


617 


643 


669 


696 


722 


4 


10,s 


10,4 


16.5 


748 


775 


801 


827 


854 


880 


906 


932 


9.58 


985 


5 


13,5 


13,0 


166 


22 011 


037 


063 


089 


115 


141 


167 


194 


220 


246 


6 


16,2 


15,6 


167 


272 


298 


324 


350 


376 


401 


427 


453 


479 


505 


7 


18,9 


18,2 


168 


531 


557 


583 


608 


634 


660 


686 


712 


737 


763 


8 


21,6 


20,8 


169 


789 


814 


840 


866 


891 


917 


943 


968 


994 


1 019 


9 


24'3 


23,4 


170 


23 045 


070 


096 


121 


147 


172 


198 


223 


249 


274 




25 




171 


300 


325 


350 


376 


401 


426 


452 


477 


502 


528 


1 


2,5 




172 


553 


573 


603 


629 


654 


679 


704 


729 


754 


779 


2 


5,0 




173 


805 


830 


855 


880 


905 


930 


955 


980 


005 


•030 


3 


7,5 




174 


24 055 


080 


105 


130 


155 


180 


204 


229 


254 


279 


4 


10,0 




17.5 


304 


329 


3.53 


378 


403 


428 


452 


477 


502 


527 


5 


12,5 




176 


551 


576 


601 


625 


650 


674 


699 


724 


748 


773 


6 


15,0 




177 


797 


822 


846 


871 


895 


920 


944 


969 


993 


'018 


7 


17,5 




178 


25 042 


066 


091 


115 


139 


164 


188 


212 


237 


261 


8 


20,0 




179 


285 


310 


334 


358 


382 


406 


431 


45.5 


479 


503 


9 


22,5 




180 


527 


551 


575 


600 


624 


648 


672 


696 


720 


744 




24 


23 


181 


768 


792 


816 


840 


864 


888 


912 


93.5 


959 


983 


1 


2,4 


2,3 


182 


26 007 


031 


055 


079 


102 


126 


150 


174 


198 


221 


2 


4,8 


-^,6 


183 


245 


269 


293 


316 


340 


364 


387 


411 


435 


4.58 


3 


7,2 


6,9 


184 


482 


505 


529 


553 


576 


600 


623 


647 


670 


694 


4 


9,6 


9,2 


185 


717 


741 


764 


788 


811 


834 


8.58 


881 


905 


928 


5 


12,0 


11,5 


186 


951 


975 


998 


•021 


•045 


'068 


•091 


1 114 


•138 


•161 


6 


14,4 


13,8 


187 


27 184 


207 


231 


254 


277 


300 


323 


346 


370 


393 


7 


16,8 


16,1 


188 


416 


439 


462 


485 


508 


531 


554 


577 


600 


623 


8 


19,2 


18,4 


189 


646 


669 


692 


715 


738 


761 


784 


807 


830 


852 


9 


21,6 


20,7 


190 


875 


898 


921 


944 


967 


989 


•012 


•035 


•058 


•081 




22 


21 


191 


28103 


126 


149 


171 


194 


217 


240 


262 


285 


307 


1 


2,2 


2,1 


192 


330 


353 


375 


398 


421 


443 


466 


488 


511 


533 


2 


+,+ 


4,2 


193 


556 


578 


601 


623 


646 


668 


691 


713 


735 


758 


3 


6,6 


6,3 


194 


780 


803 


825 


847 


870 


892 


914 


937 


959 


981 


4 


8,8 


8,4 


195 


29 003 


026 


048 


070 


092 


lis 


137 


159 


181 


203 


5 


11,0 


10,5 


196 


226 


248 


270 


292 


314 


336 


358 


380 


403 


42.5 


6 


13,2 


12,6 


197 


447 


469 


491 


513 


535 


557 


579 


601 


623 


645 


7 


15,4 


14'7 


198 


667 


688 


710 


732 


754 


776 


798 


820 


842 


863 


8 


17,6 


16,8 


199 


88.5 


907 


929 


951 


973 


994 


016 


'038 


•060 


•081 


9 


1.9,8 


18,9 


200 


30103 


125 


146 


168 


190 


211 


233 


255 


276 


298 








NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




Proportional 
Parts 





( Continutd ) 



10 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS —Contd 



No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 




Propoutionai. 
Parts 




200 


30 103 


12.5 


146 


168 


190 


211 


233 


255 


276 


298 




22 


21 


201 


320 


341 


363 


384 


406 


428 


449 


471 


492 


514 


1 


2,2 


2,1 


202 


535 


557 


578 


600 


621 


643 


664 


685 


707 


728 


2 


4,4 


4,2 


203 


750 


771 


792 


814 


83.5 


856 


878 


899 


920 


942 


3 


6,6 


6,3 


204 


963 


984 


•006 


*027 


*048 


*069 


•091 


112 


•133 


*154 


4 


8,8 


8,4 


205 


31 17.5 


197 


218 


239 


260 


281 


302 


323 


345 


366 


5 


11,0 


10,5 


206 


387 


408 


429 


450 


471 


492 


513 


534 


555 


576 


6 


13,2 


12,6 


207 


597 


618 


639 


660 


681 


702 


723 


744 


765 


785 


7 


15,4 


14,7 


208 


806 


827 


848 


869 


890 


911 


931 


952 


973 


994 


8 


17,6 


16,8 


209 


32 015 


035 


056 


077 


C98 


118 


139 


160 


181 


201 


9 


19,8 


18,9 


210 


222 


243 


263 


284 


305 


325 


346 


366 


387 


408 




20 




211 


428 


449 


469 


490 


510 


531 


552 


572 


593 


613 


1 


2,0 




212 


634 


654 


675 


695 


715 


736 


756 


777 


797 


818 


2 


4,0 




213 


838 


858 


879 


899 


919 


940 


960 


980 


•001 


•021 


3 


6,0 




214 


33 041 


062 


0S2 


102 


122 


143 


163 


183 


203 


224 


4 


8,0 




215 


244 


264 


284 


304 


325 


345 


365 


385 


405 


425 


5 


10,0 




216 


445 


465 


486 


506 


526 


546 


566 


586 


606 


626 


6 


12,0 




217 


646 


666 


686 


706 


726 


746 


766 


186 


S06 


826 


7 


14,0 




218 


846 


866 


885 


905 


92.5 


945 


965 


985 


'005 


•025 


8 


16,0 




219 


34 044 


064 


084 


104 


124 


143 


163 


183 


203 


223 


9 


18,0 




220 


242 


262 


282 


301 


321 


341 


361 


380 


400 


420 




19 




221 


439 


459 


479 


498 


518 


537 


557 


577 


596 


616 


1 


1,9 




222 


635 


6.55 


674 


694 


713 


733 


753 


772 


792 


811 


2 


3,8 




223 


830 


§50 


869 


889 


908 


928 


947 


967 


986 


005 


3 


5,7 




224 


35 025 


044 


064 


083 


102 


122 


141 


160 


180 


199 


4 


7,6 




225 


218 


238 


257 


276 


295 


315 


334 


353 


372 


392 


5 


9,5 




226 


411 


430 


449 


468 


488 


507 


526 


545 


564 


583 


6 


11,4 




227 


603 


622 


641 


660 


679 


698 


717 


736 


755 


774 


7 


13,3 




228 


793 


813 


832 


851 


870 


889 


908 


927 


946 


965 


8 


15,2 




229 


984 


*003 


*021 


*040 


*059 


*078 


•097 


116 


•135 


•154 


9 


17,1 




230 


36 173 


192 


211 


229 


248 


267 


286 


305 


324 


342 




18 




231 


361 


380 


399 


418 


436 


455 


474 


493 


511 


530 


1 


1/8 




232 


549 


568 


586 


605 


624 


642 


661 


680 


698 


717 


2 


3,6 




233 


736 


754 


773 


791 


810 


829 


847 


866 


884 


903 


3 


5,4 




234 


922 


940 


959 


977 


996 


014 


•033 


•051 


•070 


•088 


4 


7,2 




23.5 


37 107 


125 


144 


162 


181 


199 


218 


236 


254 


273 


5 


9,0 




236 


291 


310 


328 


346 


365 


383 


401 


420 


438 


457 


6 


10,8 




237 


475 


493 


511 


530 


548 


566 


585 


603 


621 


639 


7 


12,6 




238 


6.58 


676 


694 


712 


731 


749 


767 


785 


303 


822 


8 


14,4 




239 


840 


858 


876 


894 


912 


931 


949 


967 


98.5 


•003 


9 


16,2 




240 


38 021 


039 


057 


075 


093 


112 


130 


148 


166 


184 




17 




241 


202 


220 


238 


256 


274 


292 


310 


328 


346 


364 


1 


1,7 




242 


382 


399 


417 


435 


453 


471 


489 


507 


5 25 

70 OJ 


543 


2 


3,4 




243 


561 


578 


596 


614 


632 


650 


668 


686 


721 


3 


5,1 




244 


739 


757 


77.5 


792 


810 


828 


846 


863 


881 


899 


4 


6,8 




245 


917 


934 


952 


970 


987 


•005 


•023 


•041 


•058 


•076 


5 


8,5 




246 


39 094 


111 


129 


146 


164 


182 


t99 


217 


235 


252 


6 


10,2 




247 


270 


267 


305 


322 


340 


358 


37.5 


393 


410 


428 


7 


11,9 




248 


445 


463 


480 


498 


515 


533 


550 


568 


585 


602 


8 


13,6 




249 


620 


637 


655 


672 


690 


707 


724 


742 


759 


777 


9 


15,3 




250 


794 


811 


829 


846 


863 


881 


898 


915 


933 


950 








No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 




























Par t s 





( Continued ) 



11 



SP:8-1970 



TABLE 1 LOGARITHMS OF NUMBERS —Contd 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


p rop ort i onal 
Par t s 


250 


39 794 


811 


829 


846 


863 


881 


898 


915 


933 


950 




18 


251 


967 


985 


002 


•019 


1 037 


•054 


•071 


088 


•106 


•123 


1 


1,8 


252 


40 140 


157 


175 


192 


209 


226 


243 


261 


278 


295 


2 


3,6 


253 


312 


329 


346 


364 


381 


398 


415 


432 


449 


466 


3 


5,4 


254 


483 


500 


518 


535 


552 


569 


586 


603 


620 


637 


4 


7,2 


255 


654 


671 


688 


705 


722 


739 


756 


773 


790 


807 


5 


9,0 


256 


824 


841 


858 


875 


892 


909 


926 


943 


960 


976 


6 


10,8 


257 


993 


♦010 


•027 


1 044 


1 061 


•078 


•095 


•111 


•128 


•145 


7 


12,6 


258 


41 162 


179 


196 


212 


229 


246 


263 


280 


296 


313 


8 


14,4 


259 


330 


347 


363 


380 


397 


414 


430 


447 


464 


481 


9 


16,2 


260 


497 


514 


531 


547 


564 


581 


597 


614 


631 


647 




17 


261 


664 


681 


697 


714 


731 


747 


764 


780 


797 


814 


1 


1/7 


262 


830 


847 


863 


880 


896 


913 


929 


946 


963 


979 


2 


3,4 


263 


996 


1 012 


029 


1 045 


•062 


078 


095 


•111 


•127 


•144 


3 


5,1 


264 


42 160 


177 


193 


210 


226 


243 


259 


275 


292 


308 


4 


6,8 


265 


325 


341 


357 


374 


390 


406 


423 


439 


455 


472 


5 


8,5 


266 


488 


504 


521 


537 


553 


570 


586 


602 


619 


635 


6 


10,2 


267 


651 


667 


684 


700 


716 


732 


749 


765 


781 


797 


7 


11,9 


268 


813 


830 


846 


862 


878 


894 


911 


927 


943 


959 


8 


13,6 


269 


975 


991 


1 008 


•024 


1 040 


•056 


•072 


•088 


1 104 


•120 


9 


15,3 


270 


43 136 


152 


169 


185 


201 


217 


233 


249 


265 


281 




16 


271 


297 


313 


329 


34.5 


361 


377 


393 


409 


425 


441 


1 


1,6 


272 


457 


473 


489 


S0.5 


521 


537 


553 


569 


584 


600 


2 


3,2 


273 


616 


632 


648 


664 


680 


696 


712 


727 


743 


759 


3 


4,8 


274 


775 


791 


807 


823 


838 


854 


870 


886 


902 


917 


4 


6,4 


275 


933 


949 


965 


981 


996 


1 012 


028 


1 044 


•059 


•075 


5 


8,0 


276 


44091 


107 


122 


138 


154 


170 


185 


201 


217 


232 


6 


9,6 


277 


248 


264 


279 


295 


311 


326 


342 


358 


373 


389 


7 


11,2 


278 


404 


420 


436 


451 


467 


483 


498 


514 


529 


545 


8 


12,8 


279 


560 


576 


592 


607 


623 


638 


654 


669 


685 


700 


9 


14,4 


280 


716 


731 


747 


762 


778 


793 


809 


824 


840 


855 




15 


281 


871 


886 


902 


917 


932 


948 


963 


979 


994 


•010 


1 


1,5 


252 


45 025 


040 


056 


071 


086 


102 


117 


133 


148 


163 


2 


3,0 


283 


179 


194 


209 


22.5 


240 


255 


271 


286 


301 


317 


3 


4,5 


284 


332 


347 


362 


378 


393 


408 


423 


439 


454 


469 


4 


6,0 


285 


484 


500 


515 


530 


545 


561 


576 


591 


606 


621 


5 


7.5 


286 


637 


652 


667 


682 


697 


712 


728 


743 


758 


773 


6 


9,0 


287 


788 


803 


818 


834 


849 


864 


879 


894 


909 


924 


7 


10,5 


288 


939 


9.54 


969 


984 


000 


•015 


1 030 


1 045 


•060 


•075 


8 


12,0 


289 


46 090 


105 


120 


135 


150 


165 


180 


195 


210 


225 


9 


13,5 


290 


240 


255 


270 


28.5 


300 


315 


330 


345 


359 


374 




14 


291 


389 


404 


419 


434 


449 


464 


479 


494 


509 


0523 


1 


1,4 


292 


538 


553 


568 


583 


598 


613 


627 


642 


657 


672 


2 


2,8 


293 


687 


702 


716 


731 


746 


V61 


776 


790 


805 


820 


3 


4,2 


294 


835 


850 


864 


879 


894 


909 


923 


938 


953 


967 


4 


5,6 


295 


982 


997 


•012 


1 026 


•041 


•056 


•070 


•085 


•100 


•114 


5 


7,0 


296 


47 129 


144 


159 


173 


188 


202 


217 


232 


246 


261 


6 


8,4 


297 


276 


290 


305 


319 


334 


349 


363 


378 


392 


407 


1 


9,8 


298 


422 


436 


451 


465 


480 


494 


509 


524 


538 


553 


8 


11,2 


299 


567 


582 


596 


611 


625 


640 


654 


669 


683 


698 


9 


-^A 


300 


712 


727 


741 


756 


770 


784 


799 


813 


828 


842 






NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


P ROPC 

F 


7R TI ONAL 
ARTS 



{ Continued ) 



12 



SP:8-1970 



TABLE 1 LOGARITHMS OF NUMBERS ^Contd 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 


300 


47 712 


727 


741 


7.56 


770 


784 


799 


8i: 


828 


842 




301 


857 


871 


885 


900 


914 


929 


943 


958 


972 


986 




302 


48 001 


015 


029 


044 


058 


073 


087 


101 


116 


130 




303 


144 


159 


173 


187 


202 


216 


230 


244 


259 


273 


15 


304 


287 


302 


316 


330 


344 


359 


373 


387 


401 


416 


1 


1;5 


305 


430 


444 


458 


473 


487 


501 


515 


530 


544 


558 


2 


3,0 


306 


572 


586 


601 


615 


629 


643 


6.57 


671 


686 


700 


3 


4'5 


307 


714 


728 


742 


756 


770 


785 


799 


813 


827 


841 


4 


6,0 


308 


85.5 


869 


883 


897 


911 


926 


940 


954 


968 


982 


5 


7,S 


309 


996 


•010 


♦024 


•038 


•052 


1 066 


1 080 


•094 


1 108 


•122 


6 

7 


9,0 
10,5 


310 


49 136 


150 


164 


178 


192 


206 


220 


234 


248 


262 


8 


12,0 


311 


276 


290 


304 


318 


332 


346 


360 


374 


388 


402 


9 


13,5 


312 


415 


429 


443 


457 


471 


485 


499 


513 


527 


541 




313 


5S4 


568 


582 


596 


610 


624 


638 


651 


665 


679 




314 


693 


707 


721 


734 


748 


762 


776 


790 


803 


817 




315 


831 


845 


859 


872 


886 


900 


914 


927 


941 


955 


14 


316 


969 


982 


996 


•010 


•024 


•037 


•OSl 


1 065 


•079 


*092 


1 


1,4 


317 


50 106 


120 


133 


147 


161 


174 


188 


202 


215 


229 


2 


2,8 


318 


243 


2.56 


270 


284 


297 


311 


325 


338 


352 


36.5 


3 


4,2 


319 
320 


379 

515 


393 
529 


406 
542 


420 
556 


433 
569 


447 
583 


461 
596 


474 
610 


488 
623 


501 
637 


4 
5 
6 


5,6 
7,0 
8,4 


321 


6.51 


664 


678 


691 


70.5 


718 


732 


745 


759 


772 


7 


9,8 


322 


786 


799 


813 


826 


840 


853 


866 


880 


893 


907 


8 


11,2 


323 


9 2 


934 


947 


961 


974 


987 


•001 


1 014 


1 02s 


"041 


9 


12,6 


324 


51055 


068 


081 


095 


108 


121 


135 


148 


162 


175 




325 


188 


202 


215 


228 


242 


255 


268 


282 


295 


308 




326 


322 


335 


348 


362 


375 


388 


402 


415 


428 


441 




327 


455 


468 


481 


495 


508 


521 


534 


548 


561 


574 


13 


328 


587 


601 


614 


627 


640 


654 


667 


680 


693 


706 


1 


1,3 


329 
330 


720 
851 


733 
865 


746 
878 


759 
891 


772 
904 


786 
917 


799 
930 


812 

943 


825 
957 


838 
970 


2 
3 
4 


2,6 
3,9 

5,2 


331 


983 


996 


♦009 


•022 


•035 


•048 


'061 


075 


•088 


•101 


5 


6,5 


332 


52 114 


127 


140 


153 


166 


179 


192 


205 


218 


231 


6 


7,8 


333 


244 


257 


270 


284 


297 


310 


323 


336 


349 


362 


7 


9,1 


334 


375 


388 


401 


414 


427 


440 


4.53 


466 


479 


492 


8 


10,4 


33.5 


504 


517 


530 


543 


5.56 


569 


582 


595 


608 


621 


9 


11,7 


336 


634 


647 


660 


673 


686 


699 


711 


724 


737 


750 




337 


763 


776 


789 


802 


815 


827 


840 


8.53 


866 


879 




338 


592 


905 


917 


930 


943 


956 


969 


982 


994 


•007 




339 
340 


53 020 

148 


033 
161 


046 
173 


058 
186 


071 
199 


084 
212 


097 
224 


110 
237 


122 
250 


135 
263 


1 
2 


1^ 

1,2 

2,4 


341 


275 


288 


301 


314 


326 


339 


352 


364 


377 


390 


3 


3,6 


342 


403 


415 


428 


441 


453 


466 


479 


491 


504 


517 


4 


4,8 


343 


529 


542 


5.55 


567 


580 


593 


605 


618 


631 


643 


5 


6,0 


344 


656 


668 


681 


694 


706 


719 


732 


744 


757 


769 


6 


7,2 


345 


782 


794 


807 


820 


832 


845 


857 


870 


882 


895 


7 


8,4 


346 


908 


920 


933 


945 


958 


970 


983 


995 


•008 


•020 


8 


9,6 


347 


54 033 


045 


058 


070 


083 


095 


108 


120 


133 


145 


9 


10,8 


348 


158 


170 


183 


195 


208 


220 


233 


24.5 


258 


270 






34<i 


283 


295 


307 


320 


332 


345 


357 


370 


382 


394 




350 


407 


419 


432 


444 


4.56 


469 


481 


494 


506 


518 




No 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Profortional 

Parts 



( Continued ) 



SP : 8 - 1970 



T^ABLE 1 LOGARITHMS OF NUMBERS —Contd 



Nc 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 


351 


54 407 


419 


432 


444 


456 


469 


481 


494 


506 


518 




351 


531 


543 


555 


568 


580 


593 


605 


617 


630 


642 




35: 


654 


667 


679 


691 


704 


716 


728 


741 


753 


765 




35: 


777 


790 


802 


814 


827 


889 


851 


864 


876 


888 


13 


35- 


900 


913 


925 


937 


949 


962 


974 


986 


998 


1 Oil 


1 


1,3 


35; 


55 023 


035 


047 


060 


072 


084 


096 


108 


121 


133 


2 


2,6 


35< 


145 


157 


169 


182 


194 


206 


218 


230 


242 


255 


3 


3,9 


35: 


267 


279 


291 


303 


315 


328 


340 


352 


364 


376 


4 


5,2 


351 


388 


400 


413 


425 


437 


449 


461 


473 


485 


497 


5 


6,5 


35< 


509 


522 


534 


546 


558 


570 


582 


594 


606 


618 


6 

7 


7,8 
9,1 


36( 


630 


642 


654 


666 


678 


691 


703 


715 


727 


789 


8 


10,4 


361 


751 


763 


775 


787 


799 


811 


823 


835 


847 


859 


9 


11 7 


36: 


871 


883 


895 


907 


919 


931 


943 


955 


967 


979 




36: 


991 


•003 


♦015 


027 


*038 


050 


•062 


•074 


•086 


•098 




364 


56 110 


122 


134 


146 


158 


170 


182 


194 


205 


217 




365 


229 


241 


253 


265 


277 


289 


301 


312 


324 


836 


12 


36e 


348 


360 


372 


384 


396 


407 


419 


431 


443 


455 


1 


1,2 


36i 


467 


478 


490 


502 


514 


526 


538 


549 


561 


573 


2 


2,4 


365 


585 


597 


608 


620 


632 


644 


656 


667 


679 


691 


3 


3,6 


365 


703 


714 


726 


738 


750 


761 


773 


785 


797 


808 


4 
5 


4,8 
6,0 


37C 


8 2 


832 


844 


855 


867 


879 


891 


902 


914 


926 


6 


7,2 


371 


937 


949 


961 


972 


984 


996 


•008 


•019 


•031 


1 043 


7 


8,4 


372 


57 054 


066 


078 


089 


101 


113 


124 


136 


148 


159 


8 


9,6 


373 


171 


183 


194 


206 


217 


229 


241 


252 


264 


276 


9 


10.8 


374 


287 


299 


310 


322 


334 


345 


357 


368 


880 


892 




375 


403 


415 


426 


438 


449 


461 


473 


484 


496 


507 




376 


519 


530 


542 


553 


565 


576 


588 


600 


611 


623 




377 


634 


646 


657 


669 


680 


692 


703 


715 


726 


738 




11 


378 


749 


761 


772 


784 


795 


807 


818 


830 


841 


852 


1 


1,1 


379 


864 


875 


887 


898 


910 


921 


933 


944 


955 


967 


2 

3 


2,2 

3,3 


380 


978 


990 


*001 


*013 


024 


•035 


•047 


•058 


•070 


•081 


4 


"♦,+ 


381 


58 092 


104 


115 


127 


138 


149 


161 


172 


184 


195 


5 


5,5 


382 


206 


218 


229 


240 


252 


263 


274 


286 


297 


309 


6 


6,6 


383 


320 


331 


343 


354 


365 


377 


388 


399 


410 


422 


7 


7,7 


384 


488 


444 


456 


467 


478 


490 


501 


512 


524 


535 


8 


8,8 


385 


546 


557 


569 


580 


591 


602 


614 


625 


686 


647 


9 


9.9 


386 


659 


670 


681 


692 


704 


715 


726 


737 


749 


760 




387 


771 


782 


794 


805 


816 


827 


838 


8.50 


861 


872 




388 


883 


894 


906 


917 


928 


939 


950 


961 


973 


984 




389 


995 


006 


*017 


»028 


*040 


•051 


•062 


•073 


•084 


•095 


1 


10 
1,0 


390 


59 106 


118 


129 


140 


151 


162 


173 


184 


195 


207 


2 


2,0 


391 


218 


229 


240 


251 


262 


273 


284 


295 


806 


818 


3 


3,0 


392 


329 


340 


351 


362 


373 


384 


395 


406 


417 


428 


4 


4,0 


393 


489 


450 


461 


472 


483 


494 


506 


517 


528 


539 


S 


5,0 


394 


550 


561 


572 


583 


594 


605 


616 


627 


688 


649 


6 


6,0 


395 


660 


671 


682 


693 


704 


715 


726 


737 


748 


759 


7 


7,0 


396 


770 


780 


791 


802 


813 


824 


835 


846 


857 


868 


8 


8,0 


397 


879 


890 


901 


912 


923 


934 


945 


956 


966 


977 


9 


9,0 


398 


988 


999 


*0J0 


1 021 


•032 


'043 


•054 


•065 


•076 


•086 




399 


60 097 


108 


119 


130 


141 


152 


163 


173 


184 


195 




400 


206 


217 


228 


239 


249 


260 


271 


282 


293 


304 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 



( Continued ) 



14 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS 



• Contd 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


p ropor t zonal 
Parts 


4M 


60 206 


217 


228 


239 


249 


260 


271 


282 


29j 


304 




401 


314 


325 


336 


347 


358 


369 


379 


390 


401 


412 




4ea 


423 


433 


444 


455 


466 


477 


487 


498 


509 


520 




403 


531 


541 


552 


563 


574 


584 


595 


606 


617 


627 




40* 


638 


649 


660 


670 


681 


692 


703 


713 


724 


735 




4s5 


746 


756 


767 


778 


788 


799 


810 


821 


831 


842 




% 


853 


863 


874 


885 


895 


906 


917 


927 


938 


949 




407 


959 


970 


981 


991 


*002 


'013 


'023 


•034 


*04S 


•055 


11 


408 


61066 


077 


087 


098 


109 


119 


130 


140 


151 


162 


1 


l,t 


409 


172 


183 


194 


204 


215 


225 


236 


247 


257 


268 


2 


2,2 


4» 


278 


289 


300 


310 


321 


331 


342 


352 


363 


374 


3 
4 


3,3 
4,4 
5,5 
6,6 
7,7 
8,8 
9,9 


411 


384 


395 


405 


416 


426 


437 


448 


458 


469 


479 


s 


412 


490 


500 


511, 


521 


532 


542 


553 


563 


574 


584 


5 


413 


595 


606 


616 


627 


637 


648 


658 


669 


679 


690 


7 


414 


700 


711 


721 


731 


742 


752 


763 


773 


784 


794 


8 


415 


805 


815 


826 


836 


847 


857 


868 


878 


888 


899 


9 


416 


909 


920 


930 


941 


951 


962 


972 


982 


993 


003 




417 


62 014 


024 


034 


045 


055 


066 


076 


086 


097 


107 




418 


118 


128 


138 


149 


159 


170 


180 


190 


201 


211 




419 


221 


232 


242 


252 


263 


273 


284 


294 


304 


315 




420 


325 


335 


346 


356 


366 


377 


387 


397 


408 


418 


10 


421 


428 


439 


449 


459 


469 


480 


490 


500 


511 


521 


1 10 


422 


531 


542 


552 


562 


572 


583 


593 


603 


613 


624 


2 


2,0 


423 


634 


644 


655 


665 


675 


685 


696 


706 


716 


726 


3 


3,0 


424 


737 


747 


757 


767 


778 


788 


798 


808 


818 


829 


4 


4,0 


425 


839 


849 


859 


870 


880 


890 


900 


910 


921 


931 


5 


5,0 


426 


941 


951 


961 


972 


982 


992 


♦002 


*012 


*022 


*033 


6 


6,0 


427 


63 043 


053 


063 


073 


083 


094 


104 


114 


124 


134 


7 


70 


428 


144 


1,55 


165 


175 


185 


195 


205 


215 


22s 


236 


8 


8,0 


429 


246 


256 


266 


276 


286 


296 


306 


317 


327 


337 


9 


9,0 


430 


347 


357 


367 


377 


387 


397 


407 


417 


428 


438 






431 


448 


458 


468 


478 


488 


498 


508 


518 


528 


538 




432 


548 


558 


568 


579 


589 


599 


609 


619 


629 


639 




433 


649 


659 


669 


679 


689 


699 


709 


719 


729 


739 




434 


749 


759 


769 


779 


789 


799 


809 


819 


829 


839 




435 


849 


859 


869 


879 


889 


899 


909 


919 


929 


939 


9 


436 


949 


959 


969 


979 


988 


998 


"008 


018 


'028 


♦038 


1 


0,9 


437 


64 048 


058 


068 


078 


088 


098 


108 


118 


128 


137 


2 


1,8 


43« 


147 


157 


167 


177 


187 


197 


207 


217 


227 


237 


3 


2,7 


439 


246 


256 


266 


276 


286 


296 


306 


316 


326 


335 


4 

5 
6 
7 
8 
9 


3,6 
4,5 


440 


345 


355 


365 


375 


385 


395 


404 


414 


424 


434 


5,4 


441 


444 


454 


464 


473 


483 


493 


503 


513 


523 


532 


6 3 


442 


542 


552 


562 


572 


582 


591 


601 


611 


621 


631 


7,2 


443 


640 


650 


660 


670 


680 


689 


699 


709 


719 


729 


8 1 


444 


738 


748 


758 


768 


777 


787 


797 


807 


816 


826 


",* 


445 


836 


846 


856 


865 


875 


885 


§95 


904 


914 


924 




446 


933 


943 


953 


963 


972 


982 


992 


*002 


*011 


*021 




447 


65 031 


040 


050 


060 


070 


079 


089 


099 


108 


118 




448 


128 


137 


147 


1.57 


167 


176 


186 


1^ 


205 


215 




449 


225 


234 


244 


254 


263 


273 


283 


292 


302 


312 




450 


321 


331 


341 


350 


360 


369 


379 


389 


398 


408 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


ProportioNa l 

Parts 



( Continued ) 



15 



SP:8- 1970 



TABLE 1 LOGARITHMS OF NUMBERS-Co&d 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
























Parts 


450 


65 321 


331 


341 


350 


360 


369 


379 


389 


398 


408 




451 


418 


427 


437 


447 


456 


466 


475 


485 


495 


504 




452 


514 


523 


533 


543 


552 


562 


571 


581 


591 


600 




453 


610 


619 


629 


639 


648 


658 


667 


677 


686 


696 




454 


706 


715 


725 


734 


744 


753 


763 


772 


782 


792 




455 


801 


81,1 


820 


830 


839 


849 


858 


868 


877 


887 




456 


896 


906 


916 


925 


935 


944 


954 


963 


973 


982 




457 


992 


*001 


♦on 


•020 


•030 


'039 


•049 


•058 


•068 


•077 


10 


4.58 


66 087 


096 


106 


115 


124 


134 


143 


153 


162 


172 


1 


1,0 


459 


181 


191 


200 


210 


219 


229 


238 


247 


257 


266 


2 
3 


2,0 
3,0 


460 


276 


285 


295 


304 


314 


323 


332 


342 


351 


361 


4 


40 


461 


370 


380 


389 


398 


408 


417 


427 


436 


445 


455 


5 


5,0 


462 


464 


474 


483 


492 


502 


511 


521 


530 


539 


549 


6 


6,0 


463 


5.58 


567 


577 


586 


596 


605 


614 


624 


633 


642 


7 


7,0 


464 


6.52 


661 


671 


680 


689 


699 


708 


717 


727 


736 


8 


80 


465 


745 


755 


764 


773 


783 


792 


801 


811 


820 


829 


9 


9 


466 


839 


848 


857 


867 


876 


885 


894 


904 


913 


922 


- f 


467 


932 


941 


950 


960 


969 


978 


987 


997 


•006 


015 




468 


67 025 


034 


043 


052 


062 


071 


080 


089 


099 


108 




469 


117 


127 


136 


145 


154 


164 


173 


182 


191 


201 




470 


210 


219 


228 


237 


247 


256 


265 


274 


284 


293 




471 


302 


311 


321 


330 


339 


348 


3.57 


367 


376 


385 


9 


472 


394 


403 


413 


422 


431 


440 


449 


459 


468 


477 


1 


0,9 


473 


486 


495 


504 


514 


523 


532 


541 


550 


560 


569 


2 


1,8 


474 


578 


587 


596 


605 


614 


624 


633 


642 


651 


660 


3 


2,7 


475 


669 


679 


688 


697 


706 


715 


724 


733 


742 


752 


4 


3,6 


476 


761 


770 


779 


788 


797 


806 


815 


825 


834 


843 


5 


4,5 


477 


852 


861 


870 


879 


888 


897 


906 


916 


925 


934 


6 


5,4- 


478 


943 


952 


961 


970 


979 


988 


997 


•006 


•015 


•024 


7 


6,3 


479 


68 034 


043 


052 


061 


070 


079 


088 


097 


106 


115 


8 


7,2 


480 


124 


133 


142 


151 


160 


169 


178 


187 


196 


205 


9 


8,1 


481 


21.5 


224 


233 


242 


251 


260 


269 


278 


287 


296 




482 


305 


314 


323 


332 


341 


350 


359 


368 


377 


386 




483 


39.5 


404 


413 


422 


431 


440 


449 


458 


467 


476 




484 


485 


494 


502 


511 


520 


529 


538 


547 


556 


565 




485 


574 


583 


592 


601 


610 


619 


628 


637 


646 


655 


8 


486 


664 


673 


681 


690 


699 


708 


717 


726 


735 


744 


1 


0,8 


487 


753 


762 


771 


780 


789 


797 


806 


815 


824 


833 


2 


1,6 


488 


842 


851 


860 


869 


878 


886 


895 


904 


913 


922 


3 


2,4 


489 


931 


940 


949 


958 


966 


975 


984 


993 


•002 


•Oil 


4 


/ 

3,2 


490 


69 020 


028 


037 


046 


055 


064 


073 


082 


090 


099 


5 


4,0 


491 


108 


117 


126 


135 


144 


152 


161 


170 


179 


188 


6 


4,8 


492 


197 


205 


214 


223 


232 


241 


249 


2.58 


267 


276 


7 


5,6 


493 


285 


294 


302 


311 


320 


329 


338 


346 


355 


364 


8 


6,4 


494 


373 


381 


390 


399 


408 


417 


425 


434 


443 


452 


9 


7,2 


495 


461 


469 


478 


487 


496 


504 


513 


522 


531 


539 




496 


548 


557 


566 


574 


583 


592 


601 


609 


618 


627 




497 


636 


644 


653 


662 


671 


679 


688 


697 


705 


714 




498 


723 


732 


740 


749 


758 


767 


775 


784 


793 


801 




499 


810 


819 


827 


836 


845 


854 


862 


871 


880 


888 




500 


897 


906 


914 


923 


932 


940 


949 


958 


966 


975 




No 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
























Parts 



( Continued } 



16 



SP:8-1970 



TABLE 1 LOGARITHMS OF NUMBERS 



Contd 



No. 





1 


2 


3 


4 


5 


6 
949 


7 
958 


8 


9 


proportional 
Parts 


500 


69 897 


906 


914 


923 


932 


940 


966 


975 




501 


984 


992 


*001 


*010 


'018 


'027 


*036 


*044 


*053 


♦062 




502 


70 070 


079 


088 


096 


105 


114 


122 


131 


140 


148 




503 


157 


165 


174 


183 


191 


200 


209 


217 


226 


234 




504 


243 


252 


260 


269 


278 


286 


29-5 


303 


312 


321 




505 


329 


338 


346 


355 


364 


372 


381 


389 


398 


406 




506 


415 


424 


432 


441 


449 


458 


467 


475 


484 


492 




507 


501 


509 


51'8 


526 


53.5 


544 


552 


561 


569 


578 




9 


508 


586 


595 


603 


612 


621 


629 


638 


646 


655 


663 


1 


0,9 


509 


672 


680 


689 


697 


706 


714 


723 


731 


740 


749 


2 


1/8 


510 


757 


766 


774 


783 


791 


800 


808 


817 


825 


834 


3 
4 


2,7 
3 6 


ill 


842 


851 


859 


868 


876 


885 


893 


9Q2 


910 


Y19 


5 


45 


512 


927 


935 


944 


952 


961 


969 


978 


986 


995 


♦003 


6 


V*' 

54 


513 


71012 


020 


029 


037 


046 


054 


063 


Oil 


079 


088 


7 
8 
9 


6 3 


514 


096 


105 


113 


122 


130 


139 


147 


155 


164 


172 


1,2 
8,1 


515 


181 


189. 


198 


206 


214 


223 


231 


240 


248 


257 


516 


265 


273 


282 


290 


299 


307 


315 


324 


332 


341 


517 


349 


357 


366 


374 


383 


391 


399 


408 


416 


425 




518 


433 


441 


4.50 


458 


466 


475 


483 


492 


500 


508 




519 


517 


52.5 


533 


542 


550 


559 


567 


575 


584 


592 




520 


600 


609 


617 


625 


634 


642 


650 


659 


667 


675 


8 


521 


684 


692 


700 


709 


717 


725 


734 


742 


750 


759 


1 


0,8 


522 


767 


775 


784 


792 


800 


809 


817 


825 


834 


842 


2 


1,6 


523 


850 


858 


867 


875 


883 


892 


900 


908 


917 


925 


3 


2,4 


524 


933 


941 


950 


958 


966 


975 


983 


991 


999 


♦008 


4 


3,2 


525 


72 016 


024 


032 


041 


049 


057 


066 


074 


082 


090 


5 


4,0 


526 


099 


107 


115 


123 


132 


140 


148 


156 


165 


173 


6 


4,8 


527 


181 


189 


198 


206 


214 


222 


230 


239 


247 


255 


. 7 


•\6 


528 


263 


272 


280 


288 


296 


304 


313 


321 


329 


.337 


' 8 


(>A 


529 


346 


354 


362 


370 


378 


387 


395 


403 


411 


419 


9 


7'2 


530 


428 


436 


444 


452 


460 


469 


477 


485 


493 


501 




531 


509 


518 


526 


534 


542 


5:50 


558 


567 


575 


583 




532 


591 


599 


607 


616 


624 


632 


640 


648 


656 


665 




533 


673 


681 


689 


697 


705 


713 


722 


730 


738 


746 




534 


754 


762 


770 


779 


787 


795 


803 


811 


819 


827 




535 


835 


843 


852 


860 


868 


876 


884 


892 


900 


908 




7 


536 


916 


925 


933 


941 


949 


957 


965 


973 


981 


989 


1 


0,7 


537 


997 


♦006 


*014 


*022 


*030 


»038 


*046 


•054 


♦062 


♦070 


2 


^A 


538 


73 078 


086 


094 


102 


111 


I'19 


127 


135 


143 


151 


3 


2,1 


539 


159 


167 


175 


183 


191 


199 


207 


215 


223 


231 


4 


2,8 


540 


239 


247 


255 


263 


272 


280 


288 


296 


304 


312 


5 


3,5 


541 


320 


328 


336 


344 


3.52 


360 


368 


376 


384 


392 


6 


4.2 


542 

543 
544 


400 
480 
560 


408 
488 
568 


416 
496 
576 


424 
504 
584 


432 
512 
592 


440 
520 
600 


448 
528 
608 


456 
536 
616 


464 
544 
624 


472 
552 
632 


7 
8 
9 


4,9 

5,6 
6,3 


545 


640 


648 


656 


664 


672 


679 


687 


695 


703 


711 




546 


719 


727 


735 


743 


751 


759 


767 


775 


783 


791 




547 


799 


807 


815 


823 


830 


838 


846 


854 


862 


870 




548 


878 


886 


894 


902 


910 


918 


926 


933 


941 


949 




549 


957 


965 


973 


981 


989 


997 


*005 


*013 


♦020 


♦028 




550 


74 036 


044 


052 


060 


068 


076 


084 


092 


099 


107 




No 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportion.il 
Parts 



( Continued) 



17 



SP 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS -Coiitd 



No. 





1 


2 


3 


4 


5 


6 


7 


a 


9 


I'ROPORTIONAL 




74 036 




052 


060 














Parts 


550 


044 


068 


076 


084 


092 


099 


107 




551 


115 


123 


131 


139 


147 


155 


162 


170 


178 


186 




552 


I'H 


202 


210 


218 


225 


233 


241 


249 


257 


265 




553 


273 


280 


288 


296 


304 


312 


320 


327 


335 


343 




554 


351 


359 


367 


374 


382 


390 


398 


406 


414 


421 




555 


429 


437 


445 


453 


461 


468 


476 


484 


492 


500 




556 


507 


515 


523 


531 


539 


547 


554 


562 


570 


578 




557 


586 


593 


601 


609 


617 


624 


632 


640 


648 


656 




558 


663 


671 


679 


687 


695 


702 


710 


718 


726 


733 




559 


741 


749 


757 


764 


772 


780 


788 


796 


803 


811 




560 


819 


827 


834 


842 


850 


858 


865 


873 


881 


a89 


S 


561 


896 


904 


912 


920 


927 


935 


943 


950 


958 


966 


1 


0,8 


562 


974 


981 


989 


997 


•005 


012 


*020 


*028 


•035 


•043 


2 


^A 


563 


75 051 


059 


066 


074 


082 


089 


097 


105 


113 


120 


3 


2A 


564 


125 


136 


143 


151 


159 


166 


174 


182 


189 


197 


4 


3,2 


565 


205 


213 


220 


228 


236 


243 


251 


259 


266 


274 


5 


4,0 


566 


282 


289 


297 


305 


312 


320 


328 


335 


343 


351 


6 


4,8 


567 


358 


366 


374 


381 


389 


397 


404 


412 


420 


427 


7 


5,6 


568 


435 


442 


450 


458 


465 


473 


481 


488 


496 


504 


a 


6,4 


569 


511 


519 


526 


534 


542 


549 


557 


565 


572 


580 


9 


7,2 


570 


587 


595 


603 


610 


618 


626 


633 


641 


648 


656 




571 


664 


671 


679 


686 


694 


702 


709 


717 


724 


732 




572 


740 


747 


755 


762 


770 


778 


785 


793 


800 


808 




573 


815 


823 


831 


838 


846 


853 


X61 


S68 


876 


884 




574 


891 


a99 


906 


914 


921 


929 


937 


044 


952 


959 




575 


967 


974 


982 


989 


997 


005 


*012 


020 


•027 


•035 




576 


76 042 


050 


057 


065 


072 


080 


087 


095 


103 


110 




577 


118 


125 


133 


140 


148 


155 


163 


170 


178 


185 




578 


l')3 


200 


208 


215 


223 


230 


238 


245 


253 


260 




579 


26S 


275 


283 


290 


298 


303 


313 


320 


328 


335 




580 


343 


350 


35x 


365 


373 


380 


388 


395 


403 


410 


7 


5x1 


41H 


425 


433 


440 


448 


455 


462 


470 


477 


485 


1 


0,7 


582 


4<)2 


500 


507 


515 


522 


530 


537 


545 


552 


559 


2 


^A 


583 


567 


574 


582 


589 


597 


604 


612 


619 


626 


634 


3 


2-1 


584 


641 


649 


656 


664 


671 


678 


686 


693 


701 


708 


4 


2,8 


585 


716 


723 


730 


738 


745 


753 


760 


768 


775 


782 


5 


3,5 


586 


790 


797 


805 


812 


819 


a27 


834 


842 


x49 


a56 


6 


^2 


587 


864 


871 


879 


886 


893 


901 


908 


916 


923 


930 


7 


4,9 


588 


938 


945 


953 


960 


967 


975 


982 


989 


997 


*004 


a 


5,6 


58<) 


77 012 


019 


026 


034 


041 


048 


056 


063 


070 


078 


9 


6,3 


590 


085 


093 


100 


107 


115 


122 


129 


137 


144 


151 




5'^»1 


159 


166 


173 


181 


188 


195 


203 


210 


217 


225 




592 


232 


240 


247 


254 


262 


269 


276 


283 


291 


298 




593 


305 


313 


320 


327 


335 


342 


349 


357 


364 


371 




594 


379 


386 


393 


401 


408 


415 


422 


430 


437 


444 




595 


452 


459 


466 


434 


481 


488 


495 


503 


510 


517 




596 


525 


532 


539 


546 


554 


561 


568 


576 


583 


590 




597 


597 


605 


612 


619 


627 


634 


641 


648 


656 


663 




598 


670 


677 


685 


692 


699 


706 


714 


721 


728 


73.5 




599 


743 


750 


757 


764 


772 


779 


786 


793 


801 


808 




600 


815 


822 


830 


837 


844 


851 


859 


866 


873 


880 




wo 





1 


2 


3 


4 


5 


6 


7 


8 


9 


p roportional 
Parts 



( Continued ) 



18 



SP:8-1970 



TABLE 1 LOGARITHMS OF NUMBERS-- Contd 



No 




77 81 .S 


1 


2 


3 
837 


4 

844 


i . 
i 5 


6 


7 


8 


9 
880 


Propoktiona), 
1'aris 


600 


822 


830 


851 


859 


866 


873 




601 


887 


895 


002 


909 


916 


924 


93! 


938 


945 


952 




602 


960 


967 


974 


9x1 


988 


996 


*003 


010 


*017 


*025 




603 


78 0.12 


0.59 


046 


053 


061 


068 


075 


082 


089 


097 




604 


104 


111 


118 


125 


132 


140 


147 


154 


161 


16X 




605 


176 


18.-? 


190 


197 


204 


211 


219 


226 


233 


240 




606 


247 


254 


262 


269 


276 


283 


290 


297 


305 


312 




607 


319 


326 


333 


340 


347 


355 


362 


369 


376 


383 


8 


608 


390 


.398 


405 


412 


419 


426 


433 


440 


447 


455 


1 


0,8 


60y 


462 


469 


476 


483 


490 


497 


S04 


512 


510 


.S26 


2 


1,6 


610 


533 


540 


547 


554 


561 


569 


576 


583 


590 


597 


3 
4 
5 
6 

7 
8 
9 


2,4 
3,2 
4,0 
4,8 
5,6 
6,4 
7,2 


611 


604 


611 


618 


625 


633 


640 


647 


654 


661 


668 


612 


675 


682 


689 


696 


704 


ill 


718 


725 


732 


739 


613 


746 


753 


760 


767 


774 


781 


789 


796 


so3 


810 


614 


817 


S24 


831 


838 


845 


852 


859 


866 


873 


880 


61S 


888 


895 


902 


909 


916 


923 


930 


937 


944 


951 


616 


958 


965 


972 


Y79 


986 


993 


000 


*007 


*014 


•021 


617 


79 029 


036 


043 


050 


0S7 


064 


071 


078 


0x5 


092 




618 


099 


106 


113 


120 


125 


134 


141 


148 


155 


162 




619 


169 


176 


183 


IJO 


197 


204 


211 


218 


22s 


232 




620 


239 


246 


253 


260 


267 


274 


281 


288 


295 


303 


7 


621 


309 


316 


323 


330 


337 


344 


351 


358 


36S 


372 


1 


0,7 


622 


379 


386 


393 


400 


407 


414 


421 


428 


43s 


442 


2 


1,4 


623 


449 


456 


463 


470 


477 


484 


491 


498 


SOS 


511 


3 


2,1 


624 


518 


525 


532 


539 


546 


553 


560 


567 


574 


581 


4 


2,8 


625 


588 


595 


602 


609 


616 


623 


630 


637 


644 


650 


5 


3,S 


626 


657 


664 


671 


678 


685 


692 


699 


706 


513 


720 


6 


4,2 


627 


727 


734 


741 


748 


754 


761 


768 


775 


782 


789 


7 


4,9 


62H 


796 


803 


810 


817 


824 


831 


x37 


844 


851 


858 


8 


5,6 


62'' 


865 


Hi2 


879 


X86 


893 


900 


Y06 


913 


920 


927 


9 


(>,^ 


630 


934 


941 


948 


955 


962 


969 


97s 


982 


989 


996 




631 


80 003 


010 


017 


024 


030 


037 


044 


051 


058 


065 




632 


012 


079 


0S.5 


092 


099 


106 


113 


120 


127 


134 




633 


140 


147 


154 


161 


168 


175 


182 


188 


195 


202 




634 


209 


216 


223 


229 


236 


243 


250 


257 


264 


271 




635 


277 


284 


291 


298 


305 


312 


318 


325 


332 


33'' 


6 


636 


346 


353 


359 


366 


373 


380 


387 


393 


400 


407 


1 


0,6 


6o7 


414 


421 


428 


434 


441 


448 


455 


462 


468 


47s 


2 


1,2 


63X 


482 


483 


496 


so2 


509 


516 


523 


530 


536 


543 


3 


1,8 


639 


550 


557 


564 


570 


577 


584 


591 


598 


604 


611 


4 

5 


2,4 
3,0 


640 


618 


625 


632 


638 


645 


652 


659 


665 


672 


679 


6 


.3,6 


641 


686 


693 


699 


706 


713 


720 


726 


733 


740 


747 


7 


4,2 


642 


754 


760 


767 


774 


781 


787 


794 


801 


808 


xl4 


8 


4,8 


643 


821 


828 


835 


841 


848 


855 


862 


868 


875 


882 


9 


5,4 


644 


889 


895 


902 


909 


916 


922 


929 


936 


943 


949 




/ 


645 


956 


963 


969 


976 


Y83 


990 


996 


•003 


•010 


*017 




646 


81023 


030 


037 


043 


050 


057 


064 


070 


077 


084 




647 


090 


097 


104 


111 


117 


124 


131 


137 


144 


151 




648 


158 


164 


171 


178 


184 


191 


198 


204 


211 


218 




649 


224 


231 


238 


245 


251 


258 


265 


271 


278 


285 




650 


291 


298 


305 


311 


318 


325 


331 


338 


34s 


351 
9 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


Proportional 
























Pa rT S 



( Continued ) 



19 



SP:8- 1970 



TABLE 1 LOGARITHMS OF NUMBERS —Contd 



NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


PROPORTIONAL 
























Parts 


650 


81 291 


298 


305 


311 


318 


325 


331 


338 


345 


351 




651 


358 


365 


371 


378 


385 


391 


398 


405 


411 


418 




652 


425 


431 


438 


445 


451 


458 


465 


471 


478 


48.5 




653 


491 


498 


505 


511 


518 


525 


531 


538 


544 


551 




654 


558 


564 


571 


578 


584 


591 


598 


604 


611 


617 




655 


624 


631 


637 


644 


651 


657 


664 


671 


677 


684 




656 


690 


697 


704 


710 


717 


723 


730 


737 


743 


750 




657 


757 


763 


770 


776 


783 


790 


796 


803 


809 


816 




658 


823 


829 


836 


842 


849 


856 


862 


869 


875 


882 




659 


889 


895 


902 


908 


915 


921 


928 


935 


941 


948 




660 


954 


961 


968 


974 


981 


987 


994 


000 


•007 


1 014 


7 


661 


82 020 


027 


033 


040 


046 


053 


060 


066 


073 


079 


1 


0,7 


662 


086 


092 


099 


105 


112 


119 


125 


132 


138 


145 


2 


1,+ 


663 


151 


158 


164 


171 


178 


184 


191 


197 


204 


210 


3 


2,1 


664 


217 


223 


230 


236 


243 


249 


256 


263 


269 


276 


4 


2,8 


665 


282 


289 


295 


302 


308 


31.5 


321 


328 


334 


341 


5 


3,5 


666 


347 


354 


360 


367 


373 


380 


387 


393 


400 


406 


6 


4,2 


667 


413 


419 


426 


432 


439 


445 


452 


458 


465 


471 


7 


4,9 


668 


478 


484 


491 


497 


504 


510 


517 


523 


530 


536 


8 


5,6 


669 


543 


549 


556 


562 


569 


575 


582 


588 


595 


601 


9 


6,3 


^70 


607 


614 


620 


627 


633 


640 


646 


653 


659 


666 




671 


672 


679 


685 


692 


698 


705 


711 


718 


724 


730 




672 


737 


743 


750 


756 


763 


769 


776 


782 


789 


795 




en 


802 


808 


814 


821 


827 


834 


840 


847 


853 


860 




674 


866 


872 


879 


885 


892 


898 


905 


911 


918 


924 




675 


930 


937 


943 


950 


956 


963 


969 


975 


982 


988 




676 


995 


•001 


008 


*014 


*020 


027 


»033 


•040 


•046 


•0S2 




677 


83 059 


065 


072 


078 


085 


091 


097 


104 


110 


117 




678 


123 


129 


136 


142 


149 


155 


161 


168 


174 


181 




679 


187 


193 


200 


206 


213 


219 


225 


232 


238 


245 




680 


251 


257 


264 


270 


276 


283 


289 


296 


302 


308 


6 


681 


315 


321 


327 


334 


340 


347 


353 


359 


366 


372 


1 


0,6 


682 


378 


385 


391 


398 


404 


410 


417 


423 


429 


436 


2 


1,2 


683 


442 


448 


455 


461 


467 


474 


480 


487 


493 


499 


3 


1,8 


684 


506 


512 


518 


525 


531 


537 


544 


550 


556 


563 


4 


2,4 


685 


569 


575 


582 


588 


594 


601 


607 


613 


620 


626 


5 


3,0 


686 


632 


639 


645 


651 


658 


664 


670 


677 


683 


689 


6 


3,6 


687 


696 


702 


708 


715 


721 


727 


734 


740 


746 


753 


7 


4,2 


688 


759 


765 


771 


778 


784 


790 


797 


803 


809 


816 


8 


4,8 


689 


822 


828 


835 


841 


847 


853 


860 


866 


872 


879 


9 


5,4 


690 


885 


891 


897 


904 


910 


916 


923 


929 


935 


942 




691 


948 


954 


960 


967 


973 


979 


985 


992 


998 


004 




692 


84 011 


017 


023 


029 


036 


042 


048 


055 


061 


067 




693 


073 


080 


086 


092 


098 


105 


111 


117 


123 


130 




694 


136 


142 


148 


155 


161 


167 


173 


180 


186 


192 




695 


198 


205 


211 


217 


223 


230 


236 


242 


248 


255 




696 


261 


267 


273 


280 


286 


292 


298 


305 


311 


317 




697 


323 


330 


336 


342 


348 


354 


361 


367 


373 


379 




698 


386 


392 


398 


404 


410 


417 


423 


429 


435 


442 




699 


448 


454 


460 


466 


473 


479 


485 


491 


497 


504 




700 


510 


516 


522 


528 


535 


541 


547 


553 


559 


566 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


p ropor ti onal 
Par t s 



( Continued 



20 



SP:8-1970 



TABLE 1 LOGARITHMS OF NUMBERS — Con« 



NO. 





1 


2 


3 


4 


5 


6 


T 


8 


9 


p roportional 
Parts 


700 


84 510 


516 


522 


528 


535 


541 


547 


553 


559 


566 




701 


572 


578 


584 


590 


597 


603 


609 


615 


621 


628 




702 


634 


640 


646 


652 


658 


665 


671 


677 


683 


689 




703 


696 


702 


708 


714 


720 


726 


733 


739 


745 


7,51 




704 


757 


763 


770 


776 


782 


788 


794 


800 


807 


813 




705 


819 


825 


831 


837 


844 


850 


856 


862 


868 


874 




706 


880 


887 


893 


899 


905 


911 


917 


924 


930 


936 




707 


942 


948 


954 


960 


967 


973 


979 


985 


991 


997 


7 


708 


85 003 


009 


016 


022 


028 


034 


040 


046 


052 


058 


1 


0,7 


709 


065 


071 


077 


083 


089 


095 


101 


107 


114 


120 


2 


1,4 


710 


126 


132 


138 


144 


150 


156 


163 


169 


175 


181 


3 

4 


2,1 

2,8 


711 


187 


193 


199 


205 


211 


217 


224 


230 


236 


242 


5 


3/5 


712 


248 


254 


260 


266 


272 


278 


285 


291 


297 


303 


6 


4,2 


713 


309 


31.5 


321 


327 


333 


339 


345 


352 


358 


364 


7 


4,9 


714 


370 


376 


382 


388 


394 


400 


406 


412 


418 


425 


8 


5,6 


715 


431 


437 


443 


449 


455 


461 


467 


473 


479 


485 


9 


6,3 


716 


491 


497 


503 


509 


516 


522 


528 


534 


540 


546 




717 


552 


558 


564 


570 


576 


582 


588 


594 


600 


606 




18 


612 


618 


625 


631 


637 


643 


649 


6.55 


661 


667 




719 


673 


679 


685 


691 


697 


703 


709 


715 


721 


727 




720 


733 


739 


745 


751 


757 


763 


769 


775 


781 


788 




721 


794 


800 


806 


812 


818 


824 


830 


836 


842 


848 


6 


722 


854 


860 


866 


872 


878 


884 


890 


896 


902 


908 


1 


0,6 


723 


914 


920 


926 


932 


938 


944 


950 


956 


962 


968 


2 


1,2 


724 


974 


980 


986 


992 


998 


'004 


•010 


*016 


'022 


*028 


3 


1,S 


725 


86 034 


040 


046 


052 


058 


064 


070 


076 


082 


088 


4 


2,4 


726 


094 


100 


106 


112 


118 


124 


130 


136 


141 


147 


5 


3,0 


727 


153 


159 


165 


171 


177 


183 


189 


195 


201 


207 


6 


3,6 


728 


213 


219 


225 


231 


237 


243 


249 


255 


261 


267 


7 


4,2 


729 


273 


279 


285 


291- 


297 


303 


308 


314 


320 


326 


8 


4,8 


730 


332 


338 


344 


350 


356 


362 


368 


374 


380 


386 


9 


5,4 


731 


392 


398 


404 


410 


415 


421 


427 


433 


439 


445 




732 


451 


457 


463 


469 


475 


481 


487 


493 


499 


504 




733 


510 


516 


522 


528 


534 


540 


546 


5.52 


558 


564 




734 


570 


576 


581 


587 


593 


599 


605 


611 


617 


623 




735 


629 


63.5 


641 


646 


652 


658 


664 


670 


676 


682 


5 


736 


688 


694 


700 


705 


711 


717 


723 


729 


735 


741 


1 


0,5 

1,0 
1,5 


737 


747 


753 


759 


764 


770 


776 


782 


788 


794 


800 


2 


738 


806 


812 


817 


823 


829 


83.5 


841 


847 


853 


859 


3 


739 


864 


870 


876 


882 


888 


894 


900 


906 


911 


917 


4 


2,0 


740 


923 


929 


93.5 


941 


947 


9.53 


958 


964 


970 


976 


5 


2,5 


741 


982 


988 


994 


999 


*005 


♦on 


*017 


»023 


*029 


♦035 


6 


3,0 


742 


87 040 


046 


052 


058 


064 


070 


075 


081 


087 


093 


7 


3,5 


743 


099 


105 


111 


116 


122 


128 


134 


140 


146 


151 


8 


4,0 


744 


157 


163 


169 


175 


181 


186 


192 


198 


204 


210 


9 


4,5 


74J 


216 


221 


227 


233 


239 


245 


251 


256 


262 


268 




74< 


274 


280 


286 


291 


297 


303 


309 


315 


320 


326 




747 


332 


338 


344 


349 


355 


361 


367 


373 


379 


384 




741 


390 


396 


402 


408 


413 


419 


42.5 


431 


437 


442 




744 


448 


454 


460 


466 


471 


477 


483 


489 


495 


500 




75C 


506 


512 


518 


523 


529 


535 


541 


547 


552 


558 




wo 





1 


2 


3 


4 


5 


6 


7 


8 


9 


p roportional 
Parts 



( Continued ) 



21 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS -^Conid 



N< 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Propoktional 

P.^RTS 


75 


87S06 


512 


518 


523 


529 


535 


541 


547 


552 


558 




75 


564 


570 


576 


581 


587 


593 


599 


604 


610 


616 




75 


622 


628 


633 


639 


645 


651 


656 


662 


668 


674 




75 


679 


685 


691 


697 


703 


708 


714 


720 


726 


731 




75- 


737 


743 


749 


754 


760 


766 


772 


777 


783 


789 




75 


79s 


800 


S06 


812 


818 


823 


829 


835 


841 


846 




75' 


852 


858 


864 


869 


875 


881 


887 


892 


898 


904 




75 


910 


915 


921 


927 


933 


938 


944 


950 


955 


961 




75 


967 


973 


978 


984 


990 


996 


•001 


•007 


1 013 


•018 




75 


88 024 


030 


036 


041 


047 


053 


058 


064 


070 


076 




76 


081 


087 


093 


098 


104 


110 


116 


121 


127 


133 


6 


76 


138 


1-K 


150 


156 


161 


167 


173 


17s 


184 


190 


1 


0,6 


76: 


195 


201 


207 


213 


218 


224 


230 


235 


241 


247 


2 


1,2 


76: 


252 


258 


264 


270 


275 


281 


287 


292 


298 


304 


3 


1,8 


76' 


30*) 


315 


321 


326 


332 


33s 


343 


349 


355 


360 


4 


2,4 


76; 


366 


372 


377 


383 


389 


39s 


400 


406 


412 


417 


5 


3,0 


76( 


423 


429 


434 


440 


446 


451 


457 


463 


468 


474 


6 


3,6 


76 


480 


485 


491 


497 


so2 


508 


513 


519 


52.5 


530 


7 


4,2 


761 


536 


542 


547 


553 


559 


564 


570 


576 


581 


587 


8 


4,8 


76 


593 


598 


604 


610 


615 


621 


627 


632 


638 


643 


9 


5,4 


77« 


649 


655 


660 


666 


672 


677 


683 


689 


694 


700 




771 


705 


711 


717 


722 


728 


734 


739 


74s 


750 


756 




77: 


762 


767 


773 


779 


784 


790 


79s 


801 


so7 


812 




77: 


818 


824 


829 


835 


840 


846 


852 


857 


863. 


868 




771 


874 


880 


885 


891 


897 


902 


908 


913 


919 


925 




771 


930 


936 


941 


947 


953 


958 


964 


969 


975 


981 




77( 


986 


992 


997 


1 003 


*009 


•014 


•020 


♦025 


•031 


•037 




77; 


89 042 


048 


053 


059 


064 


070 


076 


081 


087 


092 




m 


098 


104 


109 


115 


120 


126 


131 


137 


143 


148 




77 


154 


159 


165 


170 


176 


182 


187 


193 


198 


204 




78{ 


209 


215 


221 


226 


232 


237 


243 


248 


254 


260 


5 


781 


265 


271 


276 


282 


287 


293 


298 


304 


310 


315 


1 


0,5 


782 


32i 


326 


332 


337 


343 


348 


3.54 


360 


365 


371 


2 


1,0 


783 


376 


382 


387 


393 


39s 


404 


409 


415 


421 


426 


3 


1,5 


784 


432 


437 


443 


448 


454 


459 


465 


470 


476 


481 


4 


2,0 


785 


487 


492 


49s 


504 


509 


515 


520 


526 


531 


537 


5 


2,5 


786 


542 


548 


553 


559 


564 


570 


575 


581 


586 


592 


6 


3,0 


787 


597 


603 


609 


614 


620 


625 


631 


636 


642 


647 


7 


3,5 


788 


653 


658 


664 


669 


675 


680 


686 


691 


697 


702 


8 


4,0 


789 


708 


713 


719 


724 


730 


735 


741 


746 


752 


757 


9 


4,S 


790 


763 


768 


774 


779 


785 


790 


7>6 


801 


807 


812 




791 


818 


823 


829 


834 


840 


845 


851 


856 


862 


867 




792 


873 


878 


883 


889 


894 


900 


905 


911 


916 


922 




793 


927 


933 


93s 


944 


949 


9.55 


960 


966 


971 


977 




794 


982 


988 


993 


998 


*004 


009 


•015 


•020 


•026 


•031 




79s 


90 037 


042 


048 


053 


059 


064 


069 


075 


080 


086 




796 


091 


097 


102 


108 


113 


119 


124 


129 


135 


140 




797 


146 


151 


157 


162 


168 


173 


179 


184 


189 


195 




798 


200 


206 


211 


217 


222 


227 


233 


238 


244 


249 




799 


255 


260 


266 


271 


276 


282 


287 


293 


298 


304 




800 


309 


314 


520 


325 


331 


336 


342 


347 


352 


358 




WO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportio.n'ai, 
























Parts 



{ Continued ) 



22 



SP : 8 - 1970 



TABLE I LOGARITHMS OF NUMBERS — CjwW 



No. 





1 


2 

320 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 


800 


90 309 


314 


325 


331 


336 


342 


347 


352 


358 




801 


363 


369 


37+ 


380 


385 


390 


396 


401 


407 


412 




802 


417 


423 


428 


434 


439 


445 


450 


455 


461 


466 




803 


472 


477 


482 


488 


493 


499 


504 


509 


515 


520 




804 


526 


531 


536 


542 


547 


553 


558 


563 


569 


574 




SOS 


580 


585 


590 


596 


601 


607 


612 


617 


623 


628 




806 


634 


639 


644 


650 


655 


660 


666 


671 


677 


682 




807 


687 


693 


698 


703 


709 


714 


720 


72,5 


730 


736 




808 


741 


747 


752 


757 


763 


768 


773 


779 


78+ 


789 




809 


795 


800 


806 


811 


816 


822 


827 


832 


838 


843 




810 


849 


854 


859 


865 


870 


875 


881 


886 


891 


s97 


6 


811 


902 


907 


913 


918 


Y24 


929 


934 


940 


945 


950 


1 


0,6 


812 


Y56 


961 


966 


972 


Y77 


982 


988 


993 


998 


*00+ 


2 


1,2 


813 


9iooy 


01 + 


020 


025 


030 


036 


041 


046 


052 


057 


3 


1,8 


814 


062 


068 


073 


078 


on 4 


089 


094 


100 


105 


110 


4 


2,4 


81S 


116 


121 


126 


132 


137 


1+2 


148 


153 


158 


164 


5 


3,0 


816 


169 


174 


180 


185 


190 


196 


201 


206 


212 


217 


6 


3,6 


817 


222 


228 


233 


238 


243 


249 


254 


259 


265 


270 


7 


+,2 


818 


275 


281 


286 


291 


297 


302 


307 


312 


318 


323 


8 


4,8 


819 


328 


334 


339 


344 


350 


355 


360 


365 


371 


376 


9 


5,4 


820 


381 


387 


392 


397 


403 


408 


413 


418 


424 


429 




821 


434 


440 


445 


450 


+55 


461 


466 


471 


477 


482 




822 


487 


492 


498 


503 


508 


514 


519 


524 


529 


535 




823 


540 


545 


551 


556 


561 


566 


572 


577 


582 


587 




824 


593 


598 


603 


609 


614 


619 


624 


630 


635 


640 




825 


645 


651 


656 


661 


666 


672 


677 


682 


687 


693 




826 


698 


703 


709 


714 


719 


724 


730 


735 


740 


745 




827 


751 


7.56 


761 


766 


772 


777 


782 


787 


793 


798 




828 


803 


808 


814 


819 


824 


'829 


834 


8+0 


845 


850 




829 


855 


861 


866 


871 


876 


882 


887 


892 


897 


903 




830 


908 


913 


918 


924 


929 


934 


939 


944 


950 


955 


5 


831 


960 


965 


971 


976 


981 


986 


991 


997 


'002 


•007 


1 


0,5 


832 


92 012 


018 


023 


028 


033 


038 


044 


049 


054 


059 


2 


1,0 


833 


065 


070 


075 


080 


083 


091 


096 


101 


106 


111 


3 


1,5 


834 


117 


122 


127 


132 


137 


143 


148 


153 


158 


163 


+ 


2,0 


83S 


169 


174 


179 


184 


189 


195 


200 


205 


210 


215 


S 


2,5 


836 


221 


226 


231 


236 


241 


247 


252 


257 


262 


267 


6 


3,0 


837 


273 


278 


283 


288 


293 


298 


30+ 


309 


314 


319 


7 


3,5 


i38 


324 


330 


335 


340 


345 


3.50 


355 


361 


366 


371 


8 


4,0 


139 


376 


381 


387 


39-2 


397 


402 


407 


412 


+18 


423 


9 


4,5 


840 


428 


433 


438 


443 


449 


454 


459 


464 


469 


474 




841 


480 


485 


490 


495 


500 


505 


511 


516 


521 


526 




842 


531 


536 


542 


547 


552 


557 


562 


567 


572 


578 




843 


583 


588 


593 


598 


603 


609 


614 


619 


624 


629 




844 


634 


639 


645 


650 


655 


660 


665 


670 


675 


681 




845 


686 


691 


696 


701 


706 


711 


716 


722 


727 


732 




846 


737 


742 


747 


752 


758 


763 


768 


773 


778 


783 




847 


788 


793 


799 


804 


809 


814 


819 


824 


829 


834 




848 


840 


845 


850 


855 


860 


865 


870 


875 


881 


886 




849 


891 


896 


901 


906 


911 


916 


921 


927 


932 


937 




850 


942 


947 


952 


957 


962 


967 


973 


978 


983 


988 




No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 

Par t s 



( Continued ) 



23 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS —-Contd 



No 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 


85C 


92 942 


947 


952 


957 


962 


967 


973 


978 


983 


988 




851 


993 


998 


003 


•008 


•013 


•018 


•024 


•029 


034 


•039 




852 


93 044 


a49 


054 


059 


064 


069 


075 


080 


085 


090 




852 


095 


100 


105 


110 


115 


120 


125 


131 


136 


141 




8.54 


146 


151 


156 


161 


166 


171 


176 


181 


186 


192 




85 = 


197 


202 


207 


212 


217 


222 


227 


232 


237 


242 




85( 


247 


252 


258 


263 


268 


273 


278 


283 


288 


293 


6 


85^ 


298 


303 


308 


313 


318 


323 


328 


334 


339 


344 


1 


0,6 


85f 


349 


354 


359 


364 


369 


374 


379 


384 


389 


394 


2 


1,2 


855 


399 


404 


409 


414 


420 


425 


430 


435 


440 


44s 


3 


1,8 


86e 

861 


450 
500 


4S5 
505 


460 
510 


46.5 
515 


470 
520 


475 
526 


480 
531 


485 
536 


430 
541 


495 
546 


4 
5 
6 


2,4 
3,0 
3 6 


862 
863 


551 
601 


556 
608 


561 
611 


566 
616 


571 
621 


576 
626 


581 
631 


586 
636 


591 
641 


596 
646 


7 
g 


4,'2 
48 


864 


651 


656 


661 


666 


671 


676 


682 


687 


692 


697 


9 


5,4 


865 


702 


707 


712 


717 


722 


727 


732 


737 


742 


747 






866 


752 


757 


762 


767 


772 


777 


782 


787 


792 


797 




867 


802 


807 


812 


817 


822 


827 


832 


837 


842 


847 




868 


852 


857 


862 


867 


872 


877 


882 


887 


892 


897 




869 


902 


907 


912 


917 


922 


927 


932 


937 


942 


947 




870 


952 


957 


962 


967 


972 


977 


982 


987 


992 


997 


5 


871 


94 002 


007 


012 


017 


022 


027 


032 


037 


042 


047 


1 


0,5 


872 


052 


057 


062 


067 


072 


077 


082 


086 


091 


096 


2 


1,0 


873 


101 


106 


111 


116 


121 


126 


131 


136 


141 


146 


3 


1,5 


874 


151 


156 


161 


166 


171 


176 


181 


186 


191 


196 


4 


2,0 


875 


201 


206 


211 


216 


221 


226 


231 


236 


240 


245 


5 


2,5 


876 


250 


255 


260 


265 


270 


275 


280 


285 


290 


295 


6 


3,0 


877 


300 


305 


310 


315 


320 


325 


330 


335 


340 


345 


7 


3,5 


878 


349 


354 


359 , 


364 


369 


374 


379 


384 


389 


394 


8 


4,0 


879 


399 


404 


409 


414 


419 


424 


429 


433 


438 


443 


9 


4,5 


880 


448 


453 


458 


463 


468 


473 


478 


483 


488 


493 




881 


49S> 


503 


507 


512 


517 


522 


527 


532 


537 


542 




882 


547 


552 


557 


562 


567 


571 


576 


581 


586 


591 




883 


596 


601 


606 


611 


616 


621 


626 


630 


635 


640 




884 


645 


650 


655 


660 


665 


670 


675 


680 


685 


689 


4 


885 


694 


699 


704 


709 


714 


719 


724 


729 


734 


738 


1 


0,4 


886 


743 


748 


753 


758 


763 


768 


773 


778 


783 


787 


2 


0,8 


887 


792 


797 


802 


807 


812 


817 


822 


827 


832 


836 


3 


1,2 


888 


841 


846 


851 


856 


861 


866 


871 


876 


880 


885 


4 


],6 


889 


890 


895 


900 


905 


910 


915 


919 


924 


929 


934 


5 


2,0 


890 


939 


944 


949 


954 


959 


963 


968 


973 


978 


983 


6 
7 


2,4 
2,8 


891 


988 


993 


998 


»002 


1 007 


012 


*017 


•022 


*027 


*032 


8 


3,2 


892 


95 036 


041 


046 


051 


056 


061 


066 


071 


075 


080 


9 


3,6 


893 


085 


090 


095 


100 


105 


109 


114 


119 


124 


129 






894 


134 


139 


143 


148 


153 


158 


163 


168 


173 


177 




895 


182 


187 


192 


197 


202 


207 


211 


216 


221 


226 




896 


231 


236 


240 


245 


250 


255 


260 


265 


270 


274 




897 


279 


254 


289 


294 


299 


303 


305 


313 


318 


323 




898 


328 


332 


337 


342 


347 


352 


357 


361 


366 


371 




899 


376 


381 


386 


390 


395 


400 


405 


410 


415 


419 




900 


424 


429 


434 


439 


444 


448 


453 


458 


463 


468 




NO. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 



C Continued ) 



24 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS —Contd 



so. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


porportional 
Parts 


900 


95 424 


429 


434 


439 


444 


44s 


453 


458 


463 


468 




901 


472 


477 


482 


487 


492 


497 


501 


506 


511 


516 




902 


521 


525 


530 


535 


540 


545 


550 


554 


559 


564 




903 


569 


574 


578 


583 


588 


593 


59s 


602 


607 


612 




904 


617 


622 


626 


631 


636 


641 


646 


650 


655 


660 




905 


665 


670 


674 


679 


684 


689 


694 


698 


703 


70s 




906 


713 


718 


722 


727 


732 


737 


742 


746 


751 


756 




907 


761 


766 


770 


775 


780 ' 


785 


789 


794 


799 


804 




90s 


so9 


813 


818 


823 


828 


832 


837 


842 


847 


852 




909 


856 


861 


866 


871 


875 


880 


88.5 


890 


895 


899 




910 


904 


909 


914 


918 


923 


928 


933 


938 


942 


947 


5 


911 


952 


957 


961 


966 


971 


976 


980 


985 


990 


995 


1 


0,5 


912 


999 


*004 


*009 


014 


*019 


•023 


•028 


♦033 


•038 


•042 


2 


1,0 


913 


96 047 


0.52 


057 


061 


066 


071 


076 


080 


085 


090 


3 


1,5 


914 


095 


099 


104 


109 


114 


118 


123 


128 


133 


137 


4 


2,0 


915 


142 


147 


152 


156 


161 


166 


171 


175 


180 


185 


S 


2,5 


916 


190 


194 


199 


204 


209 


213 


218 


223 


227 


232 


6 


3,0 


917 


237 


242 


246 


251 


256 


261 


265 


270 


275 


280 


7 


3,5 


918 


284 


289 


294 


298 


303 


308 


313 


317 


322 


327 


8 


4,0 


919 


332 


336 


341 


346 


350 


355 


360 


365 


369 


374 


9 


4,5 


920 


379 


384 


388 


393 


39s 


402 


407 


412 


417 


421 




921 


426 


431 


435 


440 


445 


450 


454 


459 


464 


468 




922 


473 


47s 


483 


487 


492 


497 


501 


506 


511 


515 




923 


520 


525 


530 


534 


539 


544 


54s 


553 


558 


562 




924 


567 


572 


577 


581 


586 


591 


595 


600 


605 


609 




925 


614 


619 


624 


628 


633 


638 


642 


647 


652 


656 




926 


661 


666 


670 


675 


680 


685 


689 


694 


699 


703 




927 


70s 


713 


717 


722 


727 


731 


736 


741 


745 


750 




928 


755 


759 


764 


769 


774 


77s 


783 


788 


792 


797 




929 


so2 


S06 


811 


816 


820 


825 


830 


834 


839 


844 




930 


848 


853 


858 


862 


867 


872 


876 


881 


886 


890 


4 


931 


895 


900 


904 


909 


914 


918 


923 


928 


932 


937 


1 


0,4 


932 


942 


946 


951 


956 


960 


965 


970 


974 


979 


984 


2 


0,8 


933 


988 


993 


997 


•002 


*007 


•Oil 


•016 


•021 


•025 


•030 


3 


1,2 


934 


97 035 


039 


044 


049 


053 


058 


063 


067 


072 


077 


4 


1,6 


935 


OSl 


0S6 


090 


095 


100 


104 


109 


114 


118 


123 


5 


2,0 


936 


128 


132 


137 


142 


146 


151 


155 


160 


165 


169 


6 


2,4 


937 


174 


179 


183 


188 


192 


197 


202 


206 


211 


216 


7 


2,3 


938 


220 


225 


230 


234 


239 


243 


248 


253 


257 


262 


8 


3,2 


939 


267 


271 


276 


280 


285 


290 


294 


299 


304 


308 


9 


3,6 


940 


313 


317 


322 


327 


331 


336 


340 


345 


350 


354 




941 


359 


364 


368 


373 


377 


382 


387 


391 


396 


400 




942 


405 


410 


414 


419 


424 


428 


433 


437 


442 


447 




943 


451 


456 


460 


465 


470 


474 


479 


483 


488 


493 




944 


497 


502 


506 


511 


516 


520 


525 


529 


534 


539 




945 


543 


54s 


5.52 


557 


562 


566 


571 


575 


580 


58.5 




946 


589 


594 


59s 


603 


607 


612 


617 


621 


626 


630 




947 


635 


640 


644 


649 


653 


658 


663 


667 


672 


676 




94s 


681 


685 


690 


695 


699 


704 


708 


713 


717 


722 




945 


727 


731 


736 


740 


745 


749 


754 


759 


763 


768 




95( 


772 


777 


782 


786 


791 


795 


800 


804 


809 


813 




wo 





1 


2 


3 


4 


5 


6 


7 


8 


9 


Proportional 
Parts 



( Continued 



25 



SP : 8 - 1970 



TABLE 1 LOGARITHMS OF NUMBERS — ConW 



No. 





1 


2 


3 


4 


5 


6 


7 


8 


1 

9 


PropoRtionai, 

Par t s 




950 


97 772 


777 


782 


786 


791 


795 


800 


804 


809 


813 






951 


818 


823 


827 


832 


836 


841 


845 


850 


855 


859 






952 


864 


868 


873 


877 


882 


886 


891 


896 


900 


905 






953 


909 


914 


918 


923 


928 


932 


937 


941 


946 


950 






954 


955 


959 


964 


968 


973 


978 


982 


987 


991 


996 






955 


98 000 


005 


009 


014 


019 


023 


028 


032 


037 


041 






956 


046 


050 


055 


059 


064 


068 


073 


078 


082 


087 






957 


091 


0% 


100 


105 


109 


114 


118 


123 


127 


132 






958 


137 


141 


146 


150 


155 


159 


164 


168 


173 


177 






959 


182 


186 


191 


195 


200 


204 


209 


214 


218 


223 






960 


227 


232 


236 


241 


245 


250 


254 


259 


263 


268 


5 




961 


272 


277 


281 


286 


290 


295 


299 


304 


308 


313 


1 


0,5 




962 


318 


322 


327 


331 


336 


340 


345 


349 


354 


358 


2 


1,0 




963 


363 


367 


372 


376 


.381 


385 


390 


394 


399 


403 


3 


1,5 




964 


408 


412 


417 


421 


426 


430 


435 


439 


444 


448 


4 


2,0 




96.5 


453 


4.57 


462 


466 


471 


475 


480 


484 


489 


493- 


5 


2,5 




966 


498 


502 


507 


511 


516 


520 


525 


529 


534 


538 


6 


3,0 




967 


543 


547 


552 


555 


561 


565 


570 


574 


579 


583 


7 


3,5 




968 


588 


592 


597 


601 


605 


610 


614 


619 


623 


628 


8 


4,0 




969 


632 


637 


641 


646 


650 


655 


659 


66+ 


668 


673 


9 


4,5 




970 


677 


682 


686 


691 


695 


700 


704 


709 


713 


717 






971 


722 


726 


731 


735 


740 


744 


749 


753 


758 


762 






972 


767 


771 


776 


780 


784 


789 


793 


798 


802 


807 






973 


811 


816 


820 


825 


829 


834 


838 


843 


847 


851 






974 


856 


860 


865 


869 


874 


878 


883 


887 


892 


896 






975 


900 


905 


909 


914 


918 


923 


927 


932 


936 


941 






976 


945 


949 


9.54 


958 


963 


967 


972 


976 


981 


985 






977 


989 


994 


998 


*003 


♦007 


"012 


*016 


*021 


*025 


•029 






978 


99 034 


038 


043 


047 


052 


056 


061 


065 


069 


074 






979 


078 


083 


087 


092 


096 


100 


105 


109 


114 


118 






980 


123 


127 


131 


136 


140 


145 


149 


154 


158 


162 


4 




981 


167 


171 


176 


1^0 


185 


189 


193 


198 


202 


207 




0,4 




982 


211 


216 


220 


224 


229 


233 


238 


242 


247 


2.51 




0,8 




983 


255 


260 


264 


269 


273 


277 


282 


286 


291 


295 




1,2 




984 


300 


304 


308 


313 


317 


322 


326 


330 


335 


339 




1,6 




985 


344 


348 


352 


357 


361 


366 


370 


374 


379 


383 




2'0 




986 


388 


392 


396 


401 


405 


410 


414 


419 


423 


'427 




2,4 




987 


432 


436 


441 


445 


449 


454 


458 


463 


467 


471 




2,8 




988 


476 


480 


484 


489 


493 


498 


502 


506 


511 


515 


8 


3,2 




989 


520 


524 


528 


533 


537 


542 


546 


550 


555 


559 


9 


3,6 




990 


564 


568 


572 


577 


581 


585 


590 


594 


599 


603 






991 


607 


612 


616 


621 


625 


629 


634 


638 


642 


647 






992 


651 


656 


660 


664 


669 


673 


677 


682 


686 


691 






993 


695 


699 


704 


708 


712 


717 


721 


726 


530 


734 






994 


739 


743 


747 


752 


756 


760 


765 


769 


774 


778 






995 


782 


787 


791 


795 


800 


804 


808 


813 


817 


822 






996 


826 


830 


835 


839 


843 


848 


852 


856 


861 


865 






997 


870 


874 


878 


883 


887 


891 


896 


900 


904 


909 






998 


913 


917 


922 


926 


930 


935 


939 


944 


948 


952 






999 


957 


961 


965 


970 


974 


978 


983 


987 


991 


996 






1 000 


00 000 


004 


009 


013 


017 


022 


026 


030 


035 


039 






No. 





1 


2 


3 


4 


5 


6 


7 


8 


9 


PropOrtiOnal 
Par t s 


'_ 



26 



SP:8- 1970 



TABLE 2 ANTI-LOGARITHMS 








1 


2 


3 


4 


5 


6 


7 


•00 


10 000 


10 023 


10 046 


10 069' 


1009:1 


10116 


10139 


10 16:2 


•01 


10 233 


10 257 


10 280 


10 304 


10 328 


10 3511 


10 37S 


10 399 


•02 


10 471 


10 495 


10 520 


10 544 


10 568 


10 59:1 


10 61;' 


10 6411 


•03 


10 715 


10 740 


10 765 


10 789 


10 814 


10 8351 


10 864 


10 889 


•04 


10 965 


10 990 


11015 


11041 


11066* 


110921 


11 ll;r 


1114:1 


•05 


11220 


11 246 


11272 


11298 


11324 


11 35cl 


11 37ti 


1140:1 


•06 


11482 


11 508 


11535 


11 561 


11588 


11614 


11641 


11668 


•07 


11749 


11776 


11 803 


11830 


11858 


11885 


11912' 


11940 


•08 


12 023 


12 0SC 


12 078 


12 106 


12 134 


12 162 


12 190 


12 218 


•05 


12 303 


12 331 


12 3.59 


12 388 


12 417 


12 445 


12 474 


12 5031 


•10 


12 589 


12 618 


12 647 


12 677 


12 706 


12 735 


12 764 


12 794- 


•11 


12 882 


12 912 


12 942 


12 972 


13 002 


13 032 


13 062 


13 0921 


•12 


13 183 


13 213 


13 243 


13 274 


13 305 


13 335 


13 366, 


13 39T 


•13 


13 490 


13 521 


13 552 


13 583 


13 614 


13 646 


13 677 


13 7091 


•14 


13 804 


13 836 


13 868 


13 900 


13 932 


13 964 


13 996 


14 0281 


•15 


14 125 


14 158 


14 191 


14 223 


14 256 


114 289 


14 322 


14 355 


•16 


14 454 


14 488 


14 521 


14 555 


:4 588 


14 622 


14 655 


14 6891 


•17 


14 791 


14 825 


14 859 


14 894 


14 928 


114 962 


14 997 


15 031 


•18 


15 136 


15 171 


15 205 


15 241 


1.5 276 


IS 311 


15 346 


15 3821 


•19 


15 488 


15 524 


15 560 


15 596 


5 631 


lis 668 


15 704 


15 74cl 


•20 


15 849 


15 885 


15 922 


15 959 


15 996 


16 032 


16 069 


16 106i 


•21 


16 218 


16 255 


16 293 


16 331 


16 368 


16 406 


16444 


16 482: 


•22 


16 596 


16 634 


16 672 


16 711 


16 749 


16 788 


16 827 


16 866i 


•23 


16 982 


17 022 


17 061 


17 100 


17140 


117 179 


17 219 


17 2581 


•24 


17 378 


17 418 


17 458 


17 498 


17 539 


117 579 


17 620t 


:17 660 


•25 


17 783 


17 824 


17 865 


17 906 


.7 947 


17 989 


18 030: 


18 072. 


■26 


18 197 


18 239 


18 281 


18 323 


.8 365 


18 408 


18 450 


18 493 


•27 


18 621 


18 664 


18 707 


18 750 


18 793 


18 836 


18 880 


18 923 


•28 


19 05.5 


19 099 


19 143 


19 187 


19 231 


19 275 


19 320 


19 364 


■29 


19 498 


19 543 


19 588 


19 634 


.9 679 


119 724 


19 770 


19 815 


•30 


19 953 


19 999 


20 045 


20 091 


!0137 


20 184 


20 230 


20 277' 


•31 


20 417 


20 464 


20 512 


20 559 


10 606 


20 6.54 


J0 701 


20 749' 


•32 


20 893 


20 941 


20 989 


21038 


11086 


21135 


21184 


21232: 


•33 


21380 


21429 


21478 


21 528 


•1577 


21627 


21677 


21 727 


•34 


21878 


21928 


21979 


22 029 


12 080 


22131 


>2 182 


22 233 


•35 


22 387 


22 439 


22 491 


22 542 


12 594 


22 646 


J2 699 


22 751 


•36 


22 909 


22 961 


23 014 


23 067 


13121 


23174 


23 227 


23 281 


•37 


23 442 


23 496 


23 550 


23 605 


13 659 


23 714 


23 768 


23 823 


•38 


23 988 


24 044 


24 099 


24 155 


14 210 


24 266 


24 322 


24 378 


•39 


24 547 


24 604 


24 660 


24 717 


14 774 


24 831 


14 889 


24 946 


•40 


25 119 


25 177 


25 236 


25 293 


15 351 


215 410 


15 468 


25 527 


•41 


25 704 


25 763 


25 823 


J5 882 


15 942 


26 002 


16 062 


26122 


■42 


26 303 


26 363 


26 424 


26 485 


;6 546 


216 607 


16 669 


26 730 


•43 


26 915 


26 977 


27 040 


17 102 


7164 


217 227 


17 290 


27 353 


•44 


27 542 


27 606 


27 669 


17 733 


;7 797 


217 861 


17 925 


27 990 


•45 


28184 


28 249 


28 314 


18 379 


18 445 


218 510 


18 576 


28 642 


•46 


28 840 


28 907 


28 973 


19 040 


;9 107 


219 174 


19 242 


29 309 


•47 


29 512 


29 580 


29 648 


19 717 


,9 785 


2198.54 


19 923 


29 992 


■48 


30 200 


30 269 


30 339 


i0 409 


479 


30 549 


10 620 


10 690 


•49 


30 903 


30 974 


31046 


11117 


1 189 


31 261 


11333 


31405 



10 1815 
10 42:3 
10 666 

10 914 
11169 

11429 
11695 

11 96:7 

12 246 

12 531 

12 82:1 
13122 

13 428 

13 74c) 

14 060 

14 388 

14 7231 

15 066 

15 41;' 

15 776 

16 144- 
16 520 

16 904- 

17 2981 

17 701 

18113 

18 535 

18 967 

19 4091 

19 861 

20 324- 

20 797' 
21281 

21 777 

22 284- 

22 803 

23 336 

23 878 

24 434 

25 003 

25 586 

26 182 

26 792 

27 416 

28 054 

28 708 

29 376 
i0 061 
i0 761 
il477 



10 209 
10 447 
10 691 

10 940 

11 194 

11455 

11 722 
11995 

12 274 
12 560 

12 853 

13 152 
13 459 

13 772 

14 093 

14 421 

14 757 

15 101 
15 453 

15 812 

16 181 
16 558 

16 943 

17 338 

17 742 

18 155 

18 578 

19 011 
19 454 

19 907 

20 370 

20 845 
21330 

21 827 

22 336 

22 856 

23 388 

23 933 

24 491 

25 061 

25 645 

26 242 

26 853 

27 479 
28119 

28 774 

29 444 
50130 

30 832 
31550 



Mean Differences 



2 5 7 

2 5 7 

2 5 7 

3 5 8 
3 5 8 

3 5 8 

3 5 8 

3 5 8 

3 6 8 

3 6 9 

3 6 9 

3 6 9 

3 6 9 

3 6 9 

3 6 10 

3 7 10 

3 7 10 

3 7 10 

4 7 11 
4 7 11 

4 7 11 

4 8 11 

4 8 12 

4 8 12 

4 8 12 

4 8 12 

4 8 13 

4 9 13 

4 9 13 

5 9 14 

s 9 14 

5 10 14 

5 10 15 

5 10 15 

5 10 15 

5 10 16 

5 11 16 

5 11 16 

6 11 17 
6 11 17 

6 12 18 

6 12 18 

6 12 18 

6 13 19 

6 13 19 

7 13 20 
7 13 20 

7 14 21 

7 14 21 

7 14 22 



9 12 14 

10 12 14 

10 12 IS 

10 13 15 

10 13 15 

11 13 16 

11 13 16 

11 14 16 

11 14 17 

11 14 17 

12 15 18 
12 15 18 

12 15 18 

13 16 19 
13 16 19 

13 16 20 

13 17 20 

14 17 21 
14 18 21 

14 18 22 

15 18 22 
15 19 23 

15 19 23 

16 20 24 

16 20 24 

17 21 25 
17 21 25 

17 22 26 

18 22 26 

18 23 27 

19 23 28 
19 24 29 

19 24 29 

20 25 30 

20 25 31 

21 26 31 

21 27 32 

22 27 33 

22 28 34 

23 29 34 

23 29 35 

24 30 36 

24 3i 37 

25 31 38 

26 32 39 

16 33 39 

27 34 40 

28 34 41 

28 35 42 

29 36 43 



7 8 9 

16 19 21 

17 19 21 

17 20 22 

18 20 23 
18 20 23 

18 21 24 

19 21 24 

19 22 25 

20 22 2.5 

20 23 26 

21 24 26 
21 24 27 

21 25 28 

22 25 28 

22 26 29 

23 26 30 

24 27 30 

24 28 31 

25 28 32 

25 29 32 

26 30 33 

26 30 34 

27 31 35 

28 32 36 

28 32 36 

29 33 37 

30 34 38 

30 35 39 

31 35 40 

32 36 41 

32 37 42 

33 38 43 

34 39 44 

35 40 45 

36 41 46 

37 42 47 

37 43 48 

38 44 49 

39 45 so 

40 46 51 

41 47 53 

42 48 54 

43 49 55 

44 50 56 

45 51 58 

46 52 59 

47 54 60 

48 5.5 62 

49 56 63 

50 58 65 



( Continued 



27 



SP:8- 1970 



TABLE 2 ANTi -LOGARITHMS — CowW 































Mean Di 


FFERENCES 









1 


2 


3 


4 


5 


g 


7 
32 137' 


8 


9 






















31 696 






31916 


31989 


32 063 


1 


2 


3 


4 


5 


6 


7 


8 9 


•50 


31623 


31769 


31842 


32 211 


32 285 


7 


1.5 


22 


29 


37 


44 


52 


59 66 


•51 


32 359 


32 434 


32 509 


32 584 


32 659 


32 735 


32 809 


32 885 


32 961 


33 037 


8 


15 


23 


30 


38 


45 


53 


60 68 


•52 


33 113 


33 189 


33 266 


33 343 


33 420 


33.497 


33 574 


33 651 


33.729 


33 806 


8 


15 


23 


31 


39 


46 


54 


62 69 


•S3 


33 884 


33 963 


34 041 


34 119 


34 198 


34 277 


34 356 


34 435 


34 514 


34 594 


8 


16 


24 


32 


40 


47 


55 


63 71 


•54 


34 674 


34 754 


34 834 


34 914 


34 995 


35 075 


35 15& 


35 237 


35 318 


35400 


8 


16 


24 


32 


40 


48 


56 


65 73 


•55 


35.481 


35 563 


35 645 


35 727 


3.5 810 


35 892 


35 975 


36 058 


36 141 


36 224 


8 


16 


25 


33 


41 


50 


58 


66 74 


59 


36 308 


36 392 


36 475 


36 559 


36 644 


36 728 


36 813 


36 898 


36 983 


37 068 


8 


17 


25 


34 


42 


51 


59 


68 76 


•57 


37 154 


37 239' 


37 325 


37 411 


37 497 


37 584 


37 670» 


37 757 


37 844 


37 931 


9 


17 


26 


3.5 


43 


52 


61 


69 78 


•58 


38 019 


38107 


38 194 


38 282 


38 371 


38 459 


38 548 


38 637 


38 726 


38 815 


9 


18 


2.7 


35 


44 


53 


62 


71 80 


•59 


38 905 


38 994 


39 084 


39 174 


39 264 


39 355 


39 446 


39 537 


39 628 


39 719 


9 


1% 


27 


36 


45 


54 


63 


72 82 


•60 


39 811 


39 902 


39 994 


40 087 


40 179 


40 272 


40 365 


40 458 


40 551 


40 644 


9 


19 


28 


37 


46 


56 


65 


74 83 


•61 


40 738 


40 832 


40 926 


41 020 


41115 


41 210 


41 305 


41400» 


41495 


41 591 


9 


19 


28 


38 


47 


57 


66 


76 85 


•62 


41 687 


41783 


41879 


41976 


42 073 


42 170 


42 267 


42 364 


42 462 


42 560 


10 


19 


29 


39 


49 • 


58 


68 


78 87 


•63 


42 6.58 


42 75& 


42 855 


42 954 


43 053 


43 1.52 


43 251 


43 351 


43 451 


43 551 


10 


20 


33 


40 


50 


60 


70 


80. 89 


•64 


43 652 


43 752 


43 853 


43 954 


44 055 


44 157 


44 259 


44 361 


44 463 


44 566 


10 


20 


30 


41 


51 


61 


71 


81 91 


•65 


44 668 


44 771 


44 875 


44 978 


45 082 


45 186 


45 2901 


45 394 


45 499 


45 604 


10 


21 


31 


42 


52 


62 


73 


83 94 


■66 


45 709 


45 814 


4.5 920 


46 026 


46 132 


46 238 


46 345 


46 4.52 


46 559 


46 666 


11 


21 


52 


43 


53 


64 


75 


85 96 


•67 


46 774 


46 881 


46 989 


47 098 


47 206 


47 315 


47 424 


47 534 


47 643 


47 753 


11 


22 


33 


44 


54 


65 


76 


87 98 


•68 


47 863 


47 973 


48 084 


48 195 


48 306 


4s 417 


48 529' 


48 641 


48 753 


48 865 


11 


22 


33 


45 


56 


66 


7% 


89 100 


-69 


48 97% 


49 091 


49 204 


49 317 


49 431 


49 545 


49 659' 


49 774 


49 888 


50 003 


11 


23 


34 


46 


57 


68 


80 


91 103 


-70 


50 119 


50 234 


50 350 


50 466 


50 582 


50 699 


50 816 


50 933 


51050 


51168 


12 


23 


35 


47 


58 


70 


82 


93 105 


•71 


51286 


51404 


51 523 


51642 


51761 


51880 


52 000* 


52 119' 


52 240 


52 360 


12 


24 


36 


48 


60 


72 


84 


96 108 


•72 


52 481 


52 602 


52 723 


52 845 


52 966 


53 088 


53 211 


53 333 


53 456 


53 580 


12 


24 


37 


49 


61 


73 


85 


98 110 


73 


53 703 


53 827 


53 9.51 


54 075 


54 200 


54 325 


54 450* 


54 57& 


54 702 


54 828 


13 


25 


38 


50 


63 


75 


88 


100 113 


•74 


54 954 


55 081 


55 208 


55 336 


55 463 


55 590 


55 719 


55 847 


55 976 


56 105 


13 


26 


38 


51 


64 


77 


90 


102 115 


•75 


56 234 


56 364 


56 494 


56 624 


56 754 


56 885 


57 016 


57 148 


57 280 


57 412 


13 


26 


39 


52 


66 


79 


92 105 11% 


•76 


57 544 


57 677 


57 810 


57 943 


5% 076 


58 210 


58 345 


58 479' 


58 614 


58 749 


13 


27 


40 


54 


67 


80 


94 


107 121 


•77 


58 884 


59 0201 


59 156 


59 293 


59 429 


59 566 


59 704 


59 841 


59 979 


60 117 


14 


27 


41 


55 


69 


82 


96 


110 123 


•78 


60 256 


60 395 


60 534 


60 674 


60 814 


60 954 


61094 


61235 


61376 


61518 


14 


28 


42 


56 


70 


84 


98 


112 126 


•79 


61659 


61802 


61 944 


62 087 


62 230 


62 373 


62 517 


62 661 


62 806 


62 951 


14 


29 


43 


58 


72 


86 


101 


115 130 


80 


63 096 


63 241 


63 387 


63 533 


63 680 


63 826 


63 973 


64 121 


64 269 


64 417 


15 


29 


44 


59 


74 


88 


103 


11% 132 


•81 


64 565 


64 714 


64 863 


65 013 


65 163 


65 313 


6.5 464 


65 615 


65 766 


65 917 


15 


30 


45 


60 


75 


90 


105 


120 135 


•82 


66 069 


66 222 


66 374 


66 527 


66 681 


66 834 


66 988 


67 143 


67 298 


67 453 


15 


31 


46 


62 


77 


92 


108 


123 139 


•83 


67 608 


67 764 


67 920 


68 077 


68 234 


68 391 


68 549 


6% 707 


68 865 


69 024 


16 


32 


47 


63 


79 


95 


110 


126 142 


•84 


69 183 


69 343 


69 503 


69 663 


69 823 


69 984 


70 146 


70 307 


70 469 


70 632 


16 


32 


48 


64 


81 


97 


113 


129 145 


•85 


70 79.5 


70 958 


71 121 


71285 


71450 


71614 


71779 


71 945 


72 111 


72 277 


17 


33 


50 


66 


83 


99 


116 


132 149 


•86 


72 444 


72 611 


72 77% 


72 946 


73 114 


73 282 


73 451 


73 621 


73 790 


73 961 


17 


34 


51 


6% 


85 


101 


11% 


135 152 


•87 


74 131 


74 302 


74 473 


74 645 


74 817 


74 989 


75 162 


75 336 


75 509 


75 683 


17 


35 


52 


69 


87 


104 


121 


138 156 


•88 


75 858 


76 033 


76 208 


76 384 


76 560 


76 736 


76 913 


77 090 


77 268 


77 446 


18 


35 


53 


71 


89 


107 


125 


142 159 


•89 


77 625 


77 804 


77 983 


78 163 


78 343 


78 524 


78 705 


78 886 


79 068 


79 250 


1% 


36 


54 


72 


91 


109 


127 


145 163 


•90 


79 433 


79 616 


79 799 


79 983 


80168 


80 353 


80 538 


80 724 


80 910 


81096 


19 


37 


56 


74 


93 


111 


130 


148 167 


•91 


81283 


81470 


81658 


81 846 


82 035 


82 224 


82 414 


82 604 


82 794 


82 985 


19 


38 


57 


76 


95 


113 


132 


151 170 


•92 


83 176 


83 368 


83 560 


83 753 


83 946 


84 140 


84 333 


84 528 


84 723 


84 918 


19 


39 


58 


78 


97 


116 


136 


155 175 


■93 


85 114 


85 310 


85 507 


85 704 


85 901 


86 099 


86 298 


86 497 


86 696 


86 896 


20 


40 


60 


79 


99 


119 


139 


158 178 


•94 


87 096 


87 297 


87 498 


87 700 


87 902 


88 105 


88 308 


88 512 


88 716 


88 920 


20 


41 


61 


81 


102 


122 


42 


162 183 


■95 


89 125 


89 331 


89 536 


89 743 


89 950 


90 157 


90 365 


90 573 


90 782 


90 991 


21 


42 


62 


83 


104 


125 


146 


1C6 187 


■96 


91 201 


91411 


91622 


91833 


92 045 


92 257 


92 470 


92 683 


92 897 


93 111 


21 


42 


64 


85 


106 


i'^7 


149 


170 191 


■97 


93 325 


93 541 


93 756 


93 972 


14 189 


94 406 


94 624 


94 842 


95 060 


95 280 


22 


43 


65 


87 


109 


130 


152 


174 195 


■98 


95 499 


95 719 


9.5 940 


96 161 


)6 383 


96 605 


96 828 


97 051 


97 275 


97 499 


22 


44 


67 


89 


111 


133 


I3J 


17% 200 


•99 


97 724 


97 949 


98 175 


98 401 


)8 628 


)8 855 


99 083. 


99 312 


99 541 


99 770 


23 


46 


6% 


91 


114 


137 


160 


182 205 



28 



SP:8-1970 



TABLE 3A COMMON LOGARITHMS 



'OMMON 


Na T URAL 


Common 


Natural 


Common 


Na t u ra l 


Log 


LOG 


Log 


LOG 


log 


LOG 


•01 


•023 025 85 


34 


•782 b"*! 93 


■67 


1.542 732 01 


•02 


■(M 051 70 


•35 


•80S 904 78 


•68 


1'565 757 86 


•03 


•069 077 5.5 


•36 


•828 930 63 


•69 


1^588 783 71 


•04 


•092 103 40 


•37 


•851 956 48 


•70 


1611 809 57 


•05 


•115 129 25 


•38 


•874 982 34 


71 


1.634 835 42 


06 


•138 155 11 


•39 


•898 008 19 


•72 


1657 86127 


•07 


•161 180 96 


•40 


•921 034 04 


•73 


1^680 887 12 


•08 


•184 206 81 


•41 


•944 059 89 


•74 


1703 912 97 


•09 


•207 532 66 


•42 


•967 085 74 


•75 


1-726 938 82 


■10 


■230 258 51 


•43 


•990 111 59 


•76 


1-749 964 67 


•11 


•253 284 36 


44 


1.013 137 44 


•77 


1772 930 52 


•12 


•276 310 21 


•45 


1.036 163 29 


•78 


1.796 016 37 


13 


■299 336 06 


•46 


1059 189 14 


•79 


1819 042 22 


14 


■322 361 91 


•47 


1^082 214 99 


•80 


1-842 068 07 


15 


■345 387 76 


-48 


1105 240 84 


•81 


1.865 093 93 


•16 


•368 413 61 


•49 


1128 266 70 


-82 


1'888 119 78 


•17 


-391439 47 


•50 


1151292 55 


•83 


1.911 145 63 


18 


•414 465 32 


•51 


1-174 318 40 


•84 


L934 171 48 


•19 


•437 491 17 


•52 


1-197 344 25 


•85 


1957 197 33 


•20 


•460 517 02 


•53 


1220 370 10 


•86 


1.980 223 18 


•21 


•483 542 87 


•54 


1.243 395 95 


-87 


2.003 249 03 


•22 


-506 Se's 72 


•55 


1-266 42180 


•88 


2.026 274 88 


•23 


•529 594 57 


•56 


L2B9 447 65 


•89 


2049 300 73 


•24 


■552 620 42 


•57 


1312 473 50 


•90 


2.072 326 58 


•25 


■575 646 27 


•58 


1-335 599 35 


•91 


2095 352 43 


•26 


■598 672 12 


•59 


1358 525 20 


•92 


2.118 378 29 


■27 


■621 697 98 


•60 


1^381 551 06 


•93 


2141 404 14 


•28 


•644 723 83 


•61 


1.404 576 91 


•94 


2.164 429 99 


•29 


•567 749 68 


•62 


1.427 602 76 


•95 


2'i87 4.55 84 


•30 


•690 77.5 53 


•63 


1450 628 61 


•96 


2.210 481 69 


•31 


•713 801 38 


•54 


1.473 654 46 


■97 


2-233 507 55 


•32 


•736 827 23 


-65 


1.496 680 32 


■98 


2.256 533 40 


-33 


•759 853 08 


•66 


1519 706 17 


•99 
100 


2.279 559 25 
2-302 585 09 



29 



SP : 8 - 1970 



TABLE 3B NATURAL LOGARITHMS 



(to the base e that is loge x, where X is the number) 



10 

11 

1-2 
13 
14 

1.5 
1.6 
1.7 
18 
19 

20 

2.1 
2.2 
2-3 
2-4 

2-5 
2.& 
2-7 
2-8 
2-9 

30 

3.11 
3-2 
3-3 
3-4 

3-5 
36 
3-7 
3-8 
3-9 

40 
41 
4-2 
43 
44 

4-5 
4-6 
4-7 
4-8 
4-9 

50 

5.11 
5-2 

5.3! 
5.4 



0000 
0-095 3 
0-182 3 
0-262 4 
(3.336 5 

0-405 5 
0-470 

C.530 6 
0.587 8 
0-641 9 

0.693 1 
0.741 9 
0.788 5 
0-832 9 

0.875 51 

0.916 3 
0-955 5 
0-993 3 
1029 6 
1-064 7 

1098 6 

1-131 4r 

1-1632 
1.193 9 
1-223 8 

1-252 8 
1-280 9 
1-308 3 
1-335 
1.361 

1-386 3 
1-4110 
1-435 1 
1-458 6 
1-4816 

1.5041 
1-5261 
1-547 6 
1-568 6 
1-589? 

l-609# 
1-629 2 

1-648 5 
1.667 7 
1-686 4 



009 9 

11044 
11906 
1700 
343 6 

H2 1 

476 : 
536 5 
593 3 
1647 1 

1698 1 
7467 
793 
837 2 
8796 

920 3 
9594 
996 9 
033 : 
068 2 

1019 
1346 
1663 
' 196 9 
226 7 

255 
283 7 
3110 
337 6 
363 5 

388 J 
4134 
437 
460 i 
483 i 

506 3 

5282 

549 

5707] 

591 

6114 
6312 
650 ( 
6696 

688 2 



019 8 
1133 
1989 
277 6 
350 7 

4 187 
4824 
542 3 
598 8 
652 3 

703 1 

7514 

797 5 

841 6 

883 8 

924 3 

9632 

1-000 6 

: 0367 
0716 

105 3 

1378 

1694- 

1-200 O 

229 6 

258 5 

286 51 

3137' 

340 3 

3661 

391 3 
41551 

439 8 
463 3 
486 1 

508 5 
53041- 
5518 

5728 
593 3 

6134 

633 2 

652 5 

671 5 

690 1 



029 6 

122 2 
207 
285 2 
357 7 

425 3 
488 6 
S48 1 
604 3 
657 5 

:708 
1756 1 
f302 
i345 9 
i387 9 

928 2; 

'967 
(D04 31 
O40 3 
075 cl 

108 6 
1410 
172 5 
203 
232 6 

2613 
289 2 
316 4 
342 9 
368 6 

393 8 
418 3 
442 2 
465 6 



510:7 
532 6 
553 9 
574 8 
595 3 

615 41- 
6351 
(654 4 
673 # 
6919 



039 2 

1310 
2151 
292 7 

2164 6 

4318 
1194 7 
553 9 
609 8 
662 7 

■;712 9 
■:760 8 
i306 5 
!350 2. 
1592 

'932 2; 
'970 81 
008 O 
043 8 

078 4 

1119 
144 2 
175 6 
206 
235:i 

2641 
292 
3191 
345 5 
3712 

396 2 
420 7 
444 6 
467 9 
490 7 

512 9 
534;? 
556 
576 9 
597 4 

617 4 
637 1 
656 3 
675 i! 
693 8 



048 8 
139 8 
2231 
3001 
3716 

438 3 
500 8 
559 6 
(515 2 
667 8 

';717 8 
■765 5 
!310 9 
854 4 
1896 1 

'9361 
'974 6 
0116 
04721 
0818 

115 1 
147 4 
178 7 
209 
238 4 

266 9 
294 7 
3218 
3481 
373 7 

398 7 
4231 
446 9 
470 2 
492 9 

5151 
536 9 

5581 
579 
599 4 

619 4 
63YO 
658 2 
6771 
695 6 



058 3 
148 4 
231 1 
307 5 
378 4 

444 7 

506 8 
565 3 
(520 6i 
(572 9' 

'722 7 
'7701 
1515 4- 
858 7 
'900 2; 

'940 c( 
978 31 
015 2 
050 8 
085 2 

118 4 
150 6 
1817 

2119 
2413 

269 8 
297 5 
324 4 
3507 
376 2 

4012 
425 5 
449 3 
472 5 
49.51 

517 3 
539 
560 2 
5810 
6014 

6214 
640 9 
6601 
679 
697 4 



067 7 

11570 
;i39 
314 8 
385 3 

4511 

512 8 
5710 
625 9 
1678 

■727 5 
774 7 
1819 81 
1862 9 
904 2! 

943 9 
982 1 
018 8 
0541! 
088 6 

1217 
153;' 
184 8 

214 9 
244 2 

272 6 
300 2 
3271 
353 3 
378 8 

403 6 
427 9 
4.516 
474 8 
497 4 

519 5 
5412 
562 3 
5 8 31 
603 4 

623 3 
642 9 
662 
680 8 
699 3 



077 

M.5 5 
246 9 
322 1 
392 

457 4 

518 8 
576 6 
6313 
683 1 

'732 4 
779 3 
824 2 
867 1 
908 3 

947 8 
■985 8 
022 5 
057 8 
091 9 

1249 
156 9 

187 8 
217 9 
247 

"275 4 
302 9 
329 7 
355 8 
3813 

406 1 
430 3 
454 
477 c 
499 6 

521 7 
543 3 
564 4 
5851 
605 4 

625 3 
644 8 
663 9 
682 7 
701 1 



' 1 






M E An D I fferences 




-— — — 








.,>w 








I 


2 


3 


4 


5 


6 


7 


8 9 


)86 2 


) 


19 


29 


38 


48 


57 


67 


76 86 


174 


) 


17 


26 


35 


44 


52 


61 


70 78 


254 6 


3 


16 


24 


32 


40 


48 


56 


64 72 


329 3 


7 


15 


22 


30 


37 


44 


52 


59 67 


398 8 


7 


14 


21 


218 


35 


41 


4-8 


55 62 


463 7 


6 


13 


19 


26 


32 


39 


4-5 


52 58 


524 7 


6 


12 


18 


24 


30 


36 


4-2 


48 55 


582 2 


6 


11 


17 


2r4 


29 


34 


#0 


46 51 


636 6 


5 


11 


16 


22 


27 


32 


518 


43 49 


688 1 


5 


10 


15 


21 


26 


31 


216 


41 46 


737 2 


5 


10 


15 


2!0 


24 


29 


314 


39 44 


783 9 


5 


9 


14 


19 


23 


28 


313 


37 42 


828 6 


4 


9 


13 


1.8 


22 


27 


31 


36 40 


8713 


4 


9 


13 


17 


21 


26 


iO 


34 38 


912 3 


4 


8 


12 


116 


20 


24 


29 


33 37 


9517 


4 


8 


12 


16 


20 


24 


27 


31 35 


989 5 


4 


8 


11 


115 


19 


23 


26 


30 34 


026 


4 


7 


11 


115 


18 


22 


25 


29 33 


0613 


4 


7 


11 


14 


18 


21 


25 


28 32 


095 3 


3 


7 


10 


14 


17 


20 


24 


27 31 


1282 


3 


7 


10 


13 


16 


20 


23 


26 30 


1600 


3 


6 


10 


13 


16 


19 


22 


25 29 


1909 


3 


6 


9 


12 


15 


18 


22 


25 28 


220 8 


3 


6 


9 


12 


1.5 


18 


21 


24 27 


249 9 


3 


6 


9 


12 


15 


17 


20 


23 26 


278 2 


3 


6 


8 


11 


14 


17 


20 


23 25 


305 6 


3 


5 


8 


11 


14 


16 


19 


22 25 


332 4 


3 


5 


8 


11 


13 


16 


19 


21 24 


358 4 


3 


5 


8 


10 


13 


16 


18 


21 23 


383 8 


3 


5 


8 


10 


13 


15 


18 


20 23 


408 5 


2 


5 


7 


10 


12 


15 


17 


20 22 


432 7 


2 


5 


7 


10 


12 


14 


17 


19 22 


456 3 


2 


5 


7 


9 


12 


14 


16 


19 21 


479 3 


2 


5 


7 


9 


12 


14 


16 


18 21 


5019 


2 


r 


7 


9 


11 


14 


16 


18 2 


523 9 


2 


4 


7 


9 


11 


13 


15 


18 20 


545 4 


2 


4 


6 


9 


11 


13 


15 


17 19 


566-S 


2 


4 


6 


8 


11 


13 


15 


17 19 


587 2 


2 


4 


6 


8 


10 


12 


14 


16 19 


607 4 


2 


4 


6 


8 


10 


12 


14 


16 18 


627 3 


2 


4 


6 


8 


10 


12 


14 


16 18 


646 7 


2 


4 


6 


8 


10 


12 


14 


16 18 


665 S 


2 


4 


6 


8 


10 


11 


13 


15 17 


684 5 


2 


4 


6 


7 


9 


11 


13 


15 17 


702 9 


2 


4 


5 


7 


9 


11 


13 


15 17 



20 



Natural Logarithms of 10 



*P 



log^ 10 



2.302 6 



it 
4-605 2 



3 

6.997 8 



4 
9.210 3 



11-5129 



6 7 

13.815 5 16-1181 



18.420 7 20-723 3 



(Continued ) 



30 



SP : 8 - 1970 



X 





1 


2 


3 


4 


5 


6 


7 


8 


5-5 


1-704 7 


706 6 


708 4 


710 2 


712 


713 8 


715 6 


717 4 


719 2 


5.6 


1-722 8 


724 6 


736 3 


728 1 


729 9 


7317 


733 4 


735 2 


737 


5.7 


1.740 5 


742 2 


744 


745 7 


747 5 


749 2 


750 9 


752 7 


754 4 


5-8 


1-757 9 


759 6 


7613 


763 


764 7 


766 4 


768 1 


769 9 


771 6 


5.9 


1.775 


776 6 


778 3 


780 


7817 


783 4 


785 1 


786 7 


788 4 


60 


1-7918 


793 4 


795 1 


796 7 


798 4 


800 1 


8017 


803 4 


805 


61 


1-808 3 


809 9 


811 6 


813 2 


8148 


816 5 


818 1 


819 7 


821 3 


6-2 


1-824 5 


826 2 


827 8 


829 4 


8310 


832 6 


834 2 


835 8 


837 4 


6.3 


1-840 5 


842 1 


843 7 


845 3 


846 9 


848 5 


850 


8516 


853 2 


6-4 


1.856 3 


857 9 


659 4 


8610 


862 5 


864 1 


865 6 


867 2 


868 7 


6.5 


1-8718 


873 3 


874 9 


876 4 


877 9 


879 5 


881c 


882 5 


884 


6.6 


1-8871 


888 6 


890 1 


8916 


893 1 


894 6 


896 1 


897 6 


899 1 


67 


1-9021 


903 6 


905 1 


906 6 


908 1 


909 5 


9110 


912 5 


914 


6.8 


1-916 9 


918 4 


919 9 


9213 


922 8 


924 2 


925 7 


927 2 


928 6 


6.9 


1-9315 


933 


934 4 


935 9 


937 3 


938 7 


940 2 


9416 


943 


70 


1-945 9 


947 3 


948 8 


950 2 


951 6 


953 


954 4 


955 9 


957 3 


7.1 


1-9601 


9615 


962 9 


964 3 


96.5 7 


967 1 


968 5 


969 9 


9713 


7-2 


1.974 1 


975 5 


976 9 


978 2 


979 6 


9810 


982 4 


983 8 


985 1 


7.3 


1-987 9 


989 2 


990 6 


992 


993 3 


994 7 


996 1 


997 4 


998 8 


7.4 


2.001 5 


002 8 


004 2 


O05 5 


006 9 


008 2 


009 6 


010 9 


0122 


7.5 


2.014 9 


016 2 


017 6 


■0183 


020 2 


0215 


022 9 


024 2 


025 5 


7.6 


2.028 1 


029 5 


030 8 


032 1 


033 4 


034 7 


036 


037 3 


038 6 


7.7 


1-041 2 


0425 


043 8 


045 1 


0464 


047 7 


049 


050 3 


051 6 


7-8 


2.054 1 


055 4 


056 7 


1058 


'059 2 


060 5 


0618 


063 1 


064 3 


7.9 


2.066 9 


068 1 


069 4 


O70 7 


0719 


073 2 


074 4 


075 7 


076 9 


80 


2.079 4 


080 7 


0819 


083 2 


084 4 


085 7 


086 9 


088 2 


089 4 


81 


2.091 9 


093 1 


094 3 


1095 6 


096 8 


098 


099 2 


100 5 


1017 


8.2 


2.104 1 


105 4 


106 6 


107 8 


109 


110 2 


1114 


112 6 


113 8 


8.3 


2.116 3 


117 5 


118 7 


119 9 


121 1 


122 3 


123 5 


1247 


125 8 


8.4 


2-128 2 


129 4 


130 6 


1318 


133 


1342 


135 3 


136 5 


1377 


8.5 


2.140 1 


1412 


1424 


143 6 


1448 


145 9 


147 1 


1483 


1494 


8.6 


2-1518 


1529 


1541 


155 2 


156 4 


1576 


158 7 


1599 


1610 


8-7 


2.163 3 


1645 


165 6 


1668 


1679 


169 1 


1702 


1713 


1725 


8-8 


2.174 8 


1759 


1770 


178 2 


179 3 


1804 


1815 


1827 


183 8 


8.9 


2.186 1 


187 2 


1883 


1894 


190 5 


1917 


192 8 


193 9 


195 


90 


2.197 2 


198 3 


199 4 


200 6 


2017 


202 8 


203 9 


205 


2061 


9 1 


2-208 3 


209 4 


210 5 


2116 


212 7 


213 8 


214 8 


215 9 


217 


9.2 


2-219 2 


220 3 


2214 


222 5 


223 5 


224 6 


225 7 


226 8 


227 9 


9.3 


2.230 


231 1 


232 2 


233 2 


234 3 


235 4 


236 4 


237 5 


238 6 


94 


2-240 7 


2418 


242 8 


243 9 


245 


246 


247 1 


248 1 


249 2 


9-5 


2.251 3 


252 3 


253 4 


254 4 


255 5 


256 5 


257 6 


258 6 


259 7 


96 


2.261 8 


262 8 


263 8 


264 9 


265 9 


267 


268 


269 


270 1 


9-7 


2.272 1 


273 2 


274 2 


275 2 


276 2 


277 3 


278 3 


279 3 


280 3 


9.8 


2.2814 


283 4 


284 4 


285 4 


286 5 


287 5 


288 5 


289 5 


290 5 


9-9 


2.292 5 


293 5 


294 6 


295 6 


296 6 


297 6 


298 6 


299 6 


300 6 


100 


2-302 6 



















TABLE 3B NATURAL LOGARITHMS 

9 



7210 
738 7 
756 1 
773 3 
790 1 

806 6 
822 9 
839 

854 7 
870 3 

885 6 
900 6 
9155 
930 1 

944 5 

958 7 
972 7 
986 5 
2-000 1 
013 6 

026 8 
039 9 
052 8 
065 6 
078 2 

090 6 
102 9 
115 
127 
138 9 

1506 
1622 
173 6 
1849 
196 1 

207 2 
218 1 
228 9 
239 6 
250 2 

260 7 
271 1 
2814 
291 5 
301 6 



- Contd 



Mean Differeences 
» . 



12 3 

14 5 

2 4 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

2 3 5 

13 4 
13 4 
13 4 

13 4 

13 4 

13 4 

13 4 

13 4 



1 3 

1 3 

1 3 

1 3 

1 3 



13 4 

12 4 

12 4 

12 4 

12 4 

12 4 

12 3 

12 3 

12 3 

12 3 

12 3 

12 3 

1 2 Z 

12 3 

12 3 

12 3 

12 3 

12 3 

12 3 

12 3 



4 5 6 

7 9 11 

7 9 11 

7 9 10 

7 9 10 

7 8 10 

7 8 10 

6 8 10 

6 8 10 

6 8 9 

6 8 9 

6 8 9 

6 8 9 

6 7 9 

6 7 9 

6 7 9 



9 



6 7 

4 7 8 
6 7 8 

5 7 8 
5 7 8 

5 7 8 

5 7 8 

5 6 8 

5 6 8 

5 6 8 

5 6 7 

5 6 7 

5 6 7 

5 4 7 

5 4 7 

5 4 7 

5 6 7 

5 6 7 

5 6 7 

4 6 7 

4 6 7 

4 5 7 

4 5 6 

4 5 6 

4 5 6 

4 5 6 

4 5 6 

4 5 6 

4 5 6 

4 5 6 



1 

7 8 9 

13 14 16 

12 14 16 

12 14 16 

12 14 15 

12 13 15 

12 13 15 

11 13 15 

11 13 14 

11 13 14 

11 12 14 

11 12 14 

11 12 14 

10 12 13 

10 12 13 

10 12 13 

10 11 13 

10 11 i3 

10 11 12 

10 11 12 

9 11 12 

9 11 12 

9 10 12 

9 10 12 

9 10 11 

9 10 11 

9 10 11 

9 10 11 

9 10 11 

8 10 11 
8 9 11 

8 9 11 

8 9 10 

8 9 10 

8 9 10 

8 9 10 

8 9 10 

8 9 10 

8 9 10 

7 9 10 

7 8 10 



log, 10-» 3-697 4 



Natural Logarithms of 10"" 
234 56789 

5^94 8 ^2 2 10^789 7 lT487 1 14-184 5 l7-881 9 . 19^579 3 21-276 7 



31 



SP ; 8 - 1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS 



e* 



erx 



Sinh X 



Cosh X 



Tanh x 



Coth X 



0.010 


1.010 05 


0.990 05 


0.010 00 


1-00005 


0.010 00 


100-003 


0.020 


1-020 20 


0.980 20 


0.020 00 


1-000 20 


0-020 00 


50006 7 


0030 


1 -030 46 


0.970 45 


0-03000 


1-000 45 


0-029 99 


33.393 3 


0040 


1-040 81 


0.960 79 


0-040 01 


1-000 80 


0.039 98 


25-013 3 


0050 


1-05127 


0.951 23 


0.050 02 


1-00125 


0-049 96 


20-016 7 


0060 


1-06184 


0.941 76 


0.060 04 


1-00180 


0.059 93 


16.686 7 


0070 


1.072 51 


0-932 39 


0.070 06 


1.002 45 


0.069 89 


14-309 


0.080 


1-083 29 


0-923 12 


0-08008 


1-003 20 


0-079 83 


12-526 7 


0.090 


1-09417 


0.913 93 


0090 12 


1-004 05 


0-089 76 


11.141 I 


O-lOO 


1-10517 


0.904 84 


0-100 17 


1-005 00 


0099 67 


10.033 3 


ono 


1-116 28 


0.895 83 


0.110 22 


1.006 06 


0.109 56 


9-127 55 


0120 


1.127 50 


0-886 92 


0.120 29 


1.007 21 


0-119 43 


8-373 29 


0130 


1.138 83 


0.878 10 


0.130 37 


1-008 46 


0.129 27 


7-735 59 


0.140 


1-150 27 


0.869 36 


O-140 46 


1-009 82 


0-139 09 


7.189 46 


0150 


1.161 83 


0-860 71 


0.150 56 


1.011 27 


0-148 88 


6.716 59 


0160 


1.173 51 


0.852 14 


O-160 68 


1-012 83 


0.158 65 


6-303 24 


0170 


1.185 30 


0.843 67 


0-170 82 


1-01448 


0.168 38 


5-938 91 


0180 


1-197 22 


0.835 27 


0-180 97 


1-016 24 


0178 08 


5.615 43 


0190 


1.209 25 


0-826 96 


0-191 14 


1-018 10 


0-187 75 


5.326 34 


0-200 


1-221 40 


0-818 73 


0-201 34 


1.020 07 


0-197 38 


5.066 49 


0210 


1-233 68 


0.810 58 


0.211 55 


1-02213 


0.206 97 


4.831 70 


0-220 


1-246 08 


0.802 52 


0.221 78 


1-024 30 


0-216 52 


4-618 55 


0-230 


1-258 60 


0.794 53 


0.232 03 


1.026 57 


0.226 03 


4.424 22 


0-240 


1-27125 


0.786 63 


0.242 31 


1-028 94 


0.235 50 


4-246 36 


0-250 


1-284 02 


0.778 80 


0.252 61 


1.03141 


0.244 92 


4-082 99 


0-260 


1-296 93 


0.771 05 


0.262 94 


1.033 99 


0.254 30 


3.932 43 


0-270 


1-309 96 


0.763 38 


0.273 29 


1.036 67 


0-263 62 


3.793 27 


0-280 


1-32313 


0-755 78 


0.283 67 


1-039 46 


0.272 90 


3.664 28 


0-290 


1-336 43 


0.748 26 


0-294 08 


1-042 35 


0-282 14 


3-54440 


0-300 


1.349 86 


0.740 82 


0.304 52 


1.045 34 


0-291 31 


3-432 74 


0-310 


1.363 42 


0.733 45 


0-314 99 


1048 44 


0.300 44 


3-328 48 


0.320 


1-377 13 


0.726 15 


0-325 49 


1051 64 


0-309 51 


3-230 95 


O-330 


1-39097 


0.718 92 


0.336 02 


1-054 95 


0.318 52 


3.139 51 


0-340 


1-404 95 


0.711 77 


0.346 59 


1-058 36 


0-327 48 


3-053 65 


0-350 


1-419 07 


0.704 69 


0-357 19 


1.06188 


0-336 38 


2-97287 


0.360 


1-433 33 


0.697 68 


0-367 83. 


1-065 50 


0-345 21 


2.896 75 


0.370 


1447 74 


O-690 73 


0.378 50 


1.069 23 


0.353 99 


2.824 92 


O-380 


1.462 20 


0.683 86 


0-389 21 


1-073 07 


0.362 71 


2-757 04 


O-390 


1-476 98 


0.677 06 


0.399 96 


1.077 02 


0.371 36 


2.692 80 


0400 


1-491 82 


0-670 32 


0.410 75 


1.081 07 


0.379 9s 


2-631 93 


0-410 


1-506 82 


0-663 65 


0.421 58 


1.085 23 


0.388 47 


2.574 18 


0-420 


1-521 96 


0.657 05 


0.432 46 


1-089 50 


0.396 93 


2.519 33 


0.430 


1-537 26 


0.650 51 


0-443 37 


1-093 88 


0-405 32 


2.467 18 


0-440 


1-552 71 


0.644 04 


0.454 34 


1.098 37 


0.413 64 


2-417 54 


0-450 


1-568 31 


0-637 63 


0.465 34 


1.102 97 


0.421 90 


2.370 24 


0-460 


1-584 07 


0.631 28 


0-476 40 


1.107 68 


0.430 08 


2.325 13 


0-470 


1>599 99 


0-625 00 


0.487 50 


1.112 50 


0.438 20 


2.282 07 


0-480 


1.616 07 


0.618 78 


0-498 65 


1.11743 


0-446 24 


2-240 93 


0-490 


1-632 32 


0.612 63 


O-509 84 


1.122 47 


0-454 22 


2-201 59 


0-50O 


1-648 72 


0.606 53 


0-521 10 


1-127 63 


0-462 12 


2.163 95 


0-510 


1-665 29 


0.600 50 


0.532 40 


1-132 89 


0.469 94 


2.127 91 


0-520 


1-682 03 


0.594 52 


0-543 75 


1.138 27 


0-477 70 


2.093 34 


0-S30 


1.698 93 


0.588 60 


0-555 16 


1-143 77 


0.485 38 


2.060 26 


0-540 


1.716 01 


0-582 75 


0-566 63 


1-149 38 


0.492 99 


2-028 45 


0-550 


1-733 25 


0-576 95 


0.578 15 


1-155 10 


0.500 52 


1-997 92 


0.560 


1-750 67 


0.571 21 


0.589 73 


1.160 94 


0.507 98 


1-968 59 


0.570 


1-768 27 


0-565 52 


O-601 37 


1.166 90 


0.515 36 


1-940 39 


0-580 


1-786 04 


0-559 90 


0.613 07 


1.172 97 


0.522 66 


1.913 27 


0-590 


1-803 99 


0-554 33 


0.624 83 


1.179 16 


0.529 90 


1.887 16 


0.600 


1-822 12 


0.548 81 


0.636 65 


1-185 46 


0.537 05 


1.862 03 


0.610 


1-84043 


0.543 35 


0-648 54 


1-19189 


0.544 13 


1.837 81 


0-620 


1-858 93 


0-537 94 


0-66049 


1.198 44 


0.551 13 


1.814 46 


0-630 


1-877 61 


0-532 59 


0.672 51 


1.205 10 


0-558 05 


1.791 95 


0-640 


1-896 48 


0.527 29 


0.684 59 


1-21189 


0.564 90 


1-770 2 3 


0-650 


1-915 54 


0-522 05 


0.696 75 


1-218 79 


0.571 67 


1.749 26 














(Continued) 



32 



SP : 8 - 1970 



TABLE i EXPONENTIAL AND HYPERBOLIC FUNCTIONS —Contd 



f-X 



Sinh X 



Cosh X 



Tanh x 



Coth X 



0.660 


1.934 79 


0.516 85 


0-708 97 


1-225 82 


0-578 36 


1-729 02 


0-670 


1.954 24 


0-511 71 


0.721 26 


1.232 97 


0.584 98 


1-709 46 


0-680 


1.973 88 


0-506 62 


0.733 63 


1-240 25 


0-591 52 


1.690 56 


0-690 


1.993 72 


0-501 58 


0-746 07 


1.247 65 


0-597 98 


1-672 29 


0-700 


2-013 75 


0.496 58 


0.758 58 


1-255 17 


0-604 37 


1.654 62 


0-710 


2-033 99 


0.491 64 


0-771 17 


1.262 82 


0-610 68 


1.637 53 


0-720 


2.054 43 


0.486 75 


0-783 84 


1-270 59 


0.616 91 


1.620 98 


0-730 


2-075 08 


0.481 91 


0-796 59 


1.278 50 


0-623 06 


1.604 97 


0-740 


2-095 94 


0.477 11 


0.809 41 


1-286 52 


0.629 14 


1-589 46 


0-750 


2117 00 


0-472 37 


0.822 32 


1-294 68 


0-635 15 


1.574 43 


0-760 


2138 28 


0-467 67 


0-835 30 


1.302 97 


0.641 08 


1-559 88 


0-770 


2-159 77 


0463 01 


0-848 38 


1.311 39 


646 93 


1-545 76 


0-780 


2-181 47 


0.458 41 


0.861 53 


1.319 94 


0-652 71 


1532 08 


0-790 


2-203 40 


0.453 84 


0.874 78 


1.328 62 


0.658 41 


1.518 81 


0-800 


2-225 04 


0-449 33 


0.888 11 


1.337 44 


0.664 04 


1-505 94 


0-810 


2.247 91 


0-444 86 


0.901 52 


1.346 38 


0-669 59 


1.493 45 


0-820 


2-270 50 


0440 43 


0-915 03 


1.355 47 


0-675 07 


1-481 33 


0-830 


2.293 32 


0.436 05 


0.928 64 


1.364 68 


0.680 48 


1.469 56 


0-840 


2.316 37 


0.431 71 


0-942 33 


1.374 04 


0.685 81 


1-458 13 


0-850 


2.339 65 


0-427 42 


0.956 12 


1-383 53 


0-691 07 


1-447 03 


0-860 


2-363 16 


0.423 16 


0.970 00 


1-393 16 


0-696 26 


1.436 2.5 


0-870 


2-386 91 


0.418 95 


0.983 98 


1.402 93 


0-701 37 


1-425 77 


0-880 


2-410 90 


. 0.414 78 


0-998 06 


1.412 84 


0-706 42 


1-415 59 


0-890 


2-435 13 


0.410 66 


1.012 24 


1-422 89 


0-711 39 


1.405 69 


0-900 


2-459 60 


0-406 57 


1.026 52 


1.433 09 


0-716 30 


1.396 07 


0.910 


2-484 32 


0-402 52 


1 040 90 


1-443 42 


0.721 13 


1-386 71 


0-920 


2-509 29 


0-398 52 


1-055 39 


1-453 90 


0.725 90 


1-377 61 


0-930 


2-534 51 


0-394 55 


1 069 98 


1-464 53 


0.730 59 


1.368 75 


0-940 


2-559 98 


0.390 63 


1-084 68 


1-475 30 


0-735 22 


1.360 13 


0-950 


2585 71 


0.386 74 


1.099 48 


1-486 22 


0-739 78 


1-35175 


0-960 


2-611 70 


0-382 89 


1-114 40 


1.497 30 


0-744 28 


1.343 59 


0-970 


2.637 94 


0-379 08 


1.129 43 


1-508 51 


0.748 70 


1.335 64 


0-980 


2-664 46 


0.375 31 


1144 57 


1.519 88 


0-753 07 


1.327 91 


0-990 


2.691 23 


0-371 58 


1.159 83 


1.53141 


6.757 36 


1-320 37 


1-000 


2-718 28 


0-367 88 


1-175 20 


1-543 08 


0.761 59 


1-313 04 


1.010 


2-745 60 


0-364 22 


M90 69 


1-554 91 


0-765 76 


1-30S 89 


1-02O 


2-773 20 


0-360 60 


1.206 30 


1-566 90 


0.769 87 


1.298 93 


1-030 


2-801 07 


0-357 01 


1-22203 


1-579 04 


0-773 91 


1.292 14 


1-040 


2-829 22 


0-353 46 


1-237 88 


1 -591 34 


0-777 89 


1-285 53 


1-050 


2-857 65 


0-349 94 


1.253 86 


1-603 79 


0-781 81 


1.279 09 


1-060 


2-886 37 


0.346 46 


1-269 96 


1.616 41 


0.785 66 


1.272 81 


1-070 


2-915 38 


0.343 01 


1-286 18 


1.629 19 


0-789 46 


1.266 69 


1-080 


2.944 68 


0.339 60 


1-302 54 


1-64214 


0-79Si 20 


1.260 72 


1-09O 


2.974 27 


0-336 22 


1-319 03 


1-655 24 


0-796 88 


1.254 90 


1.100 


3.004 17 


0-332 87 


1.335 65 


1.668 52 


0.800 50 


1.249 22 


1110 


3034 36 


0.329 56 


1-352 40 


1.681 96 


0.804 06 


1.243 68 


1-120 


3.064 85 


0.326 28 


1-369 29 


1.695 57 


0.807 57 


1-238 28 


1-130 


3.095 66 


0.323 03 


1-386 31 


1-709 34 


0.811 02 


1.233 02 


1140 


3.126 77 


0.319 82 


1-403 48 


1.723 29 


0.814 41 


1.227 88 


1.150 


3.158 19 


0-316 64 


1.420 78 


1.737 42 


0-817 75 


1.222 86 


1.160 


3.189 93 


0.313 49 


1.438 22 


1-751 71 


0-821 04 


1-217 97 


1-170 


3.221 99 


0.310 37 


1-455 81 


1.766 18 


0-824 27 


1-213 19 


1-180 


3-254 37 


0.307 28 


1-473 55 


1-780 83 


0.827 45 


1-208 53 


1-190 


3-287 08 


0.304 22 


1-49143 


1.795 65 


0.830 58 


1-203 98 


1-200 


3-320 12 


0-301 19 


1-509 46 


1-810 66 


SS"" 66 


1.199 54 


1-210 


3.353 48 


0-298 20 


1.527 64 


1-825 84 


0.836 tS 


1-195 20 


1-220 


3.387 19 


0.295 23 


1-545 98 


1-841 21 


0.839 6.^ 


1-190 97 


1-230 


3.421 23 


0-292 29 


1.564 47 


1-836 76 


0-842 58 


1-186 83 


1-240 


3-455 61 


0-289 38 


1.583 12 


1-872 50 


0-845 46 


1.182 79 


1-250 


3.490 34 


0.286 51 


1-601 92 


1-888 42 


0.848 28 


1.178 85 


1-260 


3-525 42 


0-283 65 


1-620 88 , 


1-904 54 


0-851 06 


1-175 00 


1-270 


3.560 85 


0-280 83 


1-640 01 


1-920 84 


0-853 80 


1-171 24 


1-280 


3-596 64 


0-278 04 


1.659 30 


1-937 34 


0-SJ(J 48 


1-167 56 


1-290 


3-632 79 


0-275 27 
0-272 54 


1-678 76 


1-954 03 


0-859 13 


1-163 97 


1-300 


3.669 30 


1.698 38 


1-97091 


0-86172 


1-160 47 



{Continued) 



s:? 



SP: 8 - 1970 





TABLE 4 


EXPONENTIAL 


AND HYPERBOLIC FUNCTIONS 


— Contd 




X 


e* 


e-z 


Sinh X 


Cosh X 


Tanh x 


cotll X 


. 1.310 


3-70617 


0-269 82 


1-71818 


1.988 00 


0-864 28 


1-157 04 


1-320 


3.743 42 


0.267 14 


1.738 14 


2-005 28 


0.866 78 


1-153 69 


1-330 


3.781 04 


0-264 48 


1-758 28 


2.022 76 


0-869 25 


1-150 42 


1.340 


3-819 04 


0-26185 


1-778 60 


2 040 44 


0.871 67 


1-147 22 


1-350 


3.857 43 


0-259 24 


1-799 09 


2-058 33 


0-874 05 


1-144 10 


1-360 


3.896 19 


0-256 66 


1-819 77 


2-076 43 


0-876 39 


1.141 04 


1-370 


3.935 35 


0.254 11 


1-840 62 


2.094 73 


0-878 69 


M38 06 


1-380 


3.974 90 


0-25158 


1.861 66 


2.113 24 


0-880 95 


1-13514 


1.390 


4.014 85 


0-249 08 


1-882 89 


2-13196 


0-883 17 


1-13228 


1-400 


4-055 20 


0-246 60 


1.904 30 


2.150 so 


0-885 35 


1-129 50 


1-410 


4-095 96 


0-244 14 


1.925 91 


2- 170 08 


0.887 49 


1.126 77 


1-420 


4.137 12 


0.241 71 


1-947 70 


2-189 42 


0.889 60 


1-124 10 


1-430 


4-178 70 


0-239 3 1 


1-969 70 


2-209 00 


0.891 67 


1.121 50 


1.440 


4-220 70 


0.236 93 


1.991 88 


2.228 81 


0-893 70 


1-11895 


1.450 


4.263 12 


0-234 57 


2-014 27 


2.248 84 


0-895 69 


1-11645 


1-460 


4-305 96 


0.232 24 


2.036 86 


2.289 10 


0-897 65 


1-11402 


1-470 


4.349 24 


0-229 92 


2.059 66 


2.289 58 


0-899 58 


1-11163 


1-480 


4.392 95 


0.227 64 


2.082 65 


2-31029 


0.901 47 


1.109 30 


1,490 


4437 10 


0.225 37 


2-105 86 


2.331 23 


0-903 32 


1-107 02 


1-500 


4-481 69 


0-22313 


2.129 28 


3.352 41 


90515 


1-104 79 


1-510 


4-526 73 


0220 91 


2-15291 


2.373 82 


0.906 94 


1-102 61 


1-520 


4.472 22 


0-218 71 


2.176 76 


2-395 47 


0-908 70 


1.10048 


1-530 


4-61818 


0-216 54 


2-200 82 


2-417 36 


0-910 42 


1-098 40 


1-540 


4.664 59 


0-214 38 


2-225 10 


2-439 49 


0-912 12 


1-096 35 


1-550 


4-71147 


0-2122.5 


2-249 61 


2-461 86 


0.913 78 


1-094 35 


1-560 


4.758 82 


0-21014 


2 -.274 34 


1-484 48 


0-915 42 


1-092 39 


1-570 


4-806 65 


0-208 04 


2.299 30 


2-507 35 


0-917 03 


1-090 48 


1-580 


4.854 96 


0-205 98 


2-324 49 


2-530 46 


0-918 60 


1-088 61 


l-'590 


4-903 75 


0-203 93 


2.349 91 


2.553 84 


0-920 15 


1-086 78 


1-600 


4.953 03 


0-201 90 


2.375 57 


2.577 46 


0-921 67 


1.084 99 


1-610 


5-002 81 


0-199 89 


2-401 46 


2-6013.5 


0-923 16 


1-083 24 


1-620 


5-053 09 


0.197 90 


2.427 60 


2.625 50 


0-924 62 


1-08152 


1-630 


5-103 S8 


0-195 93 


2.453 47 


2.649 90 


0-926 06 


1-079 84 


1-640 


5-155 17 


0-193 98 


2-480 60 


2.674 58 


0-927 47 


1-078 20 


1-650 


5-206 98 


0-19205 


2-507 46 


2.699 52 


0-928 86 


1-076 59 


1-660 


5-259 31 


0-19014 


2.534 59 


2.724 72 


0-930 22 


1-075 02 


1-670 


5-31217 


0-188 25 


2-56196 


2.750 21 


0-931 55 


1.073 48 


1-680 


5.365 56 


0.186 37 


2.589 59 


2.775 96 


0-932 86 


1-07197 


1.690 


5.419 48 


0.184 52 


2.617 48 


2.802 00 


0.934 15 


1-070 50 


1-700 


5.473 95 


0.182 68 


2.645 63 


2.828 32 


0-935 41 


1.069 05 


1-710 


5.528 96 


0.180 87 


2.674 05 


2.854 91 


0.936 65 


1.067 64 


1-720 


5-584 53 


0-179 07 


2-702 73 


2.881 SO 


0-937 86 


1-066 25 


1-750 


5-640 65 


0.177 28 


2.731 68 


2-908 97 


0-939 06 


1-064 90 


1.740 


5.697 34 


175 52 


2.760 91 


2.936 43 


0-940 23 


1063 57 


1-750 


5.754 60 


0.173 77 


2.790 41 


2.964 19 


0-941 38 


1062 28 


1-760 


5.812 44 


0-172 04 


2.820 20 


2.992 24 


0.942 50 


1.061 01 


1-770 


5.870 85 


0-170 33 


2.850 26 


3-020 59 


0.943 61 


1-059 76 


1-780 


5.929 86 


0.168 64 


2-880 61 


3-049 25 


0.944 70 


1.058 54 


1-790 


5.989 45 


0.166 96 


2-91125 


3-078 21 


0.945 76 


1-057 35 


1.800 


6.049 65 


0-165 30 


2.942 17 


3.107 47 


0-946 81 


1-05618 


1-810 


6.110 45 


0.163 65 


2.973 40 


3.137 05 


0.947 83 


1-055 04 


1.820 


6-17186 


0.162 03 


3.004 92 


3.166 94 


0.948 84 


1-053 92 


1-830 


6.233 89 


0.160 41 


3.036 74 


3.197 15 


0.949 83 


1-052 82 


1-840 


6-296 54 


0.158 82 


3.068 86 


3-22^68 


0.950 80 


1051 75 


1-850 


6-359 82 


0-157 24 


3.101 29 


3.258 53 


0.951 75 


1.050 70 


1-860 


6.423 74 


0-155 67 


3-134 03 


3.289 70 


0.952 68 


1.049 67 


1-870 


6.488 30 


0.154 12 


3.167 09 


3.321 21 


0.953 59 


1.048 66 


1-880 


6.553 50 


0-152 59 


3-200 46 


3.353 05 


0.954 49 


1-047 68 


1-890 


6.619 37 


0-15107 


3.234 15 


3.385 22 


0.955 37 


1-046 71 


1-900 


6.685 89 


0-149 57 


3.268 16 


3-417 73 


0.956 24 


1.045 76 


1-910 


6-753 09 


0.148 08 


3-302 50 


3-450 58 


0.957 08 


1.044 84 


1-920 


6.820 96 


0.146 61 


3.337 18 


3-483 78 


0.957 92 


1.043 93 


1.930 


6.889 51 


0-145 15 


3.372 18 


3.517 33 


0.958 73 


1-043 04 


1-940 


6.958 75 


0-143 70 


3-407 52 


3.551 23 


0-959 53 


1-042 17 


1.950 


7-028 69 


0.142 27 


3.443 21 


3-585 48 


0.960 32 


1041 32 



(Continued) 



34 



SP:8- 1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS —Contd 

e" er* Sinh x Cosh x Tanh x Coth x 



1%0 


7.099 33 


0-140 86 


3.479 23 


3.620 09 


0-961 09 


1.040 48 


1-970 


7.170 68 


0-139 46 


3-515 61 


3-655 07 


0-961 85 


1-039 67 


1.980 


7.242 74 


0.138 07 


3-552 34 


3.690 41 


0.962 59 


1.038 87 


1.990 


7-315 53 


0.136 70 


3.589 42 


3.726 12 


0.963 31 


1.038 08 


2.000 


7.389 06 


0-135 34 


3.626 86 


3-762 20 


0-964 03 


1-037 32 


2.010 


7.463 32 


0.133 99 


3-664 66 


3-798 65 


0-964 73 


1-03656 


2-020 


7-538 32 


0-132 66 


3-702 84 


3-835 49 


0.965 41 


1-03582 


2-030 


7-614 09 


0-131 34 


3-741 38 


3.872 71 


0-966 09 


1-03510 


2-040 


7-690 61 


0-13003 


3-780 29 


3.910 32 


0-966 75 


1.034 40 


2-050 


7.767 90 


0-128 74 


3-819 58 


3.948 32 


0-967 40 


1-033 70 


2-060 


7.845 97 


0-127 45 


3-859 26 


3.986 71 


0.968 03 


1.033 03 


2-070 


7.924 82 


0-12619 


3-899 32 


4-025 SO 


0.968 65 


1.032 36 


2-080 


8.004 47 


0'124 93 


3.939 77 


4-064 70 


0-969 26 


1.031 71 


2-090 


8-084 92 


0-123 69 


3.980 61 


4.104 30 


0-969 86 


1-03107 


2-100 


8-166 71 


0-122 46 


4-021 86 


4.144 31 


0-970 45 


1.030 45 


2.110 


8-248 24 


0121 24 


4.063 SO 


4.184 74 


0-971 03 


1-029 84 


2-120 


8-331 14 


0-120 03 


4-105 5.5 


4.225 58 


0-971 59 


1.029 24 


2-130 


8-414 87 


0-118 84 


4.148 02 


4.266 85 


0-97215 


1-028 65 


2-140 


8.499 44 


0-117 66 


4-190 89 


4-308 54 


0-972 69 


1.028 07 


2-150 


8.584 86 


0-11648 


4.234 19 


4-350 67 


0.973 23 


1-027 51 


2.160 


8-67114 


0-115 32 


4.277 91 


4.393 23 


0-973 75 


1-026 96 


2-170 


8-758 28 


0-11418 


4.322 OS 


4.436 23 


0-974 26 


1-026 42 


2.180 


8.846 31 


0-113 04 


4366 63 


4.479 67 


0-974 77 


1-025 89 


2.190 


8.935 21 


0-11192 


4.41165 


4.523 56 


0-975 26 


1-025 37 


2-200 


9-025 01 


0-110 80 


4-45711 


4-S67 91 


0-975 74 


1.024 84 


2.210 


9-115 72 


0-109 70 


4.503 01 


4.612 71 


0.976 22 


1-024 36 


2.220 


9-207 33 


0-108 61 


4-549 36 


4.657 97 


0-976 68 


1.023 87 


2.230 


9-299 87 


0-107 53 


4.596 17 


4.703 70 


0-977 14 


1-023 40 


2.240 


9-393 33 


0-106 46 


4.643 44 


4.749 90 


0-977 59 


1.022 93 


2.250 


9.487 74 


0-105 40 


4.691 17 


3.796 57 


0-978 03 


1-022 47 


2-260 


9.583 09 


0104 35 


4.739 37 


4.843 72 


0.978 46 


1-022 02 


2.270 


9.679 40 


0-103 31 


4-788 04 


4.891 36 


0-978 88 


1-02158 


2-280 


9.776 68 


0-102 28 


4.837 20 


4.939 48 


0-979 29 


1-021 14 


2-290 


9-874 94 


0-101 27 


4.886 84 


4-988 10 


0-979 70 


1-020 72 


2.300 


9.974 18 


0-100 26 


4.936 96 


5-037 22 


0.980 10 


1-020 31 


2-310 


10.074 4 


0-099 261 


4-987 58 


5.086 84 


0-980 43 


1-019 90 


2.320 


10175 V- 


0.098 274 


5,038 70 


5-136 97 


0.980 87 


1.019 SO 


2-330 


10.277 9 


0.097 296 


5-090 32 


5.187 62 


0-981 24 


1-01911 


2-340 


10.381 2 


0-096 328 


5-142 45 


5.238 78 


0-98161 


1-018 73 


2-350 


10-485 6 


0.095 369 


5-195 10 


5-290 47 


0-981 97 


1.018 36 


2.360 


10.591 


0.094 420 


5.248 27 


5-342 69 


0-982 33 


1.017 99 


2.370 


10.697 4 


0-093 481 


5.301 96 


5-395 44 


0-982 67 


1-017 63 


2-380 


10-804 9 


0.092 551 


5.356 18 


5-448 73 


0-983 01 


1.017 28 


2.390 


10.913 5 


0-091 630 


S-410 93 


5.502 56 


0-983 35 


1.016 93 


2.400 


11.023 2 


0.090 718 


5.466 23 


5-556 99 


0.983 66 


1.016 40 


2.410 


11.134 


0-089 815 


5-522 07 


5-61189 


0-984 00 


1.016 24 


2.420 


11.245 9 


0.088 922 


5-578 47 


5.667 39 


0-984 31 


1-015 94 


2.430 


11.358 9 


0.088 037 


5-635 42 


5.723 46 


0-984 62 


1-015 62 


2-440 


11.473 


0-087 161 


5-692 94 


5-780 10 


0-984 92 


1-015 31 


2.450 


11.588 3 


0-086 294 


5-75103 


5.837 32 


0-985 22 


1-015 00 


2-460 


11.704 8 


0-085 435 


5-809 69 


5.895 12 


0-985 51 


1-014 71 


2.470 


11.822 4 


0-084 585 


5.868 93 


S-953 52 


0.985 79 


1-014 41 


2-480 


11.941 3 


0-083 743 


5.928 76 


6.012 SO 


0-986 07 


1.014 12 


2-490 


12.061 3 


0.082 910 


5-98918 


6-072 09 


0.986 35 


1-013 84 


2.500 


12.182 5 


0-082 085 


6050 20 


6.132 29 


0-986 61 


1-013 57 


2-510 


12-304 9 


0-081 268 


6-11183 


6.193 10 


0-986 88 


1.013 30 


2-520 


12.428 6 


0080460 


6.174 07 


6.254 53 


0-98714 


1.013 03 


2-530 


12-553 5 


0-079 659 


6.236 92 


6.316 58 


0-087 39 


1.012 77 


2-540 


12.679 7 


0-078 866 


6.300 40 


6.379 27 


0-V87 64 


1-012 52 


2.550 


12-8071 


0-078 082 


6.364 51 


6.442 59 


0-987 88 


1.012 27 


2-560 


12.935 8 


0.077 305 


6.429 26 


6-506 56 


0-988 12 


1.012 02 


2-570 


13.065 8 


0.076 536 


6.494 64 


6.571 18 


0-988 35 


1.011 78 


2.580 


13.197 1 


0-075 774 


6-560 68 


6-636 46 


0-988 58 


1.01155 


2-590 


13.329 8 


0-075 020 


6.627 38 


6.702 40 


0-988 81 


1.011 32 


2.600 


13.463 7 


0-074 274 


6.694 73 


6.769 01 


0-989 03 


1.011 09 



{Continued) 

35 



SP:8-1970 



TABLE 4 EXPONEIMTIAL AND HYPERBOLIC FUNCTIONS —Contd 



ex 



e-x 



Sinh X 



Cosh X 



Tanh x 



Coth X 



2.610 


13.599 1 


0-073 535 


6-762 76 


6.836 29 


0-989 24 


1.010 87 


2.620 


13.735 7 


0-072 803 


6-831 46 


6.904 26 


0.989 46 


1-010 66 


2.630 


13.873 8 


0-072 078 


6.900 85 


6.972 92 


0.989 66 


1-01044 


2-640 


14.013 2 


0-071 361 


6-970 92 


7.042 28 


0.989 87 


1.010 24 


2.650 


14.154 


0.070 651 


7.04169 


7.112 34 


0.990 07 


1.010 33 


2-660 


14.296 3 


O-069 948 


7.113 17 


7.183 12 


0.990 26 


1-009 83 


2-670 


14440 6 


0.069 252 


7.185 36 


7.254 61 


O-990 45 


100964 


2-680 


14.585 1 


0-068 563 


7.258 27 


7-326 83 


0.990 64 


1-00945 


2-690 


14.731 7 


0.067 881 


7.331 90 


7-399 78 


a.990 83 


1-009 26 


2-700 


14.879 7 


0.067 206 


7.406 26 


7.473 47 


0-991 01 


1-009 07 


2.710 


15.029 3 


0.066 537 


7.481 37 


7.547 91 


0.991 18 


1-008 89 


2.720 


15-180 3 


0.065 875 


7-557 22 


7.623 10 


0.991 36 


1.008 72 


2-730 


15-332 9 


0.065 219 


7-633 83 


7-699 05 


0.991 53 


1-008 54 


2-740 


15-487 


O-064 570 


7-71121 


7-775 78 


0-991 70 


1008 37 


2.750 


15-642 6 


0.063 928 


7.789 35 


7-853 28 


0.991 86 


t-008 21 


2.760 


15-799 8 


0-063 292 


7-868 28 


7.931 57 


0-992 02 


1-00804 


2.770 


15-958 6 


0-062 662 


7.947 99 


8.010 65 


0.992 18 


1007 88 


2-780 


16-119 


0.062 039 


8-028 49 


8.090 53 


0-992 33 


1007 73 


2.790 


16-281 


0.061421 


8-109 80 


8171 22 


0-992 48 


1007 57 


2.800 


16-444 6 


0.060 810 


8191 92 


8-252 73 


0-992 63 


1007 42 


2.810 


16.609 9 


0.060 205 


8.274 86 


8-335 06 


0.992 78 


1007 28 


2.820 


16-776 8 


0.059 606 


8.358 62 


8.418 23 


0-992 92 


1-00713 


2.830 


16-945 5 


0.059 013 


8443 22 


8-502 24 


0-993 06 


1007 00 


2.840 


17.115 8 


0.058 426 


8.528 67 


8.587 10 


0-993 20 


1-006 85 


2.850 


17.287 8 


0-057 844 


8.614 97 


8-672 81 


0.993 33 


100671 


2-860 


17.461 5 


0.057 269 


8-70213 


8.759 40 


0.993 46 


1-006 58 


2-870 


17.637 


0.056 699 


8-79016 


8.846 86 


0.993 59 


1-006 45 


2-880 


17-814 3 


0.056 135 


8-879 07 


8.935 20 


0.993 72 


1-006 32 


2-890 


17-993 3 


0-055 576 


8.968 87 


9 024 44 


0-993 84 


1-006 20 


2-900 


18.174 2 


0-055 023 


9.059 56 


9-114 58 


0.993 96 


1-00607 


2.910 


18.356 8 


0.054 476 


9.151 16 


9-205 64 


0.994 08 


1-005 95 


2.920 


18.541 3 


0.053 934 


9.243 68 


9-297 61 


0-994 20 


1-005 83 


2.930 


18.727 6 


0.053 397 


9.337 12 


9-390 51 


0-994 31 


1-OOS 72 


2-940 


18-915 8 


0.052 866 


9.431 49 


9-484 36 


0.994 43 


1-OOS 60 


2.950 


19.106 


0.052 340 


9.526 81 


9-579 15 


0.994 54 


1-005 49 


2.960 


19.298 


0-051 819 


9.623 08 


9-674 90 


0-994 64 


1-005 38 


2.970 


19.491 9 


0.051 303 


9.720 31 


9-771 61 


0-994 75 


1-005 28 


2.980 


19.687 8 


0.050 793 


9.818 51 


9.869 30 


0-994 85 


1-005 17 


2.990 


19.885 7 


0-050 287 


9.917 70 


9.967 98 


0-994 96 


1.005 07 


3.000 


20.085 5 


0-049 787 


10.017 9 


10.067 7 


0-995 06 


1-004 97 


3-010 


20.287 4 


0.049 292 


10.119 


10.168 4 


0-995 15 


1-004 87 


3-020 


20-491 3 


0.048 801 


10-221 2 


10.270 


0.995 25 


1-004 77 


3.030 


20697 2 


0.048 316 


10.324 5 


10.372 8 


0.995 34 


1-004 68 


3040 


20.905 2 


0-047 835 


10.428 7 


10.476 5 


0.995 43 


1-004 59 


3 050 


21-1153 


0.047 359 


10.534 


10.5814 


0-995 52 


1-004 50 


3.060 


21.327 6 


0.046 888 


10.640 3 


10-687 2 


0.995 61 


1-004 41 


3.070 


21.541 9 


0-046 42 1 


10.747 7 


10-794 2 


0.995 70 


1-004 32 


3.080 


21.758 4 


0.045 959 


10.856 2 


10-902 2 


0-995 78 


1-004 23 


3 090 


21-9771 


0.045 502 


10.965 8 


11-0113 


0-995 87 


100415 


3.100 


22.198 


0-045 049 


11-076 4 


11-1215 


0.995 95 


1-00407 


3.110 


22-421 


0.044 601 


11188 2 


11.232 8 


0-996 03 


1004 00 


3-120 


22.646 4 


0-044 157 


11-301 1 


11-345 3 


0.996 11 


1-003 91 


3-130 


22-874 


0.043 718 


11.415 1 


11-4589 


0.996 18 


1003 83 


3.140 


23.103 9 


O-043 283 


11-530 3 


11-573 6 


0.996 26 


1-003 75 


3.150 


23.336 1 


0-042 852 


11.646 6 


11.689 5 


0-996 33 


1003 68 


3.160 


23-570 6 


0-042 426 


11.764 1 


11.806 5 


0.996 41 


1-003 61 


3.170 


23-807 5 


0.042 004 


11.882 7 


11-924 7 


0.996 48 


1-003 54 


3.180 


24.046 8 


0-041 586 


12.002 6 


12-044 


0.996 55 


1003 46 


3.190 


24-288 4 


0-041 172 


12123 6 


12-164 3 


0.996 62 


1003 40 


3-200 


24.532 5 


0-040 762 


12.245 9 


12.286 6 


0.996 68 


1-003 33 


3.210 


24.779 1 


0-040 357 


12.369 4 


12-409 7 


0-996 75 


1-003 26 


3.220 


25-028 1 


0.039 955 


12-494 1 


12.534 


0.996 81 


1-003 20 


3.230 


25-279 7 


O-039 557 


12-620 


12-659 6 


0-996 88 


1003 13 


3-240 


25-533 7 


0-039 164 


12-742 8 


12.786 4 


0-996 94 


1003 07 


3-250 


25-790 3 


O-038 774 


12.875 8 


12-914 6 


0.997 00 


1-003 01 



(Continited) 



36 



SP:8-1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS —Contd 



#* 



«-* 



Sinh ;V 



Cosh X 



Tanh x 



Coth x 



3-260 


26-049 5 


0-038 388 


13005 6 


13.044 


0-997 06 


1-002 95 


3-270 


26.311 3 


0.038 006 


13-136 7 


13.174 7 


0.997 12 


1-002 89 


3-280 


26-575 8 


0-037 628 


13-269 1 


13-306 7 


0-997 17 


1.002 84 


3-290 


26-842 9 


0-037 254 


13-402 8 


13.440 1 


0-997 23 


1-002 78 


3.300 


27.112 6 


0-036 883 


13-537 9 


13-574 8 


0-997 28 


1-002 72 


3-310 


27.385 1 


0.036 516 


13-674 3 


13.710 8 


0.997 34 


1002 67 


3-320 


27-6604 


0-036 153 


13-8121 


13-848 2 


0.997 39 


1-002 62 


3-330 


27-938 3 


0-035 793 


13.951 3 


13.987 1 


0-99744 


1-002 57 


3-340 


28.219 1 


0-035 437 


14-091 8 


14.127 3 


0-99749 


1-002 52 


3-350 


28.502 7 


0-035 084 


14-233 8 


14.268 9 


0.997 54 


1-002 46 


3.360 


28,789 2 


0.034 73s 


14-377 2 


14.412 


0.997 59 


1-002 42 


3-370 


29-078 5 


0.034 390 


14.522 1 


14-556 5 


0-997 f.. 


1-002 37 


3-380 


29-370 8 


0.034 047 


14-668 4 


14-702 4 


0-997 68 


1-002 32 


3.390 


29-666 


0.033 709 


14.816 1 


14.849 8 


0.997 73 


1002 28 


3.400 


29-964 1 


0.033 373 


14.965 4 


14.998 7 


0.997 78 


1002 23 


3-410 


30-265 2 


0.033 041 


15-1161 


15-149 1 


0.997 82 


1-002 19 


3.420 


30-569 4 


0-032 712 


15-268 4 


15.301 1 


0.997 86 


1-002 14 


3-430 


30876 6 


0032 387 


15.422 1 


15-454 5 


0.997 90 


1-00210 


3-440 


31.187 


0-032 065 


15-577 4 


15-609 5 


0-997 95 


1-002 06 


3-450 


31.5004 


0-031 746 


15-734 3 


15.766 1 


0-997 99 


1-002 02 


3-460 


31.817 


0-031 430 


15-892 8 


15.924 2 


0.998 03 


1-001 98 


3-470 


32.136 7 


0-031 117 


16-052 8 


16-083 9 


0-998 06 


1-00194 


3-480 


32.459 7 


0.030 807 


16-214 5 


16.245 3 


0-998 10 


1-00190 


3.490 


32-786 


0.030 501 


16.377 7 


16.408 2 


0-998 14 


1-001 86 


3-500 


33-115 4 


0.030 197 


16-542 6 


16-572 8 


0.998 18 


1-001 82 


3-510 


33448 3 


0-029 897 


16.709 2 


16.739 1 


0.998 21 


1-001 78 


3-520 


33.784 4 


0-029 599 


16.877 4 


16.907 


0.998 25 


1.00175 


3.530 


34.124 


0.029 30.5 


17.047 3 


17.076 6 


0.998 28 


1.001 72 


3.540 


34.467 


0.029 013 


17-219 


17-248 


0.998 32 


1001 68 


3-550 


34.813 3 


0-028 728 


17-392 3 


17.421 


0.998 3.5 


1-00165 


3.560 


35-163 2 


0-028 439 


17-567 4 


17-595 8 


0.998 38 


1-001 62 


3.570 


35-516 6 


0-028 1.56 


17-744 2 


17-7724 


0.998 42 


1-00159 


3.580 


35-873 5 


0.027 876 


17-922 8 


17-9507 


0.998 45 


1-001 55 


3.590 


36-234 1 


0.027 598 


18.103 2 


18.130 8 


0-998 48 


1-001 52 


3-600 


36.598 2 


0.027 324 


18.285 5 


18.312 8 


0.998 51 


1.00149 


3-610 


36-966 


0.027 052 


18.469 5 


18-496 6 


0-998 54 


1-001 46 


3-620 


37.337 6 


0-026 783 


18-655 4 


18-682 2 


0-998 57 


1-00144 


3-630 


37.712 8 


0-026 516 


18-843 2 


18.869 7 


0.998 60 


1-00141 


3.640 


38.0918 


0-026 252 


19032 8 


19.059 


0.998 62 


1-00138 


3-650 


38.474 7 


0-025 991 


19.224 3 


19-250 3 


0.998 65 


1001 35 


3.660 


38-8613 


0-025 733 


19.417 8 


19443 5 


0-998 68 


1-001 32 


3.670 


39.251 9 


0.025 476 


19.613 2 


19.638 7 


0.998 70 


1-001 30 


3-680 


39.646 4 


0.025 223 


19.810 6 


19-835 8 


0.998 73 


1-00127 


3.690 


40.044 8 


0.024 972 


20-009 9 


20034 9 


0.998 75 


1-001 25 


3-700 


40447 3 


0-024 724 


20.211 3 


20-236 


0.998 78 


1-001 22 


3-710 


40.853 8 


0-024 478 


20.414 7 


20.439 1 


0.998 80 


1-001 20 


3-720 


41.264 4 


0024 234 


20-620 1 


20-644 3 


0.998 83 


1-001 18 


3.730 


41.679 1 


0-023 993 


20-827 6 


20-851 6 


0-998 85 


1-001 15 


3.740 


42.098 


0-023 754 


21-0371 


21-060 9 


0.998 87 


1-001 13 


3-750 


42-521 1 


0.023 518 


21.248 8 


21.272 3 


0.998 89 


l-OOl 11 


3-760 


42.948 4 


0-023 284 


21-462 6 


21.485 8 


0.998 92 


1-00108 


3.770 


43.380 1 


0023 052 


21-678 5 


21.701 6 


0-998 94 


1-001 06 


3.780 


43.816 


0.022 823 


21.896 6 


21.919 4 


0.998 96 


1-00104 


3.790 


44-256 4 


0.022 596 


22.116 9 


22.139 5 


0-998 98 


1-001 02 


3-800 


44.701 2 


0022 371 


22.339 4 


22.361 8 


0.999 00 


1-00100 


3.810 


45-150 4 


0-022 148 


22.564 2 


22.586 3 


0.999 02 


1-000 98 


3.820 


45-604 2 


0-021 928 


22.791 1 


22.813 1 


0-999 04 


1-000 96 


3.830 


46-062 5 


0.021 710 


23-0204 


23-042 1 


0-999 06 


1-000 94 


3-840 


46-525 5 


0-021 494 


23-252 


23-273 5 


0-999 08 


1-000 92 


3.850 


46.993 1 


0-021 280 


23.485 9 


23-507 2 


0.999 10 


1-000 91 


3-860 


47-465 4 


0.021068 


23.722 1 


23.743 2 


0-999 11 


1-000 89 


3-870 


47-9424 


0.020 858 


23-960 8 


23.981 6 


0.999 13 


1-000 87 


3.880 


48.424 2 


0.020 651 


24.201 8 


24-222 4 


0.999 15 


1-000 85 


3-890 


48.910 9 


0-020 445 


24445 2 


24.465 7 


0.999 16 


1-000 84 


3.900 


49402 4 


0.020 242 


24.691 1 


24-7113 


0.999 18 


1-00082 



{Continued) 



37 



SP:8- 1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS —Conid. 
«* e-' Sinh X Cosh x Tanh x Coth x 



3-910 


49-899 


0020 041 


24.939 5 


24.959 5 


0.999 20 


1-000 80 


3-920 


SO.404 4 


0-019 841 


25-190 3 


25-2101 


0-999 21 


1-000 79 


3-930 


50-907 


0.019 644 


25-443 7 


25-463 3 


0-999 23 


1-00077 


3-940 


51.418 6 


0.019 448 


25.699 6 


25-719 


0.999 24 


1-000 76 


3-950 


51.935 4 


0.019 255 


25-9581 


25-977 3 


0.999 26 


1-000 74 


3-960 


52.457 3 


0.019 063 


26.219 1 


26.238 2 


0-999 27 


1-000 73 


3-970 


52-984 5 


0.018 873 


26-482 8 


26.501 7 


0-999 29 


1-O00l71 


3-980 


53.517 


0-018 686 


26-749 2 


26.767 9 


0-999 30 


1-000 70 


3-990 


54.054 9 


0-018 500 


27.018 2 


27.036 7 


0-999 32 


1.000 68 


4.000 


54-598 2 


0-018 316 


27.289 9 


27.308 2 


0-999 33 


1-000 67 


4-010 


55.146 9 


0.018 133 


27.564 4 


27.582 5 


0.999 34 


1.000 66 


4-020 


55.701 1 


0.017 953 


27.841 6 


27-859 5 


0.999 36 


1-000 64 


4-030 


56.260 9 


0-017 774 


28.121 6 


28-139 3 


0.999 37 


1.000 63 


4-040 


56-826 3 


0.017 597 


28.404 4 


28.422 


0-999 38 


1-000 62 


4-050 


57-397 5 


0-017 422 


28-690 


28-707 4 


0.999 39 


1-000 61 


4-060 


57-974 3 


0-017 249 


28-978 5 


28-995 8 


0.999 40 


1.000 60 


4-070 


58-557 


0-017 077 


29-269 9 


29.287 


0-999 42 


1-000 58 


4.080 


59-145 5 


0.016 507 


29-564 3 


29-581 2 


0-99943 


1.000 57 


4.090 


59-739 3 


0-016 739 


29-861 6 


29-878 3 


0.999 44 


1-000 56 


4.100 


60-340 3 


0.016 573 


30.161 9 


30-178 4 


0.999 45 


1-000 55 


4.110 


60.946 7 


0.016 408 


30-465 2 


30-481 6 


0.999 46 


1.000 54 


4-120 


61-5592 


0-016 245 


30.771 5 


30.787 7 


0-999 47 


1.000 53 


4.130 


62.177 9 


0-016 083 


31.080 9 


31.097 


0-999 48 


1 -000 52 


4.140 


62-802 s 


0-015 923 


31.353 4 


31-409 4 


0.999 49 


1-000 51 


4-150 


63.434 


0.015 764 


31.709 1 


31.724 9 


0-999 SO 


1-000 so 


4-160 


64-0715 


0.015 60s 


32 028 


32.043 6 


0-999 51 


1-000 49 


4.170 


64.715 5 


0.015 452 


32-350 


32.365 5 


0.999 52 


1 -000 48 


4-JSO 


65-365 9 


0-015 259 


32.675 3 


32-690 6 


0-999 53 


1-000 47 


4-190 


66-022 8 


0-015 146 


33.003 8 


33-019 


0-999 54 


1.000 46 


4-200 


66.686 3 


0-014 556 


33-335 7 


33-350 7 


0-999 55 


1-00045 


4-210 


67.356 5 


0-014 846 


33-670 8 


33.685 7 


0-999 56 


1-000 44 


4.220 


68.033 5 


0-014 655 


34.009 4 


34.024 1 


0-999 57 


1-000 43 


4.230 


68.717 2 


0.014 552 


34.351 3 


34.365 5 


0-999 58 


1-000 42 


4-240 


69.43: 9 


0-014 408 


34.696 7 


34.711 1 


0-999 58 


1-000 42 


4.250 


70.105 4 


0-014 264 


35045 6 


35.059 8 


0-999 59 


1.000 41 


4.260 


70-SlG'O 


0-014 122 


35.397 9 


35.412 1 


0.999 60 


1 -OOO 40 


4.270 


71-521 6 


0-013 982 


35-753 8 


35.767 8 


0-999 61 


1-000 39 


4-280 


72.240 4 


0-013 843 


36.113 3 


36.127 1 


0-999 62 


1-000 38 


4-290 


72.966 5 


0.013 705 


36.476 4 


36.490 1 


0-999 62 


1-000 38 


4-300 


73.69 8 


0.013 569 


36.843 1 


36-856 7 


0.999 63 


1 -000 37 


4.310 


74.440 5 


0-013 434 


37.213 5 


37-227 


0-999 64 


1 -000 36 


4-320 


75-188 6 


0.013 300 


37.587 7 


37.601 


0-999 65 


1-000 35 


4.330 


75.944 3 


0-013 168 


37.965 6 


37.978 7 


0-999 65 


1.000 35 


4.340 


76.707 5 


0.013 037 


38-347 3 


38.360 3 


0-999 66 


1.000 34 


4-350 


77.478 5 


0-012 507 


38.732 8 


38.745 7 


0-999 67 


1.000 33 


4-360 


78.237 1 


0-012 778 


39.122 2 


39-135 


0-999 67 


1-000 33 


4.370 


79-043 6 


0-012 651 


39-515 5 


39-528 I 


0-999 68 


1-000 32 


4-380 


79-838 


0012 525 


39-912 8 


39.925 3 


0-999 65 


1.000 31 


4-390 


80-6404 


0.012 401 


40.314 


40-326 4 


0-999 65 


1.000 31 


4.400 


81-450 9 


0-012 277 


40-719 3 


40.731 6 


0-999 70 


1 -000 30 


4.410 


82.269 5 


0012155 


41.128 7 


41.140 8 


0-999 70 


1.000 30 


4-420 


83-090 6 


0.012 034 


41-5421 


41-554 2 


0-999 71 


1 -000 29 


4-430 


83.931 4 


0.011 514 


41-959 8 


41.971 7 


0-999 72 


1 -000 28 


4-440 


84.774 9 


0-011796 


42.381 6 


42.393 4 


0-999 72 


1-000 28 


4-450 


85-626 5 


0-011479 


42-807 6 


42.819 3 


0-999 73 


1-00027 


4-460 


86.487 5 


0.011 562 


43.238 


43-249 5 


0-999 73 


1 -000 27 


4-470 


87-356 7 


0.011 447 


43.672 6 


43-684 1 


0-999 74 


1 -000 26 


4-480 


88.234 7 


0.011 333 


44.111 7 


44.123 


0-999 74 


1 -000 26 


4.490 


89-121 4 


0.011 221 


44-555 1 


44.566 3 


0-999 75 


1-00025 


4.500 


90.017 1 


0.011 109 


45.003 


45-014 1 


0-999 75 


1-00025 


4510 


90-921 8 


0.010 558 


45.455 4 


45.466 4 


0-999 758 


1 -000 242 


4520 


91.833 6 


0.010 889 


45-912 4 


45.923 2 


0.999 763 


1.000 237 


4-530 


92-758 6 


0.010 781 


46-373 9 


46.384 7 


0-999 76s 


1.000 232 


4-540 


93.690 8 


0.010 673 


46.840 1 


46.850 7 


0-999 772 


1.000 228 


4-550 


54.632 4 


0-010 567 


47-310 9 


47.3215 


0-999 777 


1.000 223 

• 














(Continued) 



38 



SP:8- 1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS —Contd 

ex erx Sinh X Cosli X Tauh x Coth x 



4-560 


95-583 5 


0.010 462 


47-786 5 


47.797 


0.999 781 


1-000 219 


4-570 


96-544 1 


0-010 358 


48.266 9 


48.277 2 


0-999 785 


1-000 215 


4.580 


97.514 4 


0.010 255 


48.752 1 


48.762 3 


0.999 790 


1-000 210 


4.590 


98.494 4 


0-010 153 


49.242 1 


49.252 3 


0.999 794 


1-000 206 


4-600 


99-484 3 


0.010 052 


49.737 1 


49.747 2 


0-999 798 


1-000 202 


4.610 


100.484 


0-009 952 


50-237 1 


50.247 1 


0-999 802 


1-000198 


4-620 


101.494 


0-009 853 


50.742 1 


50-751 9 


0-999 806 


1.000 194 


4-630 


102.514 


0.009 755 


51.252 2 


51.261 9 


0-999 810 


1 -000 190 


4.640 


103-544 


0-009 658 


51.767 3 


51.777 


0.999 813 


1-000 187 


4.650 


104-585 


0-009 562 


52.287 7 


52.297 3 


0-999 817 


1-000183 


4.660 


105.636 


0009 466 


52.813 3 


52.822 8 


0.999 j21 


1-000 179 


4.670 


106.698 


0-009 372 


53.344 2 


53-3.53 6 


0-99-" 824 


1-000176 


4-680 


107.770 


0-009 279 


53.880 4 


53.889 7 


0-''/9 828 


1-000 172 


4-690 


108-853 


0.009 187 


54.422 


54.431 2 


j-y99 831 


1 -000 169 


4-700 


109-947 


0-009 095 


54.969 


54-978 1 


0-999 835 


1-000165 


4.710 


111-052 


0-009 005 


55.521 6 


55-530 6 


0.999 838 


1.000 162 


4-720 


112.168 


0-008 915 


56.079 7 


56.088 6 


0.999 841 


1-000 159 


4-730 


113.296 


0.008 826 


56,643 4 


56.652 2 


0.999 844 


1-000156 


4.740 


114.434 


0-008 739 


57.212 7 


55.221 5 


0-999 847 


1-000153 


4.750 


115-584 


0.008 652 


57.787 8 


57.796 5 


0-999 850 


1-000150 


4760 


116.746 


0-008 566 


58.368 7 


58.377 2 


0-999 853 


1-000147 


4.770 


117.919 


0-008 480 


58.955 4 


58.963 9 


0.999 856 


1-000 144 


4-780 


119.104 


0-008 396 


59.548 


59.556 4 


0.999 859 


1-000141 


4-790 


120.301 


0.008 312 


60.146 5 


60.154 8 


0.999 862 


1-000 138 


4800 


121.510 


0-008 230 


60.751 1 


60.759 3 


0-999 865 


1-000 13.5 


4-SlO 


122-732 


0008 148 


61.361 7 


61.369 9 


0.999 867 


1-000133 


4.820 


123-965 


0008 067 


61.978 5 


61.986 6 


0.999 870 


1 -000 130 


4.830 


125.211 


0007 987 


62-601 5 


62-609 5 


0-959 872 


1-000 128 


4.840 


126.469 


0-007 907 


63-230 7 


63.238 6 


0.999 875 


1-000 123 


4-850 


127.740 


0.007 828 


63.866 3 


63.874 1 


0-999 877 


1-000 123 


4.860 


129.024 


0-007 750 


64.508 2 


64-516 


0.999 880 


1 -000 120 


4-870 


130.321 


0-007 673 


65156 6 


65.164 3 


0-999 882 


1-000118 


4.880 


131.631 


007 597 


65.811 5 


65-8191 


0.999 885 


1-000115 


4.890 


132.954 


0-007 521 


66.473 


66-480 5 


0-999 887 


1-000113 


4.900 


134.290 


0.007 447 


67.141 2 


67.148 6 


0.999 889 


1-000111 


4.910 


135.639 


0-007 372 


67-816 


67.823 4 


0.999 891 


1-000 109 


4.920 


137-003 


0-007 299 


68.497 7 


68.505 


0-999 893 


1-000107 


4-930 


138.380 


007 227 


69.186 1 


69.193 4 


0.999 896 


1 -000 104 


4-940 


139-770 


0-007 155 


69.881 5 


69.888 7 


0.999 898 


1-000 102 


4.950 


141-175 


0-007 083 


70.583 9 


70-591 


0-999 900 


1 -000 100 


4.960 


142.594 


0.007 013 


71-293 4 


71-800 4 


0.999 902 


1 -000 098 


4.970 


144-027 


0.006 943 


72.010 


72-016 9 


0.999 904 


i -000 096 


4.980 


145.474 


0006 874 


72.733 8 


72-740 6 


0.999 905 


1 -000 095 


4-990 


146.936 


0-006 806 


73.464 8 


73.471 6 


0.999 907 


1 -000 093 


5-000 


148-413 


0-006 738 


74.203 2 


74.209 9 


0.999 909 


1 -000 091 


5.010 


149.905 


0.006 671 


74.949 


74.455 7 


0-999 911 


1 -000 089 


5.020 


151-411 


0.006 605 


75.702 3 


75.709 


0.999 913 


1 -000 087 


5-030 


152.933 


0.006 539 


76-463 2 


76.469 8 


0,999 914 


1 -000 086 


5 040 


154-470 


0-006 474 


77-231 8 


77.238 2 


0.999 916 


1 -000 084 


5-050 


156.022 


0.006 409 


78-008 


78-014 4 


0.999 918 


1 -000 082 


5.060 


157.590 


0.006 346 


78-792 1 


78.798 4 


0.999 919 


1-000081 


5.070 


159.174 


0.006 282 


79.584 


79.590 3 


0-999 921 


1 -000 079 


5.080 


160.774 


0006 220 


80-383 


80-390 1 


0.999 923 


1 -000 077 


5.090 


162.390 


0.006 1.58 


81-191 8 


81.198 


0.999 924 


1-000 076 


5.100 


164.022 


0006 097 


82-007 9 


82.014 


0-999 926 


1-000074 


5-110 


165.670 


0-006 036 


82.832 2 


82.838 2 


0.999 927 


1-00007 3 


5.120 


167.335 


0005 976 


83.664 7 


83.670 7 


0-999 929 


1-000 071 


5.130 


169.017 


0005 917 


84.505 6 


84-5115 


0.999 930 


1 -000 070 


5.140 


170.716 


0005 858 


85.355 


85-360 8 


0.999 93 1 


1-000 069 


5.150 


172.432 


0-005 799 


86.212 8 


86.218 6 


0-999 933 


1-000 067 


5.160 


174.164 


0005 742 


87.079 4 


87-085 7 


0.999 934 


1 -000 066 


5-170 


175.915 


0005 685 


87.954 6 


87.960 3 


0-999 935 


1-000 065 


5-180 


177.683 


0-005 628 
0-005 572 


88-838 6 


83.844 2 


0-999 937 


1-000 063 


5.190 


179.469 


89-731 5 


89.737 1 


0.999 938 


1-000 062 


5-200 


181.272 


0-005 517 


90.633 4 


90.638 9 


0.999 939 


1-000061 














{Continued) 



39 



SP:8.1970 



TABLE 4 EXPONENTIAL AND HYPERBOLIC FUNCTIONS 



• Contd 



ex 



e-x 



Sinh X 



Cosh X 



Tanh x 



Coth X 



5-210 


183.094 


0-005 462 


91.544 3 


91.549 8 


0-999 940 


1-000 060 


5-220 


184-934 


0-005 407 


92.464 4 


92-469 8 


0-999 942 


1-000058 


5-230 


186-793 


0-005 354 


93.393 7 


93-399 1 


0-999 943 


1-000 057 


5-240 


188.670 


0.005 300 


94-3324 


94.337 7 


0.999 944 


1-000 056 


5-250 


190.566 


0-005 248 


95-280 5 


95-285 8 


0.999 945 


1-000 055 


5.260 


192.482 


0.005 19s 


96.238 1 


96.243 3 


0.999 946 


1-000 054 


5-270 


194.416 


0.005 144 


97-205 4 


97.210 6 


0-999 947 


1-000053 


5-280 


196.370 


0.005 092 


98182 4 


98.187 5 


0-999 948 


1 -000 052 


5-290 


198.343 


WOOS 042 


99.163 2 


99.174 2 


0-999 949 


1.000 051 


5-300 


200.337 


0-004 992 


100.166 


100171 


0.999 950 


1-000050 


5-310 


202-350 


0.004 942 


101-173 


101.178 


0.999 951 


1-000 049 


5-320 


204-384 


0-004 893 


102.190 


102.194 


0.999 952 


1-000 048 


5-330 


206.438 


0.004 844 


103.217 


103.221 


0.999 953 


1-000 047 


5-340 


208-513 


0-004 796 


104.254 


104.259 


0.999 954 


1-000 046 


5-350 


210.608 


0.004 748 


105-302 


105.307 


0.999 955 


1-000 045 


5.360 


212.725 


0-004 701 


106.360 


106.365 


0.999 956 


1-000044 


5-370 


214.863 


0004 654 


107.429 


107.434 


0.999 957 


1-000043 


5-380 


217.022 


0-004 608 


108.509 


108.513 


0-999 958 


1-000 042 


5-390 


219.203 


0-004 562 


109.599 


109.604 


0.999 958 


1-000 042 


5-400 


221.406 


0.004 517 


110.701 


110.706 


0.999 959 


1-000041 


5-410 


223.632 


0.004 472 


111.814 


111.818 


0.999 960 


1-000 040 


5-420 


225-879 


0004 427 


112.937 


112.942 


0.999 961 


1 -000 039 


5-430 


228.149 


004 383 


114.072 


114.077 


0-999 962 


1 -000 038 


5.440 


230.442 


0-004 339 


115-219 


115-223 


0.999 962 


1 -000 038 


5-450 


232.758 


0.004 296 


116.377 


116.381 


0-999 963 


1-000 037 


5-460 


235-097 


0.004 254 


117.547 


117-551 


0.999 964 


1-000 036 


5-470 


237.460 


0004 211 


118.728 


118.732 


0.999 965 


1-000035 


J . 4 8 


239.847 


0004 169 


119.921 


119.925 


0.999 965 


1-000035 


5-490 


242.257 


0004 128 


121.127 


121.131 


0.999 966 


1 -000 034 


5.500 


244.692 


0.004 087 


122.344 


122.348 


0-999 967 


1-000 033 


5-510 


247.151 


004 046 


123-574 


123.578 


0-999 967 


1-000 033 


5.520 


249.635 


0-004 006 


124812 


124.820 


0-999 968 


1 -000 032 


S-530 


252-144 


0.003 966 


126.070 


126.074 


0.999 969 


1-000 031 


5.540 


254-678 


0-003 927 


127.337 


127.341 


0-999 969 


1-000 031 


5-550 


257.238 


0-003 887 


128.617 


128.621 


0.999 970 


1-000 030 


5-560 


259-823 


0.003 849 


129.910 


129.913 


0.999 970 


1-000 030 


5-570 


262434 


0.003 810 


131.215 


131.219 


0.999 971 


1-000 029 


5.580 


265-072 


0.003 773 


132.534 


132.538 


0-999 972 


1-000028 


5.590 


267.736 


0-003 73s 


133.866 


133.870 


• 0-999 972 


1-000028 


5.600 


270.426 


0.003 698 


135-211 


135-215 


0.999 973 


1-000027 


5.610 


273-144 


0-003 661 


136.570 


136.574 


0.999 973 


1-000 027 


5-620 


275889 


0-003 625 


137.943 


137.946 


0.999 974 


1-000 026 


5.630 


278.662 


0.003 589 


139.329 


139.333 


0-999 974 


1-000 026 


5.640 


281.463 


0-003 553 


140.730 


140.733 


0.999 97s 


1-000 025 


5-650 


284.202 


0003 518 


142.144 


142-148 


0.999 97s 


1-000 025 


5.660 


287.149 


0.003 483 


143.573 


143-576 


0.999 976 


1-000 024 


5-670 


290.034 


0.003 448 


145-016 


145.019 


0.999 976 


1-000 024 


5-680 


292.949 


0003 414 


146-473 


146.476 


0-999 977 


1-000 023 


5.690 


295-894 


0-003 380 


147.945 


147.948 


0.999 977 


1-000 023 


5-700 


298.867 


0003 346 


149.432 


149.435 


0.999 978 


1-000 022 


5-710 


301.871 


0.003 313 


150-934 


150.937 


0.999 978 


1-000 022 


5-720 


304-905 


0-003 280 


152-451 


152.454 


0.999 9:'8 


1 -000 022 


5.730 


307.969 


0.003 247 


153-983 


153.986 


0.999 979 


1-000 021 


5.740 


311.064 


0.003 215 


155-531 


155-534 


0.999 979 


1-000 021 


5-750 


314-191 


0-003 183 


157-094 


157-097 


0-999 980 


1-000 020 


5-760 


317.348 


0.003 151 


158-673 


158.676 


0.999 980 


1 -000 020 


5-770 


320-538 


0-003 120 


160.267 


160.270 


0.999 981 


1-000 019 


5-780 


323.759 


0003 089 


161.878 


161.881 


0.999 981 


1-000 019 


5-790 


327-013 


003 058 


163-505 


163-508 


0-999 981 


1-000 019 


5-800 


330-300 


0.003 028 


165-148 


165151 


6.999 982 


1-000 018 


5-810 


333-619 


0-002 997 


166.808 


166.811 


0-999 982 


1-000 018 


S-820 


336-972 


0.002 968 


168-484 


168.488 


0-999 982 


t-000018- 


S-830 


340-359 


0002 938 


170.178 


170.181 


0-999 983 


1-000 017 


5-840 


343.779 


0-002 909 


171.888 


171.891 


0.999 983 


1-000 017 


5-850 


347.234 


0-002 880 


173.616 


173-619 


0.999 983 


1-000 017 














(Continued) 



40 













1 


5P:8-197l 




TABLE 4 


EXPONENTIAL 


AND HYPERBOLIC FUNCTIONS 


— Contd 




X 


ex 


«-* 


Sinh X 


Cosh X 


Tanh x 


Coth X 


5-860 
5-870 
5-880 
5-890 
5-900 


350-724 

354.249 
357.809 
361.405 
365.038 


0-002 851 
002 823 
0-002 795 
0.002 767 
0002 739 


175-361 

177.123 
178.903 
180-701 

182.517 


175-364 

177.126 
178.906 
180-701 

182.520 


0.999 984 
0-999 984 
0-999 984 
0-999 985 
0-999 985 


1-000 016 
1000016 
1-000016 
1-000015 

1-000 015 


5-910 

5.920 
5-930 

5.940 
5.950 


368-706 

372.412 
376.154 
379.935 
383.753 


002 712 
0.002 685 
002 658 
0.002 632 
0-002 606 


^184-352 
186-204 

188.076 
189.966 
191-875 


184.354 
186.207 
188.079 
189-969 
191-878 


0-999 985 
0-999 986 
0-999 986 
0-999 986 
0-999 986 


1-000 015 
1000014 
1000014 

1-000 014 
1-000 014 


5.960 
5.970 
S-980 
5-990 
6-000 


387.610 
391.506 
395.440 
399.415 
403.429 


002 580 
002 554 
0.002 529 
002 504 
0002 479 


193-804 

195.752 
197.719 
199.706 
201.713 


193.806 
195.754 
197.721 
199.709 
201.716 


0-999 987 
0-999 987 
0-999 987 

0.999 987 
0.999 988 


1-000 013 
1-000 013 

1-000 013 
1-000 013 
1-000 012 



TABLE 5A EXPONENTIAL FUNCTIONS* (e-x) 



X 


e-x 


X 


e-x 


X 


e-x 


X 


e-x 


X 


e-x 


X 


r* 


6.01 


0002 454 


6-41 


0001 645 


6.81 


0.001 103 


7.21 


0-000 739 


7-6 


0000 500 


10-1 


0400 041 


6-02 


0.002 430 


6-42 


0.001 629 


6.82 


0.001 092 


7.22 


0000 732 


7-7 


0.000 453 


10.2 


0000 037 


6-03 


0.002 405 


6.43 


0-001 612 


6.83 


0-001 081 


7.23 


0.000 725 


7-8 


0.000 410 


10-3 


0-000 034 


6-04 


0.002 382 


6.44 


0.001 596 


6-84 


0.001 070 


7.24 


0.000 717 


7-9 


0.000 371 


10-4 


0-000 030 


605 


0-002 358 


6.45 


0-001 581 


6.85 


0.001 059 


7.25 


0.000 710 


8-0 


0.000 335 


10-5 


0-000 028 


6-06 


0002 334 


6.46 


0.001 565 


6-86 


0001 049 


ll(y 


0-000 703 


8-1 


0.000 304 


10-6 


0-000025 


607 


0-002 311 


6.47 


0001 549 


6.87 


0-001 038 


7.27 


0.000 696 


8-2 


0.000 275 


10-7 


0-000023 


6.08 


0.002 288 


6.48 


0001 534 


6.88 


0.001 028 


7.28 


0-000 689 


8-3 


0-000 249 


10-8 


0000020 


6.09 


0002 265 


6.49 


0001519 


6.89 


0.001 018 


7.29 


0-000 682 


8-4 


0.000 225 


10-9 


0-000018 


6-10 


0-002 243 


6.50 


0001 503 


6.90 


0-001 008 


7.30 


0000 676 


8-S 


0.000 203 


11-0 


0-000 017 


6-11 


0002 221 


6.51 


0001488 


6.91 


0-000 998 


7.31 


0.000 669 


8-6 


0000 184 


11-1 


0000 015 


6-12 


0-002 198 


6.52 


0-001 474 


6.92 


0-000 988 


7.32 


0-000 662 


8-7 


0-000 167 


11-2 


0-000014 


6-13 


0-002 177 


6.53 


0-001 459 


6.93 


0-000 978 


7-33 


0.000 656 


8-8 


0-000 151 


11-3 


0000012 


6.14 


0.002 155 


6.54 


0-001 444 


6.94 


0-000 968 


7.34 


0-000 649 


8-9 


0.000 136 


11-4 


0-000 011 


6.15 


0.002 133 


6-55 


0-001 430 


6.95 


0-000 959 


7-35 


0-000 643 


9-0 


0-000 123 


11-5 


0-000 010 


6-16 


0-002 112 


6.56 


0-001 416 


6.96 


0.000 949 


7.36 


0.000 636 


9-1 


0-000 112 


11-6 


0-000 009 


6-17 


0-002 091 


6.57 


0-001 402 


6-97 


0-000 940 


7.37 


0.000 630 


9-2 


0-000 101 


11-7 


0-000008 


6-18 


0-002 070 


6-58 


0-001 388 


6.98 


0-000 930 


7.38 


0-000 624 


9-3 


0000 091 


11-8 


0-000 008 


6.19 


0-002 050 


6.59 


0-001 374 


6.99 


0.000 921 


7.39 


0000 617 


9-4 


0-000 083 


11-9 


0-000 007 


6.20 


0-002 029 


6.60 


0.001 360 


7-00 


0-000 912 


7.40 


0.000 611 


9-5 


0-000 075 


12.0 


0-000 006 


6.21 


0-002 009 


6-61 


0-001 347 


7.01 


0-000 903 


7.41 


0-000 605 


9-6 


0000 068 


12.1 


0-000 006 


6.22 


0.001 989 


6.62 


0.001 333 


702 


0-000 894 


7.42 


0000 599 


9-7 


0000 061 


12.2 


0000 005 


6-23 


0.001 969 


6.63 


0.001 320 


7-03 


0-000 885 


7.43 


0-000 593 


9-8 


0-000 055 


12-3 


0000005 


6.24 


0-001 950 


6.64 


0.001 307 


7-04 


0.000 876 


7-44 


0.000 587 


9-9 


0-000 050 


12.4 


0-000 004 


6-25 


0-001 930 


6.65 


0.001 294 


7-05 


0.000 867 


7-45 


O-OOO 581 


10-0 


0-000 045 


12.5 


0-000 004 


6.26 


0001 911 


6.66 


0.001 281 


7.06 


0-000 859 


7.46 


0-000 576 










6.27 


0-001 892 


6.67 


0001 268 


7.07 


0-000 850 


7.47 


0.000 570 










6.28 


0-001 873 


6.68 


0.001 256 


7-08 


0-000 842 


7.48 


0.000 564 










6.29 


0001855 


6-69 


0001243 


7.09 


0-000 833 


7-49 


0-000 559 










6-30 


0-001 836 


6-70 


0.001 231 


7-10 


0-000 825 


7.50 


0.000 553 










6.31 


0.001 818 


6.71 


0.001 219 


7.11 


0-000 817 














6-32 


0.001 800 


6.72 


0.001 207 


7.12 


0000 809 














6-33 


0001782 


6.73 


0-001 195 


7.13 


0-000 801 














6.34 


0001 764 


6 -74 


0-001 183 


7.14 


0-000 793 














6.35 


0001 747 


6 -75 


0-001 171 


7-15 


0.000 785 














6-36 


0.001 729 


6-76 


0-001159 


7.16 


0-000 777 














6-37 


0001 712 


6-77 


0-001 148 


7.17 


0-000 769 














6.38 


0.001 695 


6-78 


0-001 136 


718 


0-000 762 








t 






6-39 


0.001 678 


6-79 


0-001 125 


7-19 


0000 754 














6-40 


0-001 662 


6-80 


0-001 114 


7.20 


0-000 747 















*For values corresponding to x 6-00 or less Table 4 may be referred. 



41 



SP:8-1970 



TABLE 5B EXPONENTIAL FUNCTIONS* {e") 



X 


e* 


X 


tx 


X 


«* 


X 


«* 


600 


403.429 


650 


665.142 


7-00 


1 096.63 


7-50 


180804 


601 


407.483 


6-51 


671.826 


701 


1 107-66 


7.51 


1 826-21 


6.02 


411-579 


6.52 


678.578 


7.02 


1118.79 


7-52 


1844-57 


603 


415.715 


6.53 


685.398 


^ 7 03 


1130-03 


7-53 


1 863.11 


604 


419.893 


6.54 


692.287 


704 


1141-39 


7-54 


1 881.83 


605 


424.113 


6.55 


699.244 


7-05 


1152-86 


7-55 


1 900-74 


606 


428.375 


6.56 


706.272 


706 


1 164.44 


7-56 


1 919.85 


6.07 


432.681 


6.57 


713.370 


707 


1 176.15 


7-57 


1 939.14 


608 


437.029 


6-58 


720.539 


7.08 


1 187.97 


7-58 


1 958-63 


609 


441.421 


6.59 


727.781 


709 


1199.91 


7.59 


1978.31 


6.10 


445-858 


6-60 


735-095 


7 10 


1211.97 


760 


1 998.20 


611 


450339 


661 


742-483 


7-11 


1224.15 


761 


2 018-28 


612 


454.865 


6-62 


749.945 


7-12 


1 236.45 


7.62 


2 038.56 


6.13 


459.436 


6.63 


757.482 


713 


1 248.88 


763 


2 05905 


614 


464.054 


6.64 


765-095 


7.14 


1 261.43 


7.64 


2 079.74 


6.15 


468.717 


6.65 


772.784 


715 


1274.11 


7.65 


2 100-65 


616 


473.428 


6.66 


780.551 


7-16 


1 286-91 


7.66 


2 121.76 


6.17 


478.186 


6-67 


788.396 


7.17 


1 299.85 


7-67 


2 143-08 


6.18 


482.992 


6.68 


796.319. 


7.18 


1312-91 


7.68 


2 164-62 


6.19 


487.846 


6.69 


804.322 


7.19 


1 326.10 


7.69 


2 186.38 


6-20 


492.749 


6.70 


812.406 


7-20 


1 339.43 


7-70 


2 208.35 


6.21 


497.701 


6.71 


820.571 


7-21 


1 352.89 


7.71 


2 230-54 


6.22 


502-703 


6.72 
6.73 


828.818 


7.22 


1 366.49 


7-72 


2 252.96 


6.23 


507.755 


837.147 


7-23 


1 380.22 


7.73 


2 275.60 


6.24 


512.859 


6.74 


845.561 


7.24 


1 394.09 


7.74 


2 298.47 


6.25 


518.013 


6.75 


854.059 


7.25 


1 408.10 


7.75 


2 321.57 


6.26 


523.219 


6.76 


862.642 


7-26 


1 422.26 


7.76 


2 344.90 


6.27 


528.477 


6.77 


871.312 


7-27 


1 436.55 


7.77 


2 368.47 


6.28 


533.789 


6.78 


880069 


7.28 


1 450-99 


7.78 


2 392.28 


6-29 


539.153 


6.79 


888.914 


7.29 


1465.57 


7.79 


2 416.32 


6.30 


544.572 


6.80 


897-847 


7-30 


1 480.30 


7.80 


2 440.60 


6-31 


550.045 


6.81 


906.871 


7-31 


1 495.18 


7-81 


2 465-1 3 


6.32 


555.573 


6.82 


915.985 


7.32 


1 510.20 


7.82 


2 489.90 


6.33 


561-157 


6.83 


925.191 


7-33 


1 525.38 


7-83 


2 514.93 


6.34 


566.796 


6.84 


934-489 


7.34 


1 540-71 


7.84 


2 540.20 


6.35 


572-493 


6.85 


943-881 


7.35 


1 556.20 


7.85 


2 565.73 


6.36 


578.246 


6.86 


953-367 


7.36 


1 571.84 


7-86 


2 591.52 


6-37 


584-058 


6.87 


962.949 


7.37 


1 587.63 


7.87 


2 617.57 


6-38 


589.928 


688 


972.626 


7.38 


1 603-59 


7-88 


2 643.87 


6.39 


595.857 


6.89 


982.401 


7.39 


1 619.71 


7.89 


2 670.44 


640 


601.845 


690 


992.275 


7-40 


1 635.98 


7.90 


2 697.28 


641 


607.894 


\ 6.91 


1 002-25 


741 


1 652.43 


7.91 


2 724-39 


6.42 


614.003 


6.92 


1 012.32 


7.42 


1 669.03 


7.92 


2 751.77 


6.43 


620.174 


! 6.93 


1 022.49 


7-43 


1 685.81 


7-93 


2 779-43 


644 


626.407 


i 6.94 


1 032-77 


7-44 


1 702-75 


7.94 


2 807-36 


6.45 


632.702 


6.95 


1 043-15 


7.45 


1 719.86 


7.95 


2 835.58 


6.46 


639.061 


6.96 


1053.63 


7.46 


1737-15 


7-96 


2 864.07 


6.47 


645.484 


6.97 


1 064.22 


7-47 


1 754.61 


7-87 


2 892-86 


6.48 


651.971 


6.98 


1 074.91 


7-48 


1 772-24 


7-J3 


2 921-93 


6.49 


658-523 


' 6.99 


1 085-72 


749 


1 790-05 


7.99 


2.951-30 


6.50 


665.142 


7-00 


1 096.63 


7-50 


1 808.04 


800 


2 980-96 



'For values corresponding to xif^ or less Table 4 may be referred 



42 



(Continued) 



SPj 8 - 1970 



TABLE 5B EXPONENTIAL FUNCTIONS (e'')~Contd 



X 


ex 


X 


e" 


X 


e" 


X 


«* 


8.00 


2 980-96 


8-50 


4 914.77 


9.00 


8 103.08 


9-50 


13 359.7 


801 


3 010.92 


8.51 


4 964.16 


901 


8 184.52 


951 


13 494.0 


802 


3 041.18 


8.52 


5 014-05 


9.02 


8 266.78 


9.52 


13 629.6 


803 . 


3 071.74 


8.53 


5 064.45 


9.03 


8 349.86 


9.53 


13 766.6 


8.04 


3 102.61 


8-54 


5 115.34 


904 


8 433.78 


9.54 


13 905-0 


805 


3 133.80 


8.55 


5 166.75 


9.05 


8 518-54 


9.55 


14 044.7 


8.06 


3 165.29 


8-56 


5 218.68 


906 


8 604.15 


9.56 


14185-8 


8-07 


3197-10 


857 


5 271.13 


9-07 


8 690.62 


9.57 


14 328.4 


8.08 


3 229-23 


8.58 


5 324-11 


908 


8 777.97 


9.58 


14 472.4 


809 


3 261.69 


8.59 


5 377.61 


909 


8 866.19 


9.59 


14 617-9 


810 


3 294.47 


8.60 


5 431.66 


9.10 


8 955-29 


960 


14 764-8 


8U 


3 327.58 


8.61 


5 486-25 


9.11 


9 045-29 


9-61 


14 913.2 


8.12 


3 361.02 


862 


5 541.39 


9.12 


9 136.20 


9.62 


15 063-0 


813 


3 394.80 


8.63 


5 59708 


9.13 


9 228.02 


9.63 


15 214.4 


8.14 


3 428.92 


8.64 


5 653.33 


9.14 


9 320.77 


9.64 


15 367.3 


8.15 


3 463.38 


8.65 


5 710-15 


9.15 


9 41444 


9.65 


15 521.8 


816 


3 49819 


8.66 


5 767-53 


9.16 


9 509.06 


9.66 


15 677.8 


817 


3 533.34 


8.67 


5 825.50 


9.17 


9 604-6,2 


9.67 


15 835-4 


8-18 


3 568.86 


8-68 


5 884-05 


9.18 


9 701-15 


9.68 


15 994.5 


8.19 


3 604.72 


8.69 


5 943.18 


9.19 


9 798.65 


9.69 


16155-2 


8-20 


3 640.95 


8-70 


6 002.91 


9.20 


9 897.13 


9-70 


16 317.6 


8.21 


3 677-54 


8.71 


6 063.24 


921 


9 996.60 


9.71 


16 481.6 


8.22 


3 714.50 


8.72 


6 124.18 


9.22 


10 097-1 


9.72 


16 647.2 


8.23 


3 751-83 


8.73 


6 185.73 


9.23 


10 198.5 


9.73 


16 8146 


8.24 


3 789.54 


8.74 


6 247.90 


9.24 


10 301.0 


9.74 


16 983.5 


8.25 


3 827.63 


8.75 


6 310.69 


9.25 


10 404.6 


9.75 


17 154.2 


8.26 


3"866-09 


8.76 


6 374.11 


9.26 


10 509-1 


9.76 


17 326.6 


8.27 


3 904-95 


8-77 


6 438.17 


9.27 


10 614.8 


9.77 


17 500.8 


8.28 


3 944.19 


8.78 


6 502.88 


9.28 


10 721.4 


9.78 


17 676.6 


8.29 


3 983-83 


8.79 


6 568.23 


9.29 


10 829.2 


9.79 


17 854.3 


8-30 


4 023-87 


8-80 


6 634.24 


9.30 


10 938.0 


9.80 


18 033-7 


8.31 


4 064.31 


8.81 


6 700.92 


9.31 


11 048.0 


981 


18 215.0 


8.32 


4 105.16 


8.82 


6 768.26 


9.32 


11 159.0 


9.82 


18 398.0 


8.33 


4 146.42 


8.83 


6 836.29 


9.33 


11271.1 


9.83 


18 583-0 


8.34 


4 188.09 


8.84 


6 904.99 


9.34 


11 384.4 


9.84 


18 769.7 


8.35 


4 230.18 


8.85 


6 794.39 


9.35 


11 498.8 * 


9.85 


18 958.4 


8-36 


4 272-70 


8.86 


7 044.48 


9.36 


11 614.4 


9.86 


19 148.9 


8.37 


4 315.64 


8.87 


7 115-28 


9.37 


11 731.1 


9-87 


19 341-3 


8.38 


4 359.01 


8-88 


7 186.79 


9.38 


11 849.0 


9.88 


19 535-7 


8-39 


4 402.82 


8.89 


7 259.02 


9.39 


11 968.1 


9.89 


19 732.1 


8-40 


4 447.07 


890 


7 331.97 


9.40 


12 088.4 


9.90 


19 930.4 


8.41 


4 491.76 


8.91 


7 405.66 


9.41 


12 209.9 


9.91 


20130-7 


8.42 


4 536.90 


8.92 


7 480.09 


9.42 


12 332.6 


9.92 


20 333.0 


8.43 


4 582.50 


8.93 


7 555-27 


9.43 


12 456-5 


9.93 


20 537.3 


8-44 


4 628.56 


8.94 


7 631.20 


9.44 


12 581-7 


9.94 


20 743.7 


845 


4 675-07 


8.95 


7 707.89 


9.45 


12 708.2 


9.95 


20 952.2 


8.46 


4 722-06 


8.96 


7 785-36 


9.46 


li 835.9 


9.96 


21 162.8 


8-47 


4 769.52 


8.97 


7 863.60 


9.47 


12 964.9 


9.97 


21375-5 


8.48 


4 817.45 


8.98 


7 942.63 


9.48 


13 095.2 


9.98 


21 590.3 


8.49 


4 865.87 


8 99 


8 022-46 


9.49 


13 226.8 


9.99 


21 807.3 


8-50 


4 914.77 


900 


8 103.08 


950 


13 359.7 


10.00 


22 026-5 



(Continued) 



43 



SPi8-1970 







TABLE 


5B EXPONENTIAL FUNCTIONS (e*) — Co»»W 




X 


e* 


X 


lO"*.** 


P 


X 


10"''.«' 


P 


X 


10"*.«' p 


100 


22 026-8 


15.0 


3.269 02 


6 


200 


4.851 65 


8 


25.0 


7.20049 10 


101 


24 343-0 


151 


3.612 82 


6 


20 1 


5-361 90 


8 


251 


7.957 77 10 


102 


26 903-2 


15-2 


3.992 79 


6 


20-2 


S-925 82 


8 


25.2 


8.794 70 10 


103 


29 732.6 


153 


4.512 71 


6 


20.3 


6-549 04 


8 


25.3 


9.719 64 10 


104 


32 859.6 


15-4 


4-876 80 


6 


204 


7.237 81 


8 


25.4 


1.074 19 11 


10.5 


36 315-5 


155 


5.389 70 


6 


20.5 


7-999 02 


8 


25-5 


1.18716 11 


10-6 


40 134.8 


15.6 


5-956 5 4 


6 


206 


8-840 29 


8 


256 


1.31202 11 


10-7 


44 355-9 


15-7 


6-583 


6 


20-7 


9-770 03 


8 


25.7 


1-450 00 1 1 


10.8 


49 020.8 


15-8 


7.275 33 


6 


20.8 


1.079 76 


9 


25.8 


1.602 50 11 


10-9 


54 176.4 


159 


8.04048 


6 - 


20-9 


1.193 31 


9 


25.9 


1-771 04 11 


110 


59 874-1 


16-0 


8.886 11 


6 


21-0 


1-318 82 


9 


260 


1-957 3 11 


111 


66 171.2 


161 


9.820 67 


6 


21-1 


1.457 52 


9 


26-1 


2.163 15 11 


11-2 


73 130.4 


162 


1.085 35 


7 


213 


1.610 80 


9 


26.2 


2.39065 11 


11-3 


80 821.6 


16-3 


1.199 50 


7 


21.3 


1-780 22 


9 


26.3 


2.64207 11 


114 


89 322.7 


16-4 


1.325 65 


7 


214 


1.967 44 


9 


26.4 


2.91994 11 


115 


98 715-8 


16.5 


1.465 07 


7 


21.5 


2.174 36 


9 


26.5 


3.227 04 11 


11.6 


109 098 


16.6 


1.619 16 


7 


21.6 


2-403 04 


9 


26.6 


356643 11 


11.7 


120 572 


16-7 


1-/89 44 


7 


217 


2-655 77 


9 


26.7 


3.941 51 11 


11.8 


133 252 


16.8 


1.977 64 


7 


21.8 


2.935 08 


9 


26-8 


4.35604 11 


11.9 


147 267 


16.9 


2.185 63 


7 


21-9 


3.243 76 


9 


269 


4.814 17 11 


120 


162 75.5 


170 


2.415 50 


7 


23-0 


3-584 91 


9 


27.0 


5-32048 1 1 


12.1 


179 872 


17-1 


2.669 54 


7 


22.1 


3.961 94 


9 


271 


5.88004 11 


12.2 


198 789 


17.2 


2.95029 


7 


22-2 


4.378 62 


9 


27.2 


6.498 45 11 


123 


219 696 


17-3 


3.260 58 


7 


22.3 


4.839 13 


9 


27.3 


7.18190 11 


12.4 


242 802 


174 


3.603 50 


7 


22-4 


5-348 06 


9 


27-4 


7-937 23 11 


12.5 


268 337 


17-5 


3.982 48 


7 


22.5 


5-910 52 


9 


27-5 


8.77199 11 


12.6 


296 559 


176 


4.401 32 


7 


226 


6.523 14 


9 


27-6 


9.694 55 11 


12-7 


327 748 


17-7 


4-86421 


7 


22-7 


7.219 13 


9 


27-7 


1.07141 12 


12.8 


362 217 


17.8 


5.375 78 


7 


22.8 


7-978 37 


9 


27-8 


1.184 10 12 


12.9 


400 312 


17-9 


5.941 16 


7 


22.9 


8.817 46 


9 


27-9 


1.30863 12 


13.0 


442413 


18.0 


6.566 00 


7 


23.0 


9.744 80 


9 


280 


1-446 26 12 


13.1 


488 942 


181 


7-256 5 5 


7 


23.1 


1.076 97 


10 


28-1 


1.598 36 12 


132 


540 36.5 


18-2 


8.019 73 


7 


23.2 


1.190 23 


10 


28.2 


1-766 46 12 


13.3 


597196- 


183 


8.863 17 


7 


23.3 


1-315 41 


10 


28.3 


1.95224 12 


13-4 


660 003 


18.4 


9.795 32 


7 


234 


.1-453 75 


10 


28.4 


2-157 56 1 2 


13.5 


729 416 


18.5 


1-082 5 5 


8 


23.5 


1.606 63 


10 


28.5 


2.384 48 12 


13.6 


806 130 


18.6 


1.19640 


8 


23.6 


1-775 62 


10 


28.6 


2-635 2 5 12 


13.7 


890 911 


18-7 


1-322 2 3 


8 


23.7 


1.962 36 


10 


28-7 


2.91240 12 


13.8 


984 609 


18-8 


1.461 29 


8 


23.8 


2.168 75 


10 


28.8 


3.218 70 12 


13.9 


1 088 161 


18-9 


1.614 98 


8 


23-9 


2-396 84 


10 


28.9 


3-557 21 12 


140 


1202 604 


190 


1.784 82 


8 


24.0 


2.648 91 


10 


29.0 


3-931 33 11 


141 


1 33.9 083 


19-1 


1.972 53 


3 


24.1 


2.927 50 


10 


29.1 


4-344 80 1 2 


142 


1468 864 


192 


2.179 99 


8 


24.2 


3.235 39 


10 


29.2 


4-801 74 12 


14.3 


1623 346 


19-3 


2-409 2 6 


8 


24.3 


3-575 66 


10 


29.3 


5-306 75 12 


14.4 


1 794 075 


194 


2.662 64 


8 


24-4 


3-951 71 


10 


29.4 


5.864 86 12 


14.5 


1982 759 


19.5 


2.942 68 


8 


24-5 


4.367 32 


10 


29.5 


6-481 6 7 \l 


14.6 


2 191 288 


19.6 


3.252 16 


8 


24-6 


4.826 63 


10 


29-6 


7-163 36 12 


147 


2 421 748 


19-7 


3.594 19 


8 


24-7 


5-334 2.5 


10 


29.7 


7-916 74 12 


148 


2 676 445 


198 


3-972 2 


8 


24.8 


5.895 26 


10 


29-0 


8-749 34 12 


149 


2 957 929 


19-9 


4.389 96 


8 


24.9 


6-515 27 


10 


29-9 


9.669 52 12 


15.0 


3 269 017 


200 


4.851 6.5 


8 


250 


7.200 49 


10 


30.0 


1-0O8 05 15 



(Continued) 



44 



SP:8-1970 



TABLE 5B EXPONEiyfTIAL FUNCTIONS (e") —CorM 



X 


lO'^.e* p 


X 


lO"^.** p 


X 


10"*.e* p 


X 


10^.«* p 


300 


1068 65 13 


35.0 


1.58601 15 


400 


2.353 85 17 


450 


3.49343 19 


301 


1181 04 13 


351 


1.75282 15 


401 


2-601 41 17 


451 


3.86083 19 


30.2 


1-305 25 13 


35.2 


1-937 16 15 


40-2 


2.875 00 17 


45.2 


4.266 88 19 


303 


1 442 52 13 


353 


2.14089 15 


403 


3.177 37 17 


45-3 


4.715 63 19 


304 


1.59424 13 


35.4 


2-366 05 15 


404 


3.511 54 17 


454 


5-211 58 19 


30-5 


1 761 90 13 


35-5 


2.61489 15 


405 


3880 85 17 


45-5 


5.75969 19 


306 


1.94720 13 


35.6 


2.889 90 15 


40.6 


4.289 00 17 


45-6 


6.365 44 19 


30-7 


215199 13 


35-7 


3.193 84 15 


407 


4.740 08 17 


45-7 


7.03490 19 


30-8 


2.378 32 13 


35-8 


3529 74 15 


40-8 


5-238 60 17 


45-8 


7.774 76 19 


30-9 


2.628 45 13 


35-9 


3-900 96 15 


40.9 


5.789 54 17 


45.9 


8.592 44 19 


310 


2-904 88 13 


36.0 


4-311 23 15 


410 


6.398 44 17 


460 


9.496 12 19 


811 


3.21039 13 


36.1 


4.764 65 15 


41 1 


7.071 36 17 


46.1 


1-049 48 20 


31-2 


3.548 04 13 


36.2 


5-265 75 15 


41.2 


7.81507 17 


46-2 


1-15986 20 


313 


3.921 18 13 


36.3 


5.819 55 15 


41.3 


8.636 98 17 


46-3 


1-218 84 20 


31-4 


4.333 58 13 


364 


6-431 60 15 


414 


9-545 34 17 


46-4 


1-416 66 20 


31-5 


4-789 35 13 


36-5 


7.018 02 15 


41.5 


1.05492 18 


46-5 


1 565 64 20 


31.6 


5.293 05 13 


36.6 


7.855 58 15 


416 


1.16587 18 


46.6 


1 730 31 20 


31-7 


5.849 72 13 


36.7 


8.681 75 15 


41-7 


1-288 49 18 


46-7 


1.91228 20 


31-8 


6.464 94 13 


36.8 


9.594 82 15 


418 


1.42400 18 


46.8 


2.113 40 20 


31-9 


7.144 86 13 


36.9 


1.06039 16 


41.9 


1 573 76 18 


469 


2.335 67 20 


32.0 


7.869 30 13 


370 


1 171 91 16 


42.0 


1-739 28 18 


470 


2.58131 20 


32.1 


8.72676 13 


371 


1 295 17 16 


42.1 


1.92220 18 


471 


2-852 79 2 


33-2 


9.644 56 13 


37.2 


1-431 38 16 


42.2 


2.12435 18 


47.2 


3.152 82 20 


32.3 


1-065 89 14 


37-3 


1 581 92 16 


42.3 


2.347 78 18 


47.3 


a-484 41 7P 


324 


1-177 99 14 


37-4 


1 748 29 16 


42-4 


2.594 69 18 


47-4 


3 850 87 20 


32.5 


1-301 88 14 


37.5 


1 932 16 16 


42.5 


2 867 58 18 


475 


4-255 86 20 


32.6 


1-438 80 14 


37.6 


2 135 37 16 


42.6 


3 169 17 18 


47.6 


4-703 46 20 


32.7 


1-590 12 14 


37-7 


2.35994 16 


42.7 


3.50247 18 


47.7 


5 198 13 20 


32.8 


1-757 35 14 


37-8 


2-608 14 16 


42.8 


3 870 83 18 


47-8 


5-744 82 2 


32.9 


1-942 18 14 


379 


2.882 44 16 


42.9 


4.277 93 18 


47.9 


6.349 00 20 


330 


2-146 44 14 


380 


3-185 59 16 


430 


4.727 84 18 


48-0 


7.016 74 20 


331 


2.372 18 14 


38-1 


3-520 62 16 


431 


5.225 07 18 


48.1 


7.754 69 20 


33.2 


2-621 66 14 


38.2 


3-890 89 16 


43.2 


5 774 60 18 


48.2 


8.57026 20 


333 


2.897 38 14 


38-3 


4.300 10 16 


43.3 


6.381 92 '18 


48.3 


9.471 60 20 


334 


3 202 11 14 


38-4 


4-752 3.5 16 


43.4 


7053 11 18 


48-4 


1 046 77 21 


335 


3 538 87 14 


38.5 


5-252 16 16 


43 5 


7.794 89 18 


48-5 


1.15686 21 


336 


3.911 06 14 


38-6 


5.804 53 16 


43.6 


8.61463 18 


48.6 


1-278 53 21 


33-7 


4.322 39 14 


38-7 


6.41500 16 


43-7 


9.52070 18 


48-7 


1 413 00 21 


33-8 


4.77698 14 


38.8 


7.089 67 16 


438 


1-052 20 19 


48-8 


1 561 60 21 


33-9 


5-279 38 14 


38-9 


7-835 30 16 


43-9 


1.16286 19 


48-9 


1-725 84 21 


340 


5.384 62 14 


39.0 


8-659 34 16 


44.0 


1 285 16 19 


49.0 


1-907 35 21 


341 


6448 25 14 


39.1 


9.57005 16 


441 


1-420 32 19 


49 1 


2.107 94 21 


342 


7.12642 14 


39.2 


1057 65 17 


442 


1-569 70 19 


49.2 


2329 64 21 


34.3 


7-875 91 14 


39-3 


1-168 90 17 


44-3 


1.734 78 19 


49-3 


2.57465 21 


34-4 


8.704 23 14 


39-4 


1-291 82 17 


44-4 


1-917 23 19 


49-4 


2.845 43 21 


345 


9-619 66 14 


39-5 


1.42768 17 


44-5 


2-118 87 19 


495 


3-144 68 21 


34-6 


1-063 14 15 


39.6 


1.57784 17 


44-6 


2.34171 19 


496 


3.475 41 21 


347 


1-17495 IS 


39-7 


1.74378 17 


44-7 


2-587 99 19 


49-7 


3-840 92 21 


34.8 


1-298 52 15 


398 


1-927 17 17 


44-8 


2.860 18 19 


49.8 


424488 21 


34.9 


1-435 08 15 


39-9 


2129 85 17 


44.9 


3.16098 19 


49-9 


4-691 32 21 


350 


1-58601 15 


400 


2-353 85 17 


45-0 


3.493 43 19 


50-0 


5 184 71 21 



45 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 



1° (181 


















(358° 


178' 


If 




L. Sin. 


d. 


c. s. 


C.T. 


L.. Tan. 


C .d. 


L. Cot. 


L. Cos. 


/ 


3 600 





8.241 86 


717 
706 
695 
684 


5.314 45 


5.314 38 


8-241 92 


718 
706 
696 
684 


1.758 08 


9.999 93 


60 


3 660 


1 


8.249 03 


5.314 45 


5.314 38 


8.249 10 


1-750 90 


9.999 93 


59 


3 720 


2 


8.256 09 


5.314 45 


5.314 38 


8.256 16 


1.743 84 


9.999 93 


58 


3 780 


3 


8-263 04 


5.314 45 


5.314 38 


8-263 12 


1.736 88 


9.999 93 


57 


3 840 


4 


8-269 88 


5.314 45 


5.314 37 


8-269 96 


1.730 04 


9-999 92 


56 








673 








673 








3900 


5 


8.276 61 


663 
653 
644 
634 


5.314 45 


5.314 37 


8-276 69 


663 
654 
643 
634 


1.723 31 


9.999 92 


55 


3 960 


6 


8-283 24 


5.314 45 


5.314 37 


8.283 32 


1.716 08 


9.999 92 


54 


4 020 


7 


8-289 77 


5.314 45 


5-314 37 


8.289 86 


1.710 14 


9.999 92 


53 


4 080 


8 


8.296 21 


5.314 45 


5.314 37 


8.296 29 


1.703 71 


9.999 92 


52 


4140 


9 


8.302 55 


5.314 45 


5.314 37 


8.302 63 


1.697 37 


9.999 9t 


51 








624 








625 








4200 


10 


8-308 79 


616 
608 
599 
590 


5.314 46 


5.314 37 


8.308 88 


617 
607 
599 
591 


1.691 12 


9.999 91 


50 


4 260 


11 


8-314 95 


5-314 46 


5.314 36 


8.315 05 


1.684 95 


9.999 91 


49 


4 320 


12 


8.321 03 


5.314 46 


5.314 36 


8.321 12 


1.678 88 


9.999 90 


48 


4380 


13 


8.327 02 


5.314 46 


5.314 36 


8.327 11 


1.672 89 


9.999 90 


47 


4 440 


14 


8.332 92 


5.314 46 


5-314 36 


8-333 02 


1.666 98 


9-999 90 


46 








583 








584 








4 500 


IS 


8.338 75 


575 
568 
560 
553 


5-314 46 


5.314 36 


8.338 86 


575 
568 
561 
553 


1.661 14 


9.999 90 


45 


4 560 


16 


8-344 50 


5.314 46 


5.314 35 


8.344 61 


1.655 39 


9-999 89 


44 


4 620 


17 


8-35018 


5.314 46 


5.314 35 


8-350 29 


1.649 71 


9.999 89 


43 


4 680 


18 


8.355 78 


5.314 46 


5.314 35 


8.355 90 


1.644 10 


9.999 89 


42 


4 740 


19 


8.361 31 


5.314 46 


5.314 35 


8.361 43 


1.638 57 


9.999 89 


41 








547 








546 








4 800 


20 


8-366 78 


539 
533 
526 
520 


5.314 46 


5.314 35 


8.366 89 


540 
533 
527 
520 


1.633 11 


9.999 88 


40 


4 860 


21 


8.372 17 


5.314 47 


5.314 34 


8.372 29 


1.627 71 


9.999 88 


39 


4 920 


22 


8.377 50 


5.314 47 


5.314 34 


8.377 62 


1.622 38 


9.999 88 


38 


4 980 


23 


8.382 76 


5.314 47 


5.314 34 


8.382 89 


1.617 11 


9.999 87 


37 


5 040 


24 


8-387 96 


5-314 47 


5.314 34 


8.388 09 


1.61191 


9.999 87 


36 








514 








514 








5 100 


25 


8.393 10 


508 
502 
496 
491 


5.314 47 


5-314 34 


8.393 23 


509 
502 
496 
491 


1-606 77 


9.999 87 


35 


5 160 


26 


8.398 18 


5.314 47 


5.314 33 


8.398 32 


1.601 68 


9.999 86 


34 


5 220 


27 


8-403 20 


5.314 47 


5-314 33 


8.403 34 


1.596 66 


9.999 86 


33 


5 280 


28 


8-408 16 


5.314 47 


5.314 33 


8.408 30 


1591 70 


9.999 86 


32 


5 340 


29 


8.413 07 


5,314 47 


5.314 33 


8.413 21 


1.586 79 


9.999 85 


31 








485 








486 








5 400 


30 


8.417 92 


480 
474 
470 
464 


5.314 47 


5.314 33 


8.418 07 


480 
475 
470 
464 


1.581 93 


9.999 85 


30 


5 460 


31 


8.422 72 


5.314 48 


5.314 32 


8.422 87 


1.577 13 


9.999 85 


29 


5 520 


32 


8.427 46 


5.314 48 


5.314 32 


8.427 62 


1.572 38 


9.999 84 


28 


5 580 


33 


8-432 16 


5.314 48 


5.314 32 


8.432 32 


1.567 68 


9.999 84 


27 


5 640 


34 


8-436 80 


5.314 48 


5.314 32 


8.436 96 


1,563 04 


9.999 84 


26 








459 








460 








5 700 


35 


8.441 39 


455 
450 
445 
441 


5.314 48 


5.314 31 


8.441 56 


455 
450 
446 
441 


1.558 44 


9.999 83 


25 


5 760 


36 


8445 94 


5-314 48 


5.314 31 


8.446 11 


1-553 89 


9.999 83 


24 


5 820 


37 


8.450 44 


5.314 48 


5.314 31 


8-450 61 


1-549 39 


9-999 83 


23 


5 880 


38 


8.454 89 


5.314 48 


5.314 31 


8.455 07 


1.544 93 


9.999 82 


22 


5 940 


39 


8.459 30 


5.314 49 


5.314 31 


8.459 48 


1.540 52 


9.999 82 


21 








436 








437 








6000 


40 


8.463 66 


433 
427 
424 
419 


5.314 49 


5.314 30 


8.463 85 


432 
428 
424 
420 


1.536 15 


9.999 82 


20 


6 060 


41 


8.467 99 


5.314 49 


5.314 30 


8.468 17 


1.531 83 


9-999 81 


19 


6120 


42 


8.472 26 


5.314 49 


5.314 30 


8.472 45 


1.527 55 


9-999 81 


18 


6 180 


43 


8.476 50 


5.314 49 


5.314 30 


8.476 69 


1.523 31 


9-999 81 


17 


6 240 


44 


8.480 69 


5.314 49 


5.314 29 


8.480 89 


1.51911 


9-999 80 


16 








416 








416 








6 300 


45 


8.484 85 


411 
408 
404 
400 


5.314 49 


5.314 29 


8.485 05 


412 
408 
404 
401 


1.514 95 


9.999 80 


15 


6 360 


46 


8.488 96 


5-314 49 


1 5.314 29 


8.489 17 


1-510 83 


9.999 79 


14 


6 420 


47 


8-493 04 


5.314 50 


5.314 28 


8.493 25 


1.506 75 


9.999 79 


13 


6 480 


48 


8.497 08 


5.314 50 


5.314 28 


8.497 29 


1-502 71 


9.999 79 


12 


6 540 


49 


8.501 08 


5.314 50 


5.314 28 


8-501 30 


1.498 70 


9.999 78 


11 








396 








397 








6 600 


50 


8.505 04 


393 
390 
386 
382 


5-314 50 


5.314 28 


8-505 27 


393 
390 
386 

383 


1.494 73 


9.999 78 


10 


6 660 


51 


8.508 97 


5.314 50 


5.314 27 


8-509 20 


1.490 80 


9.999 77 


9 


6 720 


52 


8-512 87 


5-314 50 


5.314 27 


8-513 10 


1.486 90 


9-999 77 


8 


6 7S0 


S3 


8.516 73 


5-314 50 


5.314 27 


8.516 96 


1.483 04 


9.999 77 


7 


6 840 


54 


8.520 55 


5-314 50 


5.314 27 


8-520 79 


1.479 21 


9.999 76 


6 








379 








380 








6 900 


55 


8.524 34 


376 
373 
369 
367 


5.314 51 


5.314 26 


8.524 59 


376 
373 
370 
367 


1-475 41 


9.939 76 


5 


6 960 


56 


8.528 10 


5.314 51 


5.314 26 


8.528 35 


1.471 65 


9.999 75 


4 


7 020 


57 


8-53183 


5.314 51 


5.314 26 


8.532 08 


1.467 92 


9-999 75 


3 


7080 


58 


8.535 52 


5-314 51 


5.314 25 


8.535 78 


1.464 22 


9.999 74 


2 


7 140 


59 


8.539 19 


5.314 51 


5.314 25 


8-539 45 


1.460 55 


9.999 74 


1 








363 








363 








7 200 


60 


8-542 82 


d. 


5.314 51 


5.314 25 


8.543 08 




1.456 92 


9.999 74 







1 


L. COS. 






L. cot. 


c.d. 


L. Tan. 


L. Sin. 


t 



91° (271°) 



(26 88° 



Note — For obtaining the actual logarithmic values, 10 should be deducted from the values in the table. 

(Continued) 



46 





















SP:8- 


1970 






TABLE 6 


LOGARITHMS OF 


TRIGONOMETRIC FUNCTIONS —CcynH 






2° (182") 
















(357") 177» 


(T 


/ 


L. Sin. 


d. 


c.s. 


C.T. 


L. Tan. 


c.d. 


L. cot. 


L. Cos. 


/ 


7200 





8.542 82 


360 
357 
355 
351 


5.314 51 


5-314 2s 


8.543 08 


361 
3.58 
35,5 
352 


1-456 92 


9.999 74 


60 


7 260 


1 


8546 42 


5.314 51 


5-314 25 


8-546 69 


1.453 3i 


9.999 73 


59 


7 320 


2 


8.549 99 


5-314 52 


5-3 14 24 


O-550 27 


1-449 73 


9.999 73 


58 


7 380 


3 


8-553 54 


5.314 52 


5-314 24 


8-:':3 82 


1-446 18 


9.999 72 


57 


7440 


4 


8-557 0.5 


5-314 52 


5-314 24 


8.557 34 


1-442 66 


9.999 72 


56 








349 








349 








7 500 


5 


8.560 54 


346 
343 
341 
337 


5-314 52 


5-314 23 


8.560 83 


346 
344 
341 
338 


1-439 17 


9-999 71 


55 


7 560 


6 


8.564 00 


5-31452 


5-314 23 


8.564 29 


1-435 71 


9-999 71 


54 


7620 


7 


8.567 43 


5.314 52 


5-314 23 


8.567 73 


1-432 27 


9-999 70 


53 


7 680 


8 


8.570 84 


5-314 53 


5-314 22 


8-571 14 


1-428 86 


9-995>70 


52 


7 740 


9 


8.574 21 


5-314 53 


5-314 22 


8.574 52 


1-425 48 


9-999 69 


51 








336 








336 








7 800 


10 


8-577 57 


332 
330 
328 
325 


5-314 53 


5.314 22 


8.577 88 


333 
330 
328 
326 


1-422 12 


9.999 69 


50 


7 860 


11 


8580 89 


5-31453 


5-314 21 


8.581 21 


1-418 79 


9.999 68 


49 


7 920 


12 


8-584 19 


5-314 53 


5-314 21 


8.584 51 


1-415 49 


9.999 68 


48 


7 980 


13 


8.587 47 


5-314 53 


5-314 21 


8.587 79 


1-412 21 


9-999 67 


47 


8040 


14 


8.590 72 


5-314 54 


5-314 21 


8.591 05 


1-408 95 


9-999 67 


46 








323 








323 








8100 


IS 


8.593 95 


320 
318 
316 
313 


5-314 54 


5-314 20 


8.594 28 


321 
319 
316 
314 


1-405 72 


9-999 67 


45 


8 160 


16 


8.597 15 


5-314 54 


5.314 20 


8-597 49 


1-402 51 


9.999 66 


44 


8 220 


17 


8-600 33 


5-314 54 


5.314 20 


8-600 68 


1-399 32 


9.999 66 


43 


8 280 


18 


8.603 49 


5.314 54 


5.314 19 


8.603 84 


1-396 16 


9.999 65 


42 


8 340 


19 


8.606 62 


5.314 54 


5-314 19 


8.606 98 


1-393 02 


9.999 64 


41 








311 








311 








8400 


20 


8-609 73 


309 
307 
305 
302 


5.314 55 


5-314 18 


8.610 09 


310 
307 
305 
303 


1-389 91 


9.999 64 


40 


8 460 


21 


8.612 82 


5-314 55 


5-314 18 


8.613 19 


1-386 81 


9.999 63 


39 


8 520 


22 


8.615 89 


5-314 55 


5-314 18 


8.616 26 


1-383 74 


9.999 63 


38 


8 580 


23 


8.618 94 


5.314 5.5 


5-314 17 


8.619 31 


1-380 69 


9.999 62 


37 


8 640 


24 


8.621 96 


5.314 55 


5.314 17 


8.622 34 


1-377 66 


9.999 62 


36 








301 








301 








8 700 


2,5 


8.624 97 




5-314 55 


5.314 17 


8.625 35 


299 
297 
295 
292 


1.374 6.5 


9.999 61 


35 


8 760 


26 


8.627 95 


298 
296 
294 
293 


5.314 56 


5.314 16 


8.628 34 


1-371 66 


9.999 61 


34 


8 820 


27 


8.630 91 


5-314 56 


5.314 16 


8-631 31 


1.368 69 


9.999 60 


33 


8 880 


28 


8.633 85 


5.314 56 


5.314 16 


8.634 26 


1-365 74 


9.999 60 


32 


8 940 


29 


8.636 78 


5-314 56 


5-314 15 


8.637 18 


1-362 82 


9.999 59 


31 








290 








291 








9 000 


30 


8.639 68 


288 
287 
284 


5.314 56 


5-314 15 


8.640 09 


289 
287 
285 
284 


1-359 91 


9.999 59 


30 


9 060 


31 


8-642 56 


5-314 56 


5.314 15 


8.642 98 


1-357 02 


9-999 58 


29 


9120 


32 


8.645 43 


5.314 57 


5.314 14 


8.645 85 


1-354 15 


9.999 58 


28 


9 180 


33 


8.648 27 


5-314 57 


5-314 14 


8.648 70 


1.351 30 


9.999 57 


27 


9 240 


34 


8.651 10 


283 


5.314 57 


5-314 13 


8.651 54 


1-348 46 


9.999 56 


26 








281 








281 








9 300 


35 


8.653 91 


279 
277 
276 
274 


5.314 57 


5-314 13 


8.654 35 


280 
278 
276 
274 


1-345 65 


9.999 56 


25 


9 360 


36 


8.656 70 


5.314 57 


5-314 13 


8.657 15 


1-342 85 


9.999 55 


24 


9 420 


37 


8.659 47 


5-314 58 


5.314 12 


8.659 93 


1-340 07 


9.999 5.5 


23 


9 480 


38 


8.662 23 


5-314 58 


5-314 12 


8-662 69 


1-337 31 


9-999 54 


22 


9 540 


39 


8.664 97 


s-314 58 


5-314 12 


8-665 43 


1-334 57 


9.999 54 


21 








272 








273 








9 600 


40 


8.667 69 




5-314 58 


5-314 11 


8.668 16 


271 
269 
268 
266 


1-331 84 


9.999 53 


20 


9 660 


41 


8-670 39 


270 
269 


5-314 58 


5.314 11 


8.670 87 


1-329 13 


9.999 52 


19 


9 720 


42 


8.673 08 


5-314 59 


5-314 10 


8-673 56 


1-326 44 


9.999 52 


18 


9 780 


43 


8.675 75 


267 
266 


5-314 59 


5-314 10 


8.676 24 


1.323 76 


9.999 51 


17 


9 840 


44 


8.678 41 


5.314 59 


5-314 10 


8.678 90 


1.321 10 


9.999 51 


16 








263 








264 








9900 


45 


8.681 04 




5-314 59 


5-314 09 


8-681 54 


263 
261 
260 
258 


1-318 46 


9.999 50 


IS 


9 960 


46 


8.683 67 


263 


5-314 59 


5-314 09 


8.684 17 


1-315 83 


9.999 49 


14 


10 020 


47 


8.686 27 


260 
259 
258 


5.314 60 


5.314 08 


8-686 78 


1-313 22 


9.999 49 


13 


10 080 


48 


8-688 86 


5-314 60 


5-314 08 


8-689 38 


1-310 62 


9.999 48 


12 


10 140 


49 


8-691 44 


5-314 60 


5-314 08 


8-691 96 


1-308 04 


9.999 48 


11 








256 








2.57 








10 200 


50 


8.694 00 




5-314 60 


5-314 07 


8.694 53 


255 
254 
252 
251 


1-305 47 


9999 47 


10 


10 260 


51 


8.696 54 


254 


5-314 60 


5-314 07 


8.697 08 


1-302 92 


9.999 46 


9 


10 320 


52 


8.699 07 


253 


5-314 61 


5-314 06 


8.699 62 


1-300 38 


9.999 46 


8 


10 380 


53 


8.701 59 


252 


5-314 61 


5-314 06 


8.702 14 


1-297 86 


9.999 45 


7 


10440 


54 


8-704 09 


230 


5-314 61 


5-314 05 


8-704 65 


1-295 35 


9.999 44 


6 








249 








249 








10 500 


55 


8-706 58 




5-314 61 


5.314 05 


8.707 14 


248 
246 
245 
244 


1-292 86 


9.999 44 


5 


10 560 


56 


8.709 0.5 


247 


5-314 61 


5-314 05 


8-709 62 


1.290 38 


9.999 43 


4 


10 620 


57 


8.711 51 


246 

244 
243 


5-314 62 


5-314 04 


8-712 08 


1-287 92 


9.999 42 


3 


10 680 


58 


8.713 95 


5-3K 62 


5.314 04 


8'714 53 


1-285 47 


9,999 42 
9.999 41 


2 


10 740 


59 


8-716 38 


5-314 62 


5.314 03 


8.716 97 


1-283 03 


1 








242 








243 








10 800 


60 


8.718 80 




5-314 62 


5-314 03 


8-719 40 


c.d. 


1-280 60 


9.999 40 







t 


h. Cos. 


a. 






L. cot. 


L. Tan. 


L. Sin. 


r 


92" (272°) 




(26- 


1") 87" 



47 



{Continued) 



SP: 8 - 1970 



TABLE 



Contd 



93° (273") 



3° (183°) 










(356") 176' 






/ 


L. Sin. 


d. 

240 
239 
238 
237 


L. Tan. 


c.d. 

241 
239 
239 
237 


L. Cot. 


L. COS. 


/ 

iO 


/f 


P.P. 





8.718 80 


8-719 40 


1.280 60 


9.999 40 


I 


21M 2 9M nn 235 234 


1 


8-721 20 


8-721 81 


1-278 19 


9.999 40 


59 


8-0 8-0 7-9 u 3.9 


2 


8-723 59 


8.724 20 


1.275 80 


9.999 39 


38 


3 


12-0 12-0 11-8 IH7.J II77.8 


3 


8-725 97 


8.726 59 


1.273 41 


9.999 38 


57 






4 


8.728 34 


8-728 96 


1-271 04 


9.999 38 


56 


4 


16.1 15-9 15-8 15.7 15.6 






235 




'236 












5 


8-730 69 


234 
232 
232 
230 


8.731 32 


234 
234 
232 
231 


1.268 68 


9.999 37 


55 


5 


201 


6 


8-733 03 


8.733 66 


1.266 34 


9.999 36 


54 


6 


24-1. ZS.9 19.9 23.7191 23.S 191 19! 2U 


7 


8.735 35 


8-736 00 


1-264 00 


9.999 36 


53 


7 


28.1 279 27.6 27-4 27.3 


8 


8-737 67 


8-738 32 


1.261 68 


9.999 35 


52 


8 


32-1 31-9 31-6 31.3 31.2 


9 


8-739 97 


8-740 63 


1.259 37 


9.999 34 


51 


9 


36.2 35.8 35-6 35.2 35.1 






229 




229 










10 


8-742 26 


228 
226 
226 
224 


8.742 92 


229 
227 
226 
225 


1-257 08 


9.999 34 


50 


' 232 229 227 225 223 


11 


8-744 54 


8.745 21 


1-254 79 


9-999 33 


W 


1 


3-9 3-8 3-8 3-8 3.7 


12 


8-746 80 


8-747 48 


1-252 52 


9-999 32 


+8 


2 


7-7 7-6 7-6 7-5 7-4 


13 


8-749 06 


8-749 74 


1.250 26 


9.999 32 


+7 


3 


11-6 11-4 11-4 11-2 11-2 


14 


8-751 30 


8-751 99 


1.248 01 


9.999 31 


46 


4 


15-5 15.3 15.1 15.0 14-9 






223 




224 












15 


8-753 53 


222 
220 
220 
219 


8-754 23 


222 
222 
220 
219 


1-245 77 


9.999 30 


45 


5 


19-3 19.1 18.9 18-8 18.6 


16 


8-755 75 


8.756 45 


1.243 55 


9.999 29 


44 


6 


23.2 22.9 22.7 22.5 22.3 


17 


8-757 95 


8-758 67 


1-241 33 


9.999 29 


43 


7 


271 26.7 26.5 26.2 26.0 


IS 


8-76015 


8-76087 


1.239 13 


9-999 28 


42 


8 


30.9 30.5 303 30.0 29-7 


19 


8.762 34 


8-763 06 


1.236 94 


9-999 27 


41 


9 


34.8 34.4 34.0 33.8 33.4 






217 




219 










20 


8-764 51 


216 
216 
214 
213 


8.765 25 




1.234 75 


9.999 26 


10 


' 222 220 217 215 213 


21 


8-766 67 


8.767 42 


217 
216 


1.232 58 


9.999 26 


39 


1 


3.7 3.7 3.6 3.6 3-6 


22 


8-768 83 


8.769 58 


1.230 42 


9.999 25 


38 


2 


7-4 7-3 7-2 7-2 7-1 


23 


8-770 97 


8.771 73 


215 
214 


1-228 27 


9.999 24 


37 


3 


11-1 110 10-8 10-8 10-6 


24 


8-773 10 


8.773 87 


1.226 13 


9.999 23 


36 


4 


14.8 14.7 14.5 14.3 14.2 






212 




213 












25 


8-775 22 


211 
210 
209 
208 


8-776 00 


211 
211 
210 
209 


1-22400 


9.999 23 


35 


5 


18.5 18.3 18.1 17.9 17-8 


26 


8-777 33 


8-778 11 


1.221 89 


9.999 22 


34 


6 


22.2 22.0 21-7 21-5 21.3 


27 


8.779 43 


8-780 22 


1.219 78 


9.999 21 


33 


7 


25.9 25.7 25.3 25 1 24.8 


28 


8-781 52 


8.782 32 


1-217 68 


9.999 20 


32 


8 


29-6 29-3 28.9 28-7 28.4 


29 


8-783 60 


8.784 41 


1.215 59 


9.999 20 


51 


9 


33-3 33.0 32.6 32-2 32.0 






208 




208 










30 


8-785 68 


206 
205 
204 
203 


8-786 49 


206 
206 
205 
204 


1.213 51 


9.999 19 


W 


' 211 208 206 203 201 


31 


8-787 74 


8-788 55 


1-211 45 


9.999 18 


19 


1 


35 3.5 3.4 3.4 3.4 


32 


8.789 79 


8-790 61 


1-209 39 


9.999 17 


28 


2 


7-0 - 6-9 • 6-9 6-8 6-7 


33 


8.791 83 


8.792 66 


1.207 34 


9.999 17 


27 


3 


10.6 10-4 10-3 10-2 100 


34 


8.793 86 


8.794 70 


1.205 30 


9.999 16 


26 


4 


14-1 13.9 13.7 13.5 13.4 






202 




203 












35 


8.795 88 




8796 73 




1.203 27 


9.999 15 


25 


5 


17-6 17-3 17.2 16.9 16.8 


36 


8.797 89 


201 
201 
199 
199 


8.798 75 


202 
201 
201 
199 


1.201 25 


9.999 14 


24 


6 


21.1 20-8 20.6 20.3 201 


37 


8.799 90 


8-800 76 


1.199 24 


9.999 13 


23 


7 


24.6 24-3 24.0 23.7 23.4 


38 


8-801 89 


8-802 77 


1.197 23 


9.999 13 


22 


8 


28.1 27.7 27.5 27-1 26.8 


39 


8-803 88 


8-804 76 


1.195 24 


9.999 12 


21 


9 


31.6 31.2 30-9 30.4 302 






197 




198 










40 


8.805 85 




8.806 74 




1193 26 


9.999 11 


20 


' 199 197 195 193 192 


41 


8-807 82 


197 
196 
195 
194 


8.808 72 


198 
196 


1 191 28 


9.999 10 


19 


1 


3-3 3-3 3.2 3.2 3.2 


42 


8-809 78 


8.810 68 


1-139 32 


9.999 09 


18 


2 


6-6 6-6 6.5 6-4 6-4 


43 


8,811 73 


8-812 64 


196 
195 


1-187 36 


9.999 09 


17 


3 


10.0 9.8 9.8 9.6 9.6 


44 


8.813 67 


8-814 59 


1.185 41 


9.999 08 


16 


4 


13.3 13.1 13.0 12.9 128 






193 




194 












45 


8-815 60 




8.816 53 


193 


1,183 47 


9.999 07 


15 


5 


16-6 16-4 16.2 161 16.0 


46 


8-817 52 


192 


8-818 46 


1.181 54 


9.999 06 


14 


6 


19.9 19.7 19.5 19.3 19.2 


47 


8-819 44 


192 


8.820 38 


192 


1.179 62 


9,999 05 


13 


7 


23.2 23.0 22.8 22.5 22.4 


48 


8-821 34 


190 


8.822 30 


192 
190 


1-177 70 


9.999 04 


12 


8 


26.5 26.3 26.0 25 7 25.6 


49 


8-823 24 


190 


8.824 20 


1.175 80 


9.999 04 


11 


9 


29.8 29.6 29.2 29.0 288 






189 




190 










50 


8-825 13 




8.826 10 




1.173 90 


9.999 03 


10 


' :3-2 187 185 183 181 


51 


8-827 01 


188 
187 


8.827 99 


189 
188 


1.172 01 


9.999 02 


9 


1 


6-3 1.2 M 6,231 3-0 3-0 


52 


8-828 88 


8.829 87 


1.170 13 


9.999 01 


8 


3^ 


9-4 6-1 60 


53 


8-830 75 


187 


8.831 75 


188 


1-168 25 


9-999 00 


7 


4 


12,6 M 12-5. 12-39.2 9-2 9-0 


54 


8-832 61 


186 
185 


8.833 61 


186 

186 


1.166 39 


9.998 99 


6 




12-2 12-1 


55 


8-834 46 




8-835 47 


185 
184 


1-164 53 


9.998 98 


5 


5 


15.8 15.6 15.4 15.2 15.1 


56 


8-836 30 


184 


8-837 32 


1.162 68 


9-998 98 


4 


6 


18-9 18-7 18-5 18-3 18.1 


57 


8-838 13 


183 


8-839 16 


1160 84 


9.998 97 


3 


7 


22.0 21.8 21.6 21.4 21-1 


58 


8-839 96 


183 


8-841 00 


184 
182 


1.159 00 


9.998 96 


2 


8 


25.2 24.9 24.7 24.4 24-1 


59 


8-841 77 


181 


8-842 82 


1157 18 


9-998 95 


1 


9 


28-4 280 27-8 27-4 27-2 






181 




182 








10 


31.5 31.2 30.8 305 30.2 


60 


8.843 58 


d. 


8-844 64 




1-155 36 


9-998 94 









L. COS. 


L. cot. 


c.d. 


L. Tan. 


L. Sin. 


/ 


P.P. 



(266°) 86° 



48 



(Continued) 



SP: 8 - 1970 



4° (184°) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

1355 ) 175 



- Contd 



L. Sin. 






8.843 58 


1 


8-845 39 


2 


8-847 IS 


3 


8-848 97 


4 


8.850 75 


5 


8.852 52 


6 


8-854 29 


7 


8-856 05 


8 


8.857 SO 


9 


8-859 55 


10 


8.861 28 


11 


8-863 01 


12 


8.864 74 


13 


8.866 45 


14 


8-868 16 


15 


8-869 87 


16 


8.871 56 


17 


8.873 25 


18 


8-874 94 


19 


8.876 61 


20 


8-878 29 


21 


8-879 95 


22 


8-88161 


23 


8-883 26 


24 


8-884 90 


25 


8.886 54 


26 


8.888 17 


27 


8.889 so 


28 


8-891 42 


29 


8-893 04 


30 


8.894 64 


31 


8.896 25 


32 


8-897 84 


33 


8-899 43 


34 


8.901 02 


35 


8-902 60 


36 


8.904 17 


37 


8-905 74 


38 


8-907 30 


39 


8-908 85 


40 


8.910 40 


41 


8.911 95 


42 


8-913 49 


43 


8.915 02 


44 


8.916 55 


45 


8-918 07 


46 


8-919 59 


47 


8-921 10 


4s 


8.922 61 


49 


8-92411 


50 


8.325 61 


51 


8-927 10 


52 


8.928 59 


53 


8.930 07 


54 


8-931 54 


55 


8-933 01 


56 


8.934 48 


57 


8-935 94 


58 


8.937 40 


59 


8-938 85 



8-940 30 



L. COS. 



d. 



181 
179 
179 
178 

177 

177 
176 
175 
175 

173 

173 
173 

171 
171 

171 

169 
169 
169 
167 

168 

166 
166 
165 
164 

164 

163 
163 
162 
162 

160 

161 
159 
159 
159 

158 

157 
157 
156 
155 

155 

155 
154 
153 
153 

152 

152 
151 
151 
150 

150 

149 
149 
148 

147 

147 

147 
146 
146 
145 

145 



94 (274°) 



L. Tan. 

8.844 64 
8-846 46 
8.848 26 
8-850 06 
8-85185 

8-853 63 
8.855 40 
8-857 17 
8-858 93 
8.860 69 

8-862 43 
8-86417 
8.865 91 
8-867 63 
8-869 35 

8-871 06 
8-872 77 

8.874 47 
8-876 16 
8-877 85 

8-879 53 
8-881 20 
8.882 87* 
8-884 53 
8-886 18 

8.887 83 
8.889 48 

8.891 11 

8.892 74 
8-894 37 

8-895 98 

8.897 60 
8.899 20 
8-900 SO 
8-902 40 

8-903 99 
8-905 57 

8.907 15 
8-908 72 

8.910 29 

8.911 85 
8-913 40 
8-914 95 
8.916 50 
8-918 03 

8.919 57 
8-921 10 
8.922 62 
8-924 14 
8-925 65 

8.927 16 

8.928 66 
8.930 16 
8-93165 
8.933 13 

8-934 62 
8-936 09 
8-937 56 

8.939 03 

8.940 49 

8-941 95 
L. cot. 



c.d. 



182 
180 
180 
179 

178 

177 
177 
176 
176 

174 

174 
174 
172 
172 

171 

171 
170 
169 
169 

168 

167 
167 
166 
165 

165 

16.5 
163 
163 
163 

161 

162 
160 
160 
160 

159 

158 
158 
157 
157 

156 

155 
155 
155 
153 

154 

153 
152 
152 

151 

1.51 

150 
150 
149 

148 

149 

147 
147 
147 
146 

146 



L. Cot. 



1.155 36 
1.153 54 
1.151 74 
1-149 94 
1-14815 

1-146 37 
1-144 60 

1.142 83 
1-14107 
1-139 31 

1.137 57 
1.135 83 
1.134 09 
1-132 37 
1.130 65 

1-128 94 
1-127 23 
1.125 53 
1-123 84 

1.122 15 

1.12047 
1-118 so 
1-117 13 
1-11547 
1-11382 

1-11217 
1-11052 

1.108 89 
1-107 26 

1.105 63 

1.104 02 
1-102 40 
1-100 80 
1.099 20 
1-097 60 

1.096 01 
1-094 43 
1-092 85 
1-09128 

1.089 71 

1-08815 
1-086 60 
1-085 05 
1-083 50 
1-08197 

1-08043 
1-078 90 
1.077 38 
1-075 86 
1-074 35 

1.072 84 
1-07134 
1.069 84 
1-068 35 
1.066 87 

1-065 38 
1-063 91 
1-062 44 

1.060 97 
1-059 51 

1-058 05 
L. Tan. 



L. Co.s. 

9-998 94 
9.998 93 
9-998 92 
9-998 91 

9.998 91 

9.998 90 
9-998 89 
9-998 88 
9.998 87 
9-998 86 

9.998 85 
9-998 84 
9-998 83 
9-998 82 
9-998 81 

9-998 80 
9-998 79 
9-998 79 
9.998 78 
9-998 77 

9-998 76 
9-998 75 
9-998 74 
9-998 73 
9.998 72 

9.998 71 
9.998 70 
9-998 69 
9.998 68 
9-998 67 

9.998 66 
9.998 65 
9.998 64 
9.998 63 
9.998 62 

9-998 61 
9.998 60 
9-99^8 59 
9-998 58 
9-998 57 

9-998 56 
9-998 55 
9.998 54 
9-998 53 
9-998 52 

9-998 51 
9-998 50 
9-998 48 
9-998 47 
9-998 46 

9-998 45 
9-998 44 
9.998 43 
9.998 42 
9-998 41 

9.998 40 
9-998 39 
9.998 38 
9.998 37 
9-998 36 

9-998 34 



L. Sin. 



60 


1 


182 


59 


2 


5.1 3-0 


58 






57 


3 


9-1 


56 


4 


12-1 


55 


5 


15.2 


54 


6 


18-2 


53 


7 


21.2 


52 


8 


24-3 


51 


9 


27.3 


50 


« 


176 


49 


1 


2.9 


48 


2 


5-9 


47 


3 


8-8 


46 


4 


11-7 


45 


5 


14.7 


44 


6 


17-6 


43 


7 


20.5 


42 


8 


23-5 


41 


9 


26.4 


40 


" 


171 


39 


1 


^■f 


38 


2 


8-6 


37 


3 




36 


4 


11.4 


35 


5 


14.2 


34 


6 


17-1 


33 


7 


20.0 


32 


8 


22.8 


31 


9 


25.6 



P.P. 



166 
2-8 
5-5 
8.3 
11-1 

13.8 
16-6 
19.4 
22-1 

24.Y 

161 
§-* 
8-0 



13.4 
161 
18-8 

21.5 
24.2 

156 
2.6 
5-2 
7-8 

10.4 

13.0 
15.6 
18-2 
20-8 
23.4 
26-0 



181 
(i'03-0 

9-0 
12-1 

15.1 
18-1 
21-1 

24.1 
27.2 

175 
2.9 



11-7 

14-6 

17.5 
20-4 

23.3 
26.2 

170 

2-8 

J.(8-S 



179 
3-0 
6-0 
90 
11-9 

14-9 
17-9 

20.9 
23.9 
26.8 

174 
2-9 

§^ 
11-6 

14.5 
17.4 
20.3 
23.2 
26.1 

169 
2-8 



178 
3-0 
5-9 
8-9 

11.9 

14-8 
17-8 

20.8 
23.7 
26-7 

173 
2.9 

§-"6 
11-5 

14-4 

17.3 
20-2 
23.1 
260 

168 

2-8 



14-1 
17-0 

19.8 

22.7 
25.5 

165 
2-8 
5.5 
8-2 
11-0 

13-8 

16.5 
19.2 
22.0 
24-8 

160 

2.7 



14-1 

16.9 
19.7 
22.5 
25.4 

164 
2.7 
5.5 
8-2 
10-9 

13-7 

16.4 
19.1 
21.9 
24.6 

159 
2.6 

8-05-3 



14-0 
16-8 
19-6 

22.4 
25.2 

163 
2.7 
5-4 
8-2 
10-9 

13.6 
16-3 

19.0 
21-7 

24.4 

158 
26 

a i.3 



13.3 
16-0 
18-7 
21.3 
24-0 

153 
2.6 

7-"8 
10-3 

12-9 

15.5 
18-1 
20.7 
23.2 
25-8 



13-2 
15-9 
18-6 
21-2 
23-8 

154 
2.6 

7-*7 
10-3 

v.a 

U--4 
18-0 

20.5 
23.1 
25.7 



P.P. 



13-2 
15-8 
18-4 

21.1 
23.7 

153 
2-6 
51 
7-6 
10-2 

12.8 
15-3 
17-8 
20.4 
23-0 
25.5 



177 
3-0 
5-9 
8-8 
11-8 

14-8 

17.7 
20-6 
23-6 

26.6 

172 
2-9 

i-6 

ir-5 

14.3 
17.2 
201 
22-9 

25-8 

167 
2-S 

S4).6 



11-3 11-3 11.2 11.1 



13.9 
16.7 
19.5 
22.3 
25.0 

162 
2.7 
5-4 
8-1 
10-8 

13.5 
16-2 
18-9 
21-6 

24.3 

157 
2.6 

mi 



10-7 10-7 10-6 10-5 10-5 



15.7 
18-3 
20-9 

23.6 

152 
2-5 
5-1 
7-6 

10.1 

12.7 
15.2 
17-7 
20-3 
22-8 
25.3 



(265°) 85° 



49 



(Continued} 



SP: 8 - 1970 



5° (185") 



TABLE 5 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(354") 174" 



Contd 



10 

11 
12 
13. 
14 

15 
16 
17 
18 
19 

20 

21 
22 
23 
24 

2S 
26 
27 
28 
29 

30 

31 
32 
33 
34 

35 
36 
37 
38 
39 

40 
41 
42 
43 
44 

45 
46 
17 
48 
49 

50 

51 
52 
53 
54 

55 
56 
57 
58 
59 

60 



L. Sin. 



8.940 30 

8.941 74 
8-943 17 
S-^4 61 
8-946 03 

8.947 46 

8.948 87 

8.950 29 

8.951 70 
8-953 10 

8-9S4 50 
8.955 89 
8.957 28 
8-958 67 

8.960 05 

8.961 43 

8.962 80 

8.964 17 

8.965 53 

8.966 89 

8.968 25 

8.969 60 
8-970 95 

8.972 29 

8.973 63 

8.974 96 

8.976 29 

8.977 62 

8.978 94 
8-980 26 

8.981 57 

8.982 88 

8.984 19 

8.985 49 

8.986 79 

8.988 08 

8.989 37 
8990 66 
8.991 94 
8.993 22 

8-994 50 
8-995 77 

8.997 04 

8.998 30 

8.999 56 

9-000 82 

9.002 07 

9.003 32 

9004 56 

9005 81 

9.007 04 
9-008 28 
9009 51 
9-010 74 
9.011 96 

9013 18 

9.014 40 

9.015 61 

9.016 82 
9-018 03 

9.019 23 



L. COS. 



144 
143 
144 
142 

143 

141 
142 
141 
140 

140 

139 
139 
139 
138 

138 

137 
137 
136 
136 

136 

135 
135 
134 
134 

133 

133 
133 
132 
132 

131 

131 
131 
130 
130 

129 

129 
129 
128 
128 

128 

127 
127 
126 
126 

126 

125 
125 
124 
125 

123 

124 
123 
123 
122 

122 

122 
121 
121 
121 

120 



L. Tan. 



8.941 9.5 
8.943 40 
8-944 85 
8-940 63 
8.947 73 

8.949 17 
8-950 60 
8-952 02 
8-95^1 44 
8-954 86 

8.956 27 

8.957 67 
8.959 08 
8-960 47 
8-961 87 

8.963 25 
8-964 64 
8-966 02 
8-967 39 
8-968 J7 

8-970 13 

8.971 50 

8.972 85 

8.974 21 

8.975 56 

8-976 91 
8-978 25 
8-979 59 
8-980 92 
8-982 25 

8.983 58 

8.984 90 

8.986 22 

8.987 53 

8.988 84 

8.990 15 
8-991 45 
8.992 75 

8.994 05 

8.995 34 

8-996 62 
8-997 91 
8.999 19 
9-000 46 
9-001 74 

9.003 01 
9004 27 
9-005 53 
9-006 79 
9.008 OS 

9-009 30 
9.010 55 
9-011 79 
9-013 03 
9.014 27 

9015 50 
9-016 73 
9.017 96 

9.019 18 

9.020 40 

9-021 62 




c.d. 



145 
145 
145 
143 

144 

143 
142 
142 
142 

141 

140 
141 
139 
140 

138 

139 
138 
137 
138 

136 

137 
135 
136 
135 

135 

134 
134 
133 
133 

133 

132 
132 
131 
131 

131 

130 
130 
130 
129 

128 

129 
128 
127 
128 

127 

126 
126 
126 
126 

125 

125 
124 
124 
124 

123 
123 
122 
122 

122 



L. cot. 



1-058 OS 
1056 60 
1-055 IS 
1053 70 
1-052 27 

1.050 83 
1-049 40 
t-047 98 
1-046 56 
1045 14 

1-043 73 
1-042 33 
1-040 92 
1-039 53 
1.038 13 

1-036 75 
1-035 36 
1-033 98 
1032 61 
1-03123 

1.029 87 
1-028 50 
1-027 1.5 
1-025 79 
1-024 44 

1023 09 
1-021 75 
1-020 41 
1-019 08 
1017 75 

1-016 42 
1-01510 
1-013 78 
1-012 47 
1-011 16 

1009 8.5 
1.008 55 
1-007 25 
1-005 95 
1-004 66 

1.003 38 
1002 09 
1-000 81 
0.999 54 
0-998 26 

0-996 99 
0-995 73 
0-994 47 
0.993 21 
0.991 95 

0.990 70 
0.989 45 
0.988 21 
0.986 97 
0-985 73 

0-984 50 
0-983 27 
0.982 04 
0-980 82 
0-979 60 

0-978 38 



L. Tan. 



L. Cos. 



9-998 34 
9.998 33 
9.998 32 
9.998 31 
9-998 30 

9-998 29 
9-998 28 
9.998 27 
9.998 25 
9.998 24 

9-998 23 
9-998 22 
9-998 21 
9-998 20 
9«98 19 

9-998 17 
9-998 16 
9-998 15 
9-998 14 
9-998 13 

9-998 12 
9-998 10 
9-998 09 
9-998 08 
9-998 07 

9-998 06 
9-998 04 
9-998 03 
9-998 02 
9-998 01 

9.998 00 
9.997 98 
9.997 97 
9-997 96 
9-997 95 

9.997 93 
9.997 92 
9-997 91 
9-997 90 
9-997 88 

9-997 87 
9-997 86 
9.997 85 
9.997 83 
9.997 82 

9.997 81 
9.997 80 
9.997 78 
9.997 77 
9.997 76 

9.997 75 
9.997 73 
9.997 72 
9.997 71 
9-997 69 

9.997 68 
9.997 67 
9.997 65 
9.997 64 
9.997 63 

9-997 61 



L. Sin. 



f 


P.P. 


>0 


*■ 


151 


149 


148 


147 


14fe 


i9 


1 


2.5 


2-5 


2.5 


2.4 


24 


i8 


2 


5-0 


5-0 








i7 


3 


m 


7-4 


UH 


«W 


♦■9?'3 


>6 


4 


9.9 


9.9 


9.8 


9.7 


is 


5 


(2-6 


12.4 


12.3 


12.2 


12-2 


i4 


6 


15-1 


14.9 


14-8 14-7 


14.6 


)3 


7 


17-6 


17.4 


17-3 


17.2 


170 


>2 


8 


20-1 19-9 19-7 19.6 


19.5 


51 


9 


22.6 


22.4 


22.2 


22-0 21-9 


SO 


<r 


145 


144 


143 


142 


141 


t9 


1 


2-4 


2-4 


?l*8 


2-4 


2-4 


(8 


2 


4-8 


4-8 


4-7 


4-7 


\n 


3 


7-2 


7.2 


7-2 7-1 


7-0 


f6 


4 


9.7 


9-6 9-S 


95 


94 


45 


5 


12.1 


12.0 


11-9 


11.8 


11-8 


44 


6 


14-5 


14.4 


14-3 14-2 


141 


43 


7 


16.9 


16.8 


16.7 


16-6 


16.4 


42 


8 


19.3 


19.2 


19.1 


18.9 


18-8 


41 


9 


21-8 21-6 21.4 21.3 


21.2 


to 


» 


m 


m 


m 


]2-3 


136 


}9 

38 
37 


2 
3 


4-7 


4-6 


4-6 


4-6 


4'iM 


7-0 


7-0 


6-9 


6-8 


6-8 


36 


4 


>3 


9-3 


9-2. 


91 


9-1 


35 


5 


11.7 


11-6 


11-5 


11.4 


11.3 


34 


6 


14.0 


53.9 


13.8 


13.7 


13.6 


33 


7 


16.3 


1^-2 


16.1 


16-0 


15-9 


32 


8 


18.7 


18-^ 


18.4 


18.3 


181 


31 


9 


21.0 


20.8 


20.7 


20-6 


20.4 


30 


. 


¥-5 


yi 


w 


132 


131 


29 


1 


4-5 


4-5 


M'2'J 


2.2 


2-2^ 


28 


2 








4-4 


4-4 


27 


3 


6-8 






^-6 


6-6 


26 


4 


9-0 


1.7 1.9 


«!.! 


8-8 


8-7 


25 


5 


11-2 


11-2 


Ml 


11-0 


10-9 


24 


6 


13.5 


13.4 


13.3 


13.2 


13-1 


23 


7 


15.8 


15-6 


15.5 


15.4 


15-3 


22 


8 


18.0 


17.9 


17-7 


17-6 


17-5 


21 


9 


20.2 


20-1 


20.0 


19.8 


19.6 


30 


• 


ISO 


129 


128 


127 


126 


19 


1 


u 


U 


2-1 


2-1 


2-1 


18 


2 


4-3 


4-2 


4-2 


17 


3 


6-5 


6-4 


6-4 






16 


4 


8-7 


8-6 


8-5 


UI.S 


E.3U 


15 


5 


10-8 


10-8 


10-7 


10-6 


10-5 


14 


6 


13.0 


12.9 


12-8 


12.7 


12.6 


13 


7 


15-2 


15.0 


14.9 


14.8 


14.7 


12 


8 


17.3 


17.2 


17.1 


16.9 


16.8 


11 


9 


19.5 


19-4 


19.2 


19-0 


18.9 


10 





125 


124 


123 


122 


121 


5 


1 






2-0 






S 


2 


12 2.1 


HU 


4-1 


km 


im 


7 


3 


6.2 


6.2 


6-2 


6-1 


60 


6 


4 


8.3 


8.3 


8.2 


8-1 


8.1 


; 


5 


10.4 


10.3 10-2 10-2 10-1 


\ 


6 


12.5 


12.4 


12.3 12-2 121 


3 


7 


14.6 


14.5 


14.4 


14.2 


14-1 


2* 


8 


16.7 


16.5 


16.4 


16.3 


16-1 


1 


9 


18.8 


18.6 


18-4 


18.3 


18-2 





10 


20-8 


20-7 


20-S 


20-3 


20-2 


f 








P.P. 







95" (275") 



(264') 84* 



50 



{pontinuei\ 



SP:8-1'70 



«" (186 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(353°) 173" 



Contd 



r 


L.ain. 


d. 

120 
120 
120 
119 


L. Tan. 


C d . 

121 
121 

121 
120 


L. Cot. 


L. Cos. 


r 


P. I". 





9019 23 


9-021 62 


0.978 38 


9-997 61 


60 


# 


121 


120 


119 


118 


1 


9-020 43 


9-022 83 


0-977 17 


9.997 60 


59 


1 


2-0 


2-0 


2-0 


2-0 


2 


9 02163 


9-024 04 


0-975 96 


9.997 59 


58 


2 


4-0 


4-0 


4-0 


3-9 


3 


9.022 83 


9025 25 


0.974 75 


9.997 57 


57 


3 


6-0 


6-0 


6-0 


5-9 


4 


9024 02 


9-026 45 


0.973 55 


9.997 56 


56 


4 


8-1 


8-0 


7.9 


7.9 






118 




121 


















5 


9-025 20 


119 
118 
117 
118 


9027 66 


119 
120 
119 
118 


0-972 34 


9.997 55 


55 


5 


10-1 


10.0 


9-9 


9-8 


6 


9-026 39 


9-028 8.5 


0.971 15 


9.997 53 


54 


6 


12-1 


12.0 


11-9 


11-8 


7 


9.027 57 


9.030 05 


0.969 95 


9-997 52 


53 


7 


14-1 


14-0 


13-9 


13.8 


8 


9.028 74 


9-03124 


0-968 76 


9-997 51 


52 


8 


16.1 


16.0 


15.9 


15-7 


9 


9-029 92 


9.032 42 


0-967 58 


9.997 49 


51 


9 


18.2 


18-0 


17-8 


17.7 






117 




119 


















10 


9.031 09 


117 
116 
116 
116 


9-033 61 


118 
118 
117 
118 


0.966 39 


9.997 48 


50 


10 


20.2 


20-0 


19-8 


19.7 


11 


9032 26 


9-034 79 


0-965 21 


9.997 47 


49 


20 


40.3 


40.0 


39-7 


39.3 


12 


9.033 42 


9-035 97 


0.964 03 


9.997 45 


48 


30 


60-5 


60-0 


59.5 


59-0 


13 


9.034 58 


9-037 14 


0-962 86 


9.997 44 


47 


40 


80.7 


80-0 


79.3 


78.7 


1* 


9035 74 


9.038 32 


0-961 68 


9.997 42 


46 


50 


100-8 


100-0 


99.2 


98-3 






116 




116 


















15 


9.036 90 


115 
115 
114 
115 


9.039 48 


117 
116 
116 
116 


0.960 52 


9,997 41 


45 


It 


117 


116 


115 


114 


16 


9.038 05 


9.040 6.5 


0-959 35 


9-997 40 


H 


1 


2-0 


1-9 


1-9 


I-'.' 


17 


9.039 20 


9.041 81 


0-958 19 


9-997 38 


43 


2 


3.9 


3.9 


3-8 


3-8 


18 


9-040 34 


9.042 97 


0.957 03 


9-997 37 


42 


3 


5-8 


5-8 


5-8 


5-7 


19 


9.041 49 


9-044 13 


0.955 87 


9.997 36 


41 


4 


7.8 


7-7 


7-7 


7-6 






113 




115 


















20 


9-042 62 


114 
114 
113 
112 


9-045 28 


115 
115 
115 
114 


0.954 72 


9-997 34 


40 


5 


9-8 


9.7 


9-6 


9-5 


21 


9-043 76 


9.046 43 


0-953 57 


9-997 33 


39 


6 


11-7 


11.6 


11-5 


11-4 


22 


9-044 90 


9-047 58 


0-952 42 


9.997 31 


38 


7 


13.6 


13.5 


13-4 


13-3 


23 


9.046 03 


9-048 73 


0.951 27 


9.997 30 


37 


8 


15-6 


15.5 


15.3 


15-2 


24 


9.047 15 


9-049 87 


0.950 13 


9.997 28 


36 


9 


17.6 


17.4 


17.2 


17-1 






113 




114 


















25 


9.048 28 


112 
112 


9-05101 


113 
114 


0.948 99 


9.997 27 


35 


10 


19-5 


19.3 


19.2 


19-0 


26 


9.049 40 


9-052 14 


0.947 86 


9.997 26 


34 


20 


390 


38.7 


38.3 


38-0 


27 


9.050 52 


9.053 28 


0-946 72 


9.997 24 


33 


30 


58-5 


58.0 


57-5 


57.0 


38 


9.051 64 


112 

111 


9.054 41 


113 
112 


0.945 59 


3.997 23 


32 


40 


78-0 


77.3 


76.7 


76.0 


29 


9.052 75 


9-055 53 


0.944 47 


9.997 21 


31 


50 


97.5 


96.7 


95.8 


95-0 






111 




113 


















30 


9.053 86 


111 
110 
110 
110 


9-056 66 


112 
112 
112 

111 


0.943 34 


9.997 20 


30 


u 


113 


112 


111 


110 


31 


9-054 97 


9-057 78 


0-942 22 


9.997 18 


29 


1 


1-9 


1-9 


1-8 


1-8 


32 


9-056 07 


9-058 90 


0.941 10 


9.997 17 


28 


2 


3.8 


3.7 


3-7 


3.7 


33 


9.057 17 


9.060 02 


0-939 98 


9.997 16 


27 


3 


5.6 


5.6 


5-6 


5.5 


34 


9-058 27 


9-061 13 


0-938 87 


9.997 14 


26 


4 


7-5 


7.5 


7-4 


7.3 






no 




111 


















35 


9-059 37 


109 
109 
109 

108 


9.062 24 




0.937 76 


9.997 13 


25 


5 


9-4 


9-3 


9-2 


9-2 


36 


9-060 46 


9.063 35 


111 
110 


0-936 65 


9.997 11 


24 


6 


11-3 


11.2 


11-1 


no 


37 


9-061 55 


9-064 45 


0-935 55 


9.997 10 


23 


7 


13-2 


13.1 


13.0 


12-8 


38 


9-062 64 


9-065 56 


111 
110 


0-934 44 


9.997 08 


22 


8 


15-1 


14-9 


14.8 


14-7 


39 


9-063 72 


9.066 66 


0.933 34 


9-997 07 


21 


9 


170 


16-8 


16.6 


16-5 






109 




109 


















40 


9-064 81 


108 
107 
108 


9-067 75 


110 
109 
109 


0-932 25 


9.997 05 


20 


10 


18.8 


18-7 


18-5 


18-3 


41 


9.065 89 


9.068 85 


0.931 15 


9-997 04 


19 


20 


37.7 


37.3 


37-0 


36.7 


42 


9.066 96 


9-069 94 


0-930 06 


9.997 02 


18 


30 


56.5 


56-0 


55.5 


55-0 


43 


9-068 04 


9-071 03 


0-928 97 


9.997 01 


17 


40 


75.3 


74.-7 


74.0 


73-3 


44 


9-069 11 


107 
107 


9-072 11 


108 
109 


0-927 89 


9.996 99 


16 


50 


94-2 


93.3 


92.5 


91.7 


45 


9.070 18 


106 
107 
106 
105 


9-073 20 




0.926 80 


9.996 98 


15 


tf 


109 


108 


107 


106 


46 


9-071 24 


9-074 28 


108 
108 
107 
108 


0-925 72 


9.996 96 


14 


1 


1.8 


1-8 


1-8 


t-8 


47 


9-072 3 1 


9.075 36 


0-924 64 


9-996 95 


13 


2 


3.6 


3-6 


3-6 


3-> 


48 


9.073 37 


9-076 43 


0-923 57 


9-996 93 


12 


3 


5.4 


5.4 


5-4 


5-S 


49 


9.074 42 


9.077 51 


0.922 49 


9-996 92 


11 


4 


7-3 


7.2 


7-1 


7-1 






106 




107 


















50 


9.075 48 




9-078 58 




0-921 42 


9.996 90 


10 


5 


9-1 


9-0 


8-9 


8-8 


51 


9-076 53 


105 
105 
105 
105 


9-079 64 


106 


0-920 36 


9.996 89 


9 


6 


10-9 


10-8 


10-7 


10.6 


52 
53 


9.077 58 

9.078 63 


9-080 71 

9.081 77 


107 
106 


0-919 29 

0.918 23 


9-996 87 
9.996 86 


8 

7 


7 
8 


12-7 
14-5 


12.6 
14.4 


12-5 
14-3 


12.4 
14-1 


54 


9.079 68 


9.082 83 


106 


0-917 17 


9.996 84 


6 


9 


16.4 


16.2 


16-0 


15.9 






104 




106 


















55 


9.080 72 


104 
104 

103 
133 


9.083 89 


106 


0.916 11 


9.996 83 


5 


10 


18-2 


;8-o 


17-8 


17.7 


56 


9.081 76 


9.084 95 


0-915 05 


9.996 81 


4 


20 


36.3 


3)0 


35.7 


35-9 


57 


9.082 80 


9-086 00 


105 
105 


0.914 00 


9 996 80 


3 


30 


54.5 


54-0 


53-5 


53-0 


58 


9.083 83 


9-087 OS 


0.912 95 


9.996 78 


2 


40 


72.7 


72.0 


71-3 


70.7 


59 


9.084 86 


9.088 10 


105 


0.911 90 


9.996 77 


1 


50 


90.8 


90.0 


89.2 


88.3 






103 




104 


















60 


9.085 89 


d. 


9.089 14 




0.910 86 


9.996 75 




f 














L. Cos. 


L. cot. 


c.d. 


L. Tan. 


L. Sin. 


P.P. 



96 (276 ) 



(263°) 83° 



51 



(ConiJK!<ei) 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Confd 

^352°) 172° 



7 (187 ) 





J. Sin. 
9085 89 


d, 


L. Tan. 


c.d. 


L. Cot. 


L- Cos. 





103 
103 
102 
102 


9-089 14 


105 
104 
104 
103 


0-910 86 


9,996 75 


1 


9086 92 


9-090 19 


0.909 81 


9.996 74 


2 


9-087 95 


9-091 23 


0-908 77 


9.996 72 


3 


9.088 97 


9092 27 


0-907 73 


9-996 70 


4 


9.089 99 


9-093 30 


0-906 70 


9-996 69 






102 




104 






5 


9.091 01 


101 
102 
101 

101 


9-094 34 


103 
103 
102 
103 


0-905 66 


9-996 67 


6 


9.092 02 


9095 37 


0-904 63 


9.996 66 


7 


9 093 04 


9096 40 


0-903 60 


9.996 64 


8 


9.094 05 


9097 42 


0-902 58 


9.996 63 


9 


9.095 06 


9-098 45 


0-901 55 


9-996 61 






100 




102 






10 


9.096 06 


101 

100 

100 

99 


9-099 47 


102 
101 
102 
101 


0-900 53 


9-996 59 


11 


9-097 07 


9100 49 


0-899 51 


9.996 5C 


12 


9-098 07 


9101 50 


0-898 50 


9.996 56 


13 


9.099 07 


9-102 52 


0.897 48 


9.996 55 


14 


9.100 06 


9103 53 


0-896 47 


9.996 53 






100 




101 






IS 


9-101 06 


99 
99 
98 

99 


9.104 54 


101 
101 

100 
100 


0-895 46 


9.996 51 


16 


9-102 05 


9.105 55 


0.894 45 


9.996 50 


17 


9-103 04 


9-106 56 


0-893 44 


9.996 48 


18 


9104 02 


9.107 56 


0-892 44 


9.996 47 


19 


9105 01 


9.108 56 


0-891 44 


9.996 45 






98 




100 






20 


9-105 99 


98 
98 
98 
97 


9.109 56 


100 
99 
99 

99 


0.890 44 


9.996 43 


21 


9-106 97 


9-110 56 


0-889 44 


9.996 42 


22 


9-107 95 


9-11155 


0-888 4.5 


9-996 40 


23 


9-108 93 


9-112 54 


0.887 46 


9.996 38 


24 


9-109 90 


9-113 53 


0.886 47 


9.996 37 






97 




99 


' 




25 


9-110 87 


97 
97 

96 

97 


9.114 52 


99 
98 

98 
98 


0-885 48 


9.996 35 


26 


9-11184 


9-115 51 


0.884 49 


9.996 33 


27 


9.112 81 


9.116 49 


0.883 51 


9.996 32 


28 


9.113 77 


9.117 47 


0-882 53 


9.996 30 


29 


9-114 74 


9.118 45 


0.881 55 


9.996 29 






96 




98 






30 


9-115 70 


96 
95 
96 
95 


9.119 43 


97 
98 

97 
97 


0.880 57 


9-996 27 


31 


9-U6 66 


9120 40 


0-879 60 


9.996 25 


32 


9.117 61 


9-12138 


0-878 62 


9.996 24 


33 


9.118 57 


9-122 35 


0.877 65 


9.996 22 


34 


9.119 52 


9.123 32 


0.876 68 


9.996 20 






95 




96 






35 


9120 47 


95 
94 
95 
94 


9.124 28 


97 
96 
96 

96 


0-875 72 


9.996 18 


36 


9-12142 


9125 25 


0-874 75 


9.996 17 


37 


9.122 36 


9-12621 


0-873 79 


9.996 15 


38 


9.123 31 


9.127 17 


0-872 83 


9.996 13 


39 


9.124 25 


9.128 13 


0-871 87 


9.996 12 






94 




96 






40 


9-125 19 


93 
94 
93 
93 


9.129 09 


95 
95 
95 
95 


0-870 91 


9.996 10 


41 


9-126 12 


9.130 04 


0-869 96 


9.996 08 


42 


9.127 06 


9.130 99 


0.869 01 


9-996 07 


43 


9.127 99 


913194 


0.868 06 


9-996 05 


44 


9-128 92 


9.132 89 


0.867 11 


9.996 03 






93 




95 






45 


9.129 85 


93 
93 
92 
92 


9.133 84 


94 
95 
94 
94 


0-866 16 


9.996 01 


46 


9-130 78 


9-134 78 


0-865 22 


9.996 00 


47 


9.131 71 


9.135 73 


0.864 27 


9.995 98 


48 


9.132 63 


9.136 67 


0-863 33 


9.995 96 


49 


9.133 55 


9.137 61 


0.862 39 


9.995 95 






92 




93 






50 


9.134 47 


92 
91 
92 
91 


9-138 54 


94 
93 
93 
93 


086146 


9-995 93 


51 


9-135 39 


9-139 48 


0.860 52 


9-995 91 


52 


9.136 30 


9.140 41 


0-859 59 


9.995 89 


53 


9.137 22 


9.141 34 


0-858 66 


9-995 88 


54 


913813 


9.142 27 


0-857 73 


9.995 86 






91 




93 






55 


9.139 04 


90 
91 
90 

91 


9.143 20 


92 
92 
93 
91 


0-856 80 


9-995 84 


56 


9.139 94 


9-144 12 


0-855 88 


9 995 82 


57 


9.140 8\S 


9.145 04 


0-854 96 


9.995 81 


58 


9-141 79 


9-145 97 


0-854 03 


9.995 79 


59 


9.142 66 


9.146 88 


0.853 12 


9,995 77 






90 




92 






60 


9.143 56 




9-147 80 




0.852 20 
L. Tan. 


9-995 75 


' 


L. Cos. 


d. 


L. Cot. 


c.d. 


L. Sin. 



/■ 


p.p. 


>0 


* 


105 


104 


103 


102 


(9 


1 


1-8 


1-7 


1-7 


1-7 


i8 


2 


3-5 


3-5 


3-4 


3-4 


>7 


3 


5-2 


5-2 


5-2 


5-1 


;6 


4 


7-0 


6-9 


6-9 


6-8 


)5 


5 


8.8 


8-7 


8-6 


8-5 


i4 


6 


10-5 


10-4 


10-3 


10-2 


53 


7 


12.2 


12-1 


12.0 


11.9 


>2 


8 


14.0 


13.9 


13.7 


13.6 


;i 


9 


15-8 


15.6 


15-4 


15.3 


>0 


10 


17-5 


17.3 


17.2 


17-0 


t9 


20 


35-0 


34-7 


34.3 


34-0 


i& 


30 


525 


52-0 


51-5 


51-0 


f7 


40 


70-0 


69.3 


68.7 


680 


[6 


50 


87-5 


86.7 


85-8 


85-0 


ts 


/f 


101 


100 


99 


98 


14 


1 


1-7 


1-7 


1-6 


1-6 


13 


2 


3-4 


3-3 


3-3 


3-3 


U 


3 


5-0 


5-0 


50 


4.9 


n 


4 


6-7 


6.7 


6-6 


6.5 


LO 


5 


8.4 


8-3 


8.2 


8.2 


39 


6 


10-1 


10-0 


9-9 


9-8 


38 


7 


11.8 


11.7 


11-6 


11-4 


37 


8 


13.5 


13.3 


13.2 


13.1 


36 


9 


15.2 


15.0 


14-8 


14-7 


35 


10 


16.8 


16.7 


16.5 


16-3 


34 


20 


33.7 


33.3 


33.0 


32.7 


33 


30 


SO-5 


50.0 


49-5 


490 


32 


40 


67.3 


66-7 


66-0 


65.3 


31 


50 


84.2 


83.3 


82.5 


81.7 


30 


» 


97 


96 


95 


94 


29 


1 


1-6 


1-6 


1-6 


1-6 


28 


2 


3-2 


3-2 


3-2 


3-1 


27 


3 


4.8 


4.8 


4-8 


4-7 


26 


4 


6.5 


6-4 


6-3 


6-3 


25 


5 


8-1 


8-0 


7.9 


7.8 


24 


6 


9-7 


9.6 


9-5 


9.4 


23 


7 


11.3 


11-2 


11-1 


11.0 


22 


8 


12.9 


12.8 


12.7 


12.5 


21 


9 


14-6 


14-4 


14.2 


14.1 


20 


10 


16.2 


16.0 


15.8 


15.7 


19 


20 


32.3 


32.0 


31.7 


31-3 


18 


30 


48.5 


48.0 


47-5 


47-0 


17 


40 


64.7 


64-0 


63.3 


62.7 


16 


50 


80.8 


80-0 


79.2 


78.3 


15 


» 


93 


42 


91 


90 


14 


1 


1-6 


1-5 


1-5 


1-5 


13 


2 


31 


3-1 


3 


30 


12 


3 


4.6 


4-6 


4-6 


4-5 


11 


4 


6.2 


61 


6.1 


6.6 


10 


5 


7-8 


7.7 


7-6 


7-5 


9 


6 


9-3 


9-2 


9-1 


90 


8 


7 


10-8 


10.7 


10-6 


10.5 


7 


8 


12-4 


12-3 


12.1 


12-0 


6 


9 


14.0 


13-8 


13-6 


13.5 


5 


10 


15.5 


15.3 


15-2 


150 


4 


20 


31.0 


30.7 


30.3 


30.0 


3 


30 


46-5 


46.0 


45-5 


45 


2 


40 


62-0 


61.3 


60.7 


60.0 


1 



50 


77-5 


76.7 


75-8 


75-0 


r 


P.P. 



97* (277 ) 



(262 ) 82° 



52 



(Continued) 



SP:8- 1970 







TABLE 


6 LOGARITHMS 


OF TRIGONOMETRIC FUNCTIONS —.Contd 






8' (188°) 










(351") 171' 










r 


L. Sin. 


d. 


L. Tan. 


cd. 


L.-Cot. 


L. Coe. 




P.P. 





9-143 56 


89 
90 
89 
90 


9.147 80' 


92 
91 
91 
91 


0-852 20 


9.995 75 


60 


* 


92 


91 


90 


1 


9-144 45 


9-148 72 


0-851 28 


9.995 74 


59 


1 


1-5 


1-5 


1-5. 


2 


9-145 3.5 


9.149 63 


0850 37 


9.995 72 


58 


2 


3-1 


3-0 


3-0 


3 


9- 146 24 


9-150 54 


0-849 46 


9.995 70 


57 


3 


4-6 


4-6 


4-5 


4 


9-147 14 


915145 


0-848 55 


9-995 68 


56 


4 


6-1 


6-1 


6-0 






89 




91 
















5 


9-148 03 


88 
89 
89 
88 


9.152 36 


91 
90 
91 
90 


0-847 64 


9-995 66 


55 


5 


7-7 


7-6 


7-5 


6 


9-148 91 


9.153 27 


0-846 73 


9.995 65 


54 


6 


9-2 


9-1 


9-0 


7 


9-149 80 


9-154 17 


0.845 83 


9.995 63 


53 


7 


10-7 


10.6 


10-5 


8 


9-150 69 


9.155 08 


0-844 92 


9-995 61 


52 


8 


12-3 


12-1 


12.0 


9 


9151 57 


9-155 98 


0-844 02 


9-995 59 


51 


9 


13.8 


13-6 


13.5 






88 




90 
















10 


9.152 45 


88 
88 
87 
88 


9.156 88 


89 
90 
89 
90 


0-843 12 


9-995 57 


50 


10 


lS-3 


15-2 


15-0 


11 


9-153 33 


9.157 77 


0-842 23 


9.995 56 


49 


20 


30.7 


30-3 


30-0 


12 


9.154 21 


9.158 67 


0-84J 33 


9-995 54 


48 


30 


460 


45.5 


45.0 


13 


9.155 08 


9.159 56 


084044 


9-995 52 


47 


40 


61.3 


60-7 


60-0 


14 


9.155 96 


9.160 46 


0-839 54 


9.995 50 


46 


50 


76.7 


75.8 


75.0 






87 




89 
















15 


9.156 83 


87 
87 
87 
86 

86 

87 
86 
85 
86 


916135 


89 

88 
89 
88 

88 

88 
88 
88 
87 


0-838 65 


9.995 48 


45 


# 


89 


88 


87 


16 


9-157 70 


9.162 24 


0.837 76 


9.995 46 


44 


1 


1-5 


1-5 


1-4 


17 


9-158 57 


9-163 12 


0-836 88 


9-995 45 


43 


2 


3-0 


2-9 


2-9 


18 


9.159 44 


9.164 01 


0-835 99 


9-995 43 




3 


4-4 


4-4 


4-4 


19 


9.160 30 


9.164 89 


0-835 11 


9.995 41 


3: 


4 


5.9 


5-9 


5-8 


20 


9161 16 


9.165 77 


0-834 23 


3.995 39 


40 


5 


7.4 


7-3 


7-2 


21 


9162 03 


9.166 65 


0.833 35 


9-995 37 


39 


6 


8-9 


8-8 


8-7 


22 


9.162 89 


9.167 53 


0.832 47 


9-995 35 


38 


7 


10-4 


10.3 


10-2 


23 


9163 74 


9.168 41 


0.831 59 


9.995 33 


37 


8 


11-9 


11-7 


11-6 


24 


9.164 60 


9.169 28 


0-830 72 


9.995 32 


36 


9 


13-4 


13.2 


13.0 






85 




88 
















25 


9.165 45 


86 
85 
85 
85 


9.170 16 


87 
87 
87 
86 


0-829 84 


9.995 30 


35 


10 


14.8 


14.7 


14-'? 


26 


9166 31 


9.171 03 


0-828 97 


9.995 28 


34 


20 


29.7 


29.3 


29.0 


27 


9167 16 


9.171 90 


0-828 10 


9.995 26 


33 


30 


44.5 


440 


43-5 


28 


9-168 01 


9.172 77 


0.827 23 


9.995 24 


32 


40 


59.3 


58.7 


58-0 


29 


9.168 86 


9.173 63 


0.826 37 


9-995 22 


31 


50 


742 


73.3 


72.5 






84 




87 
















30 


9169 70 


85 
84 
84 
84 


9.174 50 


86 
86 
86 
86 


0.825 50 


9.995 20 


30 


" 


86 


85 


84 


31 


9.170 55 


9175 36 


0-824 64 


9.995 18 


29 


1 


1-4 


1-4 


1-4 


32 


9-171 39 


9.176 22 


0-823 78 


9,995 17 


28 


2 


2-9 


2-8 


2-8 


33 


9172 23 


9177 08 


0.822 92 


9.995 15 


27 


3 


4-3 


4.2 


4.2 


34 


91 73 07 


9.177 94 


0-822 06 


9.995 13 


26 


4 


5-7 


5-7 


5.6 






84 




86 
















35 


9.173 91 


83 
84 
83 
83 

83 

83 
83 
82 
82 

83 

82 
81 
82 
82 

81 

81 
81 
81 
81 

81 

80 
80 
80 
80 

80 


9.178 80 


85 
86 
85 
85 

85 

85 
84 
85 
84 

84 

84 
84 
83 
84 

83 

83 
83 
83 
83 

83 

82 
82 
82 
82 

82 


0-821 20 


9.995 11 


25 


5 


7-2 


7-1 


70 


36 


9.174 74 


9.179 65 


0820 35 


9-995 09 


24 


6 


8-6 


8-5 


8.4 


37 


9-175 58 


9180 51 


0-819 49 


9.995 07 


23 


7 


100 


9.9 


9-8 


38 


9176 41 


9.181 36 


0-818 64 


9-995 05 


22 


8 


11-5 


11-3 


11-2 


39 


9.177 24 


9.182 21 


0-817 79 


9-995 03 


21 


9 


12-9 


12-8 


12-6 


40 


9.178 07 


9.183 06 


0.816 94 


9.995 01 


20 


10 


14.3 


14.2 


14-0 


41 


9178 90 


9.183 91 


0.816 09 


9.994 99 


19 


20 


28.7 


28.3 


280 


42 


9.179 73 


9.184 75 


0.815 25 


9.994 97 


18 


30 


43-0 


42.5 


42.0 


43 


9180 55 


9.185 60 


0.814 40 


9.994 95 


17 


40 


57-3 


56.7 


56-0 


44 


9.181 37 


9.186 44 


0.813 56 


9.994 94 


16 


50 


71.7 


70.8 


70.0 


45 


9.182 20 


9.187 28 


0-812 72 


9.994 92 


15 


» 


83 


82 


81 


46 


9-183 02 


9.188 12 


0.811 88 


9.994 90 


14 


1 


1-4 


1-4 


1-4- 


47 


9-183 83 


9.188 96 


0.811 04 


9.994 88 


13 


2 


2.8 


2-7 


2-7 


48 


9184 65 


9.189 79 


0-810 21 


9.994 86 


12 


3 


4.2 


4-1 


40 


49 


9.18 547 


9.190 63 


0.809 37 


9.994 84 


11 


4 


5.5 


5.5 


5.4 


50 


9.186 28 


9.191 46 


0.808 54 


9-994 82 


10 


5 


6-9 


6.8 


6-$ 


51 


9.187 09 


9192 29 


0-807 71 


9.994 80 


9 


6 


8-3 


8-2 


8-1 


52 


9187 90 


9.193 12 


0.806 88 


9-994 78 


8 


7 


9-7 


9-6 


9-4 


53 


9188 71 


9.193 95 


806 05 


9.994 76 


7 


8 


11-1 


10-9 


10-8 


54 


9-189 52 


9.194 78 


0-805 22 


9.994 74 


6 


9 


12.4 


12-3 


12.2 


55 


9-190 33 


9-195 61 


804 39 


9.994 72 


5 


10 


13.8 


13.7 


13-5 


56 


9.191 13 


9196 43 


0.803 57 


9.994 70 


4 


20 


27.7 


27.3 


27.0 


57 


9191 93 


9-197 25 


0.802 75 


9.994 68 


3 


30 


41.5 


41.0 


40-5 


58 


9.192 73 


9.198 07 


0-801 93 


9.994 66 


2 


40 


55.3 


54.7 


54.0 


59 


9.193 53 


9.198 89 


0-801 11 


9.994 64 


1 


50 


69-2 


68.3 


67 5 


60 


9-194 33 


9.199 71 


0.800 29 


9.994 62 













r 


L. Cos. 


d. 


L. Cot. 

^ ^ ■ 


cd. 


L. Tan. 


L. Sin. 


r 


P.P. 


98" ( 


278") 




( 


261") 81° 





S3 



(Continiied^ 



SP:S- 1970 



CmtUl 



9° (189*") 










(350") 


170° 
60 












' 


L. Sin. 


d. 


L. Tan. 


c.cl. 


L. Cot, 


L. Cos. 






J' 


F, 







9.194 33 


80 
79 
80 
79 

79 

79 
59 
79 
78 

78 

79 
58 
78 
77 


9.199 71 


82 
81 
82 
81 

81 

81 
81 
81 
80 

81 

80 
80 
80 
80 


0-800 29 


9-994 62 


» 


80 


79 


78 


77 


1 


9.195 13 


9.200 53 


0-799 47 


9-994 60 


59 


1 


1-3 


1.3 


1.3 


1-3 


2 


9.195 92 


9-201 34 


0-798 66 


9-994 58 


58 


2 


2-7 


2.6 


2.6 


2-6 


3 


9-196 72 


9-202 16 


0-797 84 


9-994 56 


57 


3 


4-0 


4-0 


3.9 


3.8 


4 


9.197 15 


9-202 97 


0-797 03 


9-994 54 


56 


4 


5-3 


5.3 


5-2 


5.1 


5 


9-198 30 


9-203 78 


0-796 22 


9-994 52 


55 


5 


6-7 


6.6 


6-5 


6.4 


6 


9.199 09 


9-204 59 


0-795 41 


9.994 50 


54 


6 


8-0 


7.9 


7-8 


7-7 


7 


9-199 88 


9-205 4.0 


0-794 60 


9-994 48 


53 


7 


9.3 


9-2 


9-1 


9-0 


8 


9.200 67 


9.206 2 1 


0-793 79 


9.994 46 


52 


8 


10.7 


10-5 


10-4 


10-3 


9 


9.201 45 


9-207 01 


0-792 99 


9-994 44 


51 


9 


12.0 


11.8 


11-7 


11-6 


10 


9.202 23 


9.207 82 


0-792 18 


9-994 42 


50 


10 


13.3 


13.2 


13.0 


12-8 


11 


9-203 02 


9-208 62 


0-791 38 


9-994 40 


49 


20 


26.7 


26-3 


26-0 


25.7 


12 


9.203 SO 


9-209 42 


0-790 58 


9-994 38 


48 


30 


40.0 


39-5 


39.0 


38.5 


13 


9-204 58 


9-210 22 


0-789 78 


9-994 36 


47 


40 


53.3 


52.7 


52-0 


51.3 


14 


9-205 35 


9.211 02 


0.788 98 


9-994 34 


46 


50 


66.7 


65.8 


65.0 


64-2 






78 




80 


















15 


9.206 13 


78 

77 
77 
77 


9.211 82 


79 
80 
79 
79 


0.788 18 


9-994 32 


45 


" 


76 


75 


74 


73 


16 


9-206 91 


9.212 61 


0.787 39 


9-994 29 


44 


1 


1-3 


1-2 


1-2 


1-2 


17 


9-207 68 


9.213 41 


0.786 59 


9-994 27 


43 


2 


2-5 


2-5 


2-5 


2-4 


18 


9-208 45 


9-214 20 


0-785 80 


9-994 25 


42 


3 


3.8 


3-8 


3.7 


3-6 


19 


9-209 22 


9.214 YY 


0-785 01 


9-994 23 


41 


4 


5.1 


5-0 


4-9 


4-9 






77 




79 


















20 


9-209 99 


77 
77 
76 

77 


9-215 78 


79 
79 
78 
79 


0-784 22 


9.994 21 


40 


5 


6.3 


6.2 


6-2 


6-1 


21 


9-210 76 


9.216 57 


0-783 43 


9-994 19 


39 


6 


7-6 


7-5 


7.4 


7-3 


22 


9-21153 


9-217 36 


0-782 64 


9-994 17 


38 


7 


8-9 


8-8 


8.6 


8-5 


23 


9.212 29 


9-218 14 


0.781 86 


9-994 15 


37 


8 


101 


10-0 


9.9 


9-7 


24 


9.213 06 


9.218 93 


0-781 07 


9-994 13 


36 


9 


11.4 


11.2 


11-1 


11-0 






76 




78 


















25 


9.213 82 


76 
76 

76 

75 


9-219 71 


78 
78 
78 
78 


0-780 29 


9-994 11 


35 


10 


12.7 


12.5 


12.3 


12.2 


26 


9.214 58 


9-220 49 


0.779 5 1 


9-994 09 


34 


20 


25.3 


25.0 


24-7 


24.3 


27 


9.215 34 


9-221 27 


0-778 73 


9-994 07 


33 


30 


38-0 


37.5 


37.0 


36.5 


28 


9-21610 


9.222 05 


0.777 95 


9-994 04 


32 


40 


50.7 


50-0 


49.3 


48.7 


29 


9-216 85 


9.222 83 


0-777 17 


9.994 02 


31 


50 


63.3 


62.5 


61.7 


60-8 






76 




78 


















30 


9.217 61 


75 
76 
75 
75 


9.223 61 


77 
78 
77 
77 


0-776 39 


9.994 00 


30 


* 


72 


71 


3 


2 


31 


9.218 36 


9.224 38 


0.775 62 


9.993 98 


29 


1 


1-2 


1-2 


0-0 


0-0 


32 


9.219 12 


9.225 16 


0.774 84 


9.993 96 


28 


2 


2-4 


2.4 


01 


0-1 


33 


9.219 87 


9-225 93 


0.774 07 


9.993 94 


27 


3 


3-6 


3-6 


02 


0-1 


34 


9-220 62 


9.226 70 


0.773 30 


9.993 92 


26 


4 


4-8 


4-7 


0'2 


01 






75 




77 


















35 


9.221 37 


74 
75 
75 
74 


9.227 47 


77 
77 
76 
77 


772 53 


9-993 90 


25 


5 


6.0 


5.9 


0-2 


0-2 


36 


9.222 11 


9-228 24 


0-771 76 


9-993 88 


24 


6 


7-2 


71 


0-3 


0-2 


37 


9.222 86 


9-229.01 


0-770 99 


9-993 85 


23 


7 


8-4 


8-3 


0-4 


0-2 


38 


9.223 61 


9.229 77 


0-770 23 


9.993 83 


22 


8 


9-6 


95 


0-4 


0-3 


39 


9.224 35 


9.230 54 


0-769 46 


9.993 81 


21 


9 


10-8 


10-6 


0-4 


0-3 






74 




76 


















40 


9-225 09 


74 
74 
74 
74 


9.231 30 


76 
77 
76 
76 


0-768 70 


9.993 79 


20 


10 


12-0 


11-8 


OS 


0-3 


41 


9-225 83 


9.232 06 


0-767 94 


9-993 77 


19 


20 


24.0 


23-7 


1-0 


0-7 


42 


9-226 57 


9.232 83 


0-767 17 


9.993 75 


18 


30 


36-0 


35-5 


1-5 


1-0 


43 


9-227 31 


9.233 59 


0-766 41 


9.993 72 


17 


40 


48.0 


47-3 


20 


1-3 


44 


9-228 05 


9.234 35 


0-765 65 


9.993 70 


16 


50 


60.0 


59-2 


2.5 


1-7 






73 




75 


















45 


9.228 78 


74 
73 
73 
73 


9.235 10 


76 
75 
76 
75 


0-764 90 


9-993 68 


15 












46 


9.229 52 


9.235 86 


0-764 14 


9.993 66 


14 




3 


3 


3 




47 


9.230 25 


9.236 61 


0-763 39 


9-993 64 


13 




79 




77 




48 


9.230 98 


9.237 37 


0-762 63 


9.993 62 


12 




78 




49 


9-231 71 


9.238 12 


0-761 88 


9-993 59 


11 
















73 




75 


















50 


9-232 44 


73 
73 
72 
73 


9.238 87 


75 
75 
75 
74 


0-761 13 


9-993 57 


10 













51 


9-233 17 


9.239 62 


0-760 38 


9-993 55 


9 


1 


13.2 


13-0 


12-8 




52 


9.233 90 


9.240 37 


0-759 63 


9.993 53 


8 


2 


39.5 


39.0 


38.5 




S3 


9-234 62 


9.241 12 


0-758 88 


9.993 51 


7 


3 


65.8 


65.0 


64-2 




54 


9-235 35 


9.241 86 


0-758 14 


9.993 48 


6 
















72 




75 










3 


3 


3 




55 


9.236 07 




9.242 61 


74 
75 
74 
74 

74 


0.757 39 


9.993 46 


5 












56 


9.236 79 


3: 
71 
72 

72 


9-243 35 


0-756 65 


9.993 44 


4 




-76 


75 


74 




57 


9-237 52 


9.244 10 


0-755 90 


9.993 42 


3 





12-7 
38.0 
63-3 


12-5 
37-S 
62-5 


12-3 

37.0 
61-7 




58 


9.238 23 


9-244 84 


0.755 16 


9.993 40 


2 


1 




59 


9.238 95 


9-245 58 


0.754 42 


9.993 37 


1 


2 

3 




60 


9.239 67 


d. 


9.246 32 




0-753 68 


9.993 35 















' 


L. Cos. 


L. cot. 


c.d. 


L. Tan. 


L. Sin. 


' 


P.P. 



99° (279°) 



(260°) 80° 



54 



(Continned^ 



SP: 8 - 1970 



W (190°) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FtTNCTIONS- 

(349°) 169" 



■Contd 



f 


L. Sin. 


d. 


L. Tan. 


c.d. 


L. Cot. 


L. Cos. 


d. 

2 
2 
3 
2 


60 

59 


P.P. 


9 

1 


9-239 67 
9-240 39 


72 
71 
71 
72 


9-246 32 
9-247 Q6 


74 
73 
74 
73 


0-7S3 68 
0-752 9* 


9-993 35 
9-993 33 


1 


74 
1-2 


73 
1-2 


72 
1-2 


2 


9-241 10 


9-247 79 


0-752 21 


9-993 31 


58 


2 


2-5 


2-4 


2-4 


3 


9-241 81 


9-248 S3 


0-751 47 


9-993 28 


57 


3 


3-7 


3-6 


3-6 


4 


9-242 53 


9-249 26 


0-750 74 


9-993 26 


56 


4 


4-9 


4-9 


4-8 






71 




74 






2 












5 


9-243 24 


71 
71 
70 
71 


9-250 00 


73 
73 
73 
73 


0-750 00 


9-993 24 


2 
3 
2 
2 


55 


5 


6-2 


6-1 


6-0 


6 


9-243 95 


9-250 73 


0-749 27 


9-993 22 


54 


6 


7-4 


7-3 


7-2 


7 


9-244 66 


9-251 46 


0-748 54 


9-993 19 


53 


7 


8-6 


8-5 


8-4 


8 


9-245 36 


9-252 19 


0-747 81 


9-993 17 


52 


8 


9-9 


9-7 


9-6 


9 


9-246 07 


9-252 92 


0-747 08 


9-993 15 


5. 


9 


11-1 


110 


10-8 






70 




73 






2 












10 


9-246 77 


71 
70 
70 
70 


9-253 65 


72 
73 
72 
73 


0-746 35 


9-993 13 


« 


50 


10 


12-3 


12-2 


12-0 


11 


9-247 48 


9-254 37 


0-745 63 


9-993 10 


2 
2 
2 


49 


20 


24-7 


24-3 


240 


12 


9-248 18 


9-255 10 


0-744 90 


9-993 08 


48 


30 


370 


36-5 


36-0 


13 


9-248 88 


9-255 82 


0-744 18 


9-993 06 


47 


40 


49-3 


48-7 


480 


14 


9-249 58 


9-256 55 


0-743 45 


9-993 04 


46 


50 


61-7 


60-8 


60-0 






70 




72 






3 












15 


9-250 28 


70 
70 
69 
70 


9-257 27 


72 
72 
72 
72 


0-742 73 


9-993 01 


2 
2 
3 
2 


45 


# 


71 


70 


69 


16 


9-250 98 


9-257 99 


0-742 01 


9-992 99 


44 


1 


1-2 


1-2 


1-2 


17 


9-251 68 


9-258 71 


0-741 29 


9-992 97 


43 


2 


2-4 


2-3 


2-3 


18 


9-252 37 


9-259 43 


0-740 57 


9-992 94 


42 


3 


3-6 


3-5 


3-4 


19 


9-253 07 


9-260 15 


0-739 85 


9-992 92 


41 


4 


4-7 


4-7 


4-6 






69 




71 






2 












20 


9-253 76 


69 
69 
69 
69 


9-260 86 


72 
71 
72 
71 


0-739 14 


9-992 90 


2 
3 
2 
2 


40 


5 


5-9 


5-8 


5-8 


21 


9-254 45 


9-261 58 


0-738 42 


9-992 88 


39 


6 


7-1 


7-0 


69 


22 


9-255 14 


9-262 29 


0-737 71 


9-992 85 


38 


7 


8-3 


8-2 


80 


23 


9-2SS 83 


9-263 01 


0-736 99 


9-992 83 


37 


8 


9-5 


9-3 


9-2 


24 


9-256 52 


9-263 72 


0-736 28 


9-992 81 


36 


9 


10-6 


10-5 


10-4 






69 




71 






3 












25 


9-257 21 


69 
68 
69 
68 


9-264 43 


71 
71 
70 
71 


0-735 57 


9-992 78 


2 
2 
3 
2 


35 


10 


11-8 


n-7 


11-5 


26 


9-257 90 


9-265 14 


0-734 86 


9-992 76 


34 


20 


23-7 


23-3 


23-0 


27 


9-258 58 


9-265 85 


0-734 15 


9-992 74 


33 


30 


35-5 


350 


34-5 


28 


9-259 27 


9-266 55 


0-733 45 


9-992 71 


32 


40 


47-3 


46-7 


460 


29 


9-i259 95 


9-267 26 


0-732 74 


9-992 69 


31 


50 


59-2 


58-3 


57-5 






68 




71 






2 












30 


9-260 63 


68 
68 
68 
68 


9-267 97 


70 
70 
71 
70 


0-732 03 


9-992 67 


3 
2 
2 
3 


30 


» 


68 


67 


66 


31 


9-261 31 


9-268 67 


0-731 33 


9-992 64 


29 


1 


1-1 


1-1 


11 


32 


9-261 99 


9-269 37 


0-730 63 


9-992 62 


28 


2 


2-3 


2-2 


2-2 


33 


9-262 67 


9-270 08 


,0-729 92 


9-992 60 


27 


3 


3-4 


3-4 


3-3 


34 


9-263 35 


9-270 78 


0-729 22 


9-992 57 


26 


4 


4-5 


4-5 


4-4 






68 




70 






2 












35 


9-264 03 


67 
68 
67 
67 


9-271 48 


70 
70 
69 
70 


0-728 52 


9-992 55 


3 
2 
2 
3 


25 


5 


5-7 


5-6 


5-5 


36 


9-264 70 


9-272 18 


0-727 82 


9-992 52 


24 


6 


6-8 


6-7 


6-6 


37 


9-265 38 


9-272 88 


0-727 12 


9-992 50 


23 


7 


7-9 


7-8 


7-7 


38 


9-266 05 


9-273 57 


0-726 43 


9-992 48 


22 


8 


9-1 


8-9 


8-8 


39 


9-266 72 


9-274 27 


0-725 73 


9-992 45 


21 


9 


10-2 


100 


9-9 






67 




69 






2 












40 


9-267 39 


67 
67 
67 
67 


9-274 96 


70 
69 
69 
69 


0-725 04 


9-992 43 


2 
3 
2 
3 


20 


10 


11-3 


11-2 


110 


41 


9-268 06 


9-275 66 


0-724 34 


9-992 41 


19 


20 


22-7 


22-3 


220 


42 


9-268 73 


9-276 35 


0-723 65 


9-992 38 


18 


30 


34-0 


33-5 


33-0 


43 


9-269 40 


9-277 04 


0-722 96 


9-992 36 


17 


40 


45-3 


44-7 


44-0 


44 


9-270 07 


9-277 73 


0-722 27 


9-992 33 


16 


50 


56-7 


55-8 


550 






66 




69 






2 












45 


9-270 73 




9-278 42 


69 
69 
69 
68 


0-721 58 


9-992 31 


2 
3 
2 
3 


15 










46 


9-271 40 


67 
66 


9-279 11 


0-720 89 


9-992 29 


14 




3 


3 


3 


47 


9-272 06 


9-279 80 


0-720 20 


9-992 26 


13 




74 


73 


72 


48 


9-272 73 


67 


9-280 49 


0-719 51 


9-992 24 


12 




49 


9-273 39 


66 


9-281 17 


0-718 83 


9-992 21 


11 














66 




69 






2 






1 
2 
3 








50 


9-274 05 


66 
66 

65 


9-281 86 


68 
69 
68 
68 


0-718 14 


9-992 19 


2 

3 
2 
3 


10 


12-3 


12-2 


12-0 


SI 


9-274 71 


9-282 54 


0-717 46 


9-992 17 


9 


37-0 


36-5 


36-0 


52 


9-275 37 


9-283 23 


0-716 77 


9-992 14 


8 


61-7 


60-8 


60-0 


53 


9-276 02 


9-283 91 


0-716 09 


9-992 12 


7 








54 


9-276 68 


66 


9-284 59 


0-715 41 


9-992 09 


6 




3 


3 3 


3 


55 


9-277 34 


66 


9-285 27 


68 

68 
67 
68 
68 


0-714 73 


9-992 07 


2 

3 
2 
2 
3 


5 




71 70 69 


68 


56 
57 
58 
59 


9-277 99 
9-278 64 
9-279 30 
9-279 95 


65 
65 
66 
65 


9-285 95 
9-286 62 
9-287 30 
9-287 98 


0-714 05 
0-713 38 
0-712 70 
0-712 02 


9-992 04 
9-992 02 
9-992 00 
9-991 97 


4 
3 
2 
1 




1 
2 
3 


11-8 11-7 11-5 11-3 
35-5 35-0 34-5 34-0 
59-2 58-3 57-5 56-7 






65 




67 






2 












60 


9-280 60 




9-288 65 




0-711 35 


9-991 95 


d. 













' 


L. Cos. 


d. 


L. Cot. 


c.d. 


L. Tan. 


L. Sin. 


P.P. 



100* (280°) 



(259°) 79° 



55 



(Continued) 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Conid 

(348 ) 168° 



11° (191°) 



/ 


L. Sin. 


d. 


L. Tan. 


c.a. 


L. Cot. 


L. Cos. 


d. 


601 


p.p. 





9.280 60 


65 
65 
64 

65 


9.288 65 


68 
67 
67 
67 


0-71135 


9.991 95 


u 


65 


64 


63 


1 


9-281 25 


9.289 33 


0-710 67 


9-991 92 


3 


59 


1 


11 


1-1 


10 


2 


9.281 90 


9-290 00 


0.710 00 


9.991 90 


2 


58 


2 


2-2 


21 


2-1 


3 


9.282 54 


9-290 67 


0-709 33 


9-991 87 


3 


57 


3 


3-2 


3-2 


3-2 


4 


9.283 19 


9.291 34 


0-708 66 


9.991 85 


2 


56 


4 


4-3 


4-3 


4-2 






65 




67 






3 












S 


9-283 84 


64 
64 
65 
64 


9.292 01 


67 
67 
67 
66 


0.707 99 


9-991 82 




55 


5 


5-4 


5-3 


5-2 


6 


9-284 48 


9.292 68 


0.707 32 


9-991 80 


2 


54 


6 


6-5 


6-4 


6-3 


7 


9.285 12 


9.293 35 


0.706 65 


9.991 77 


3 


S3 


7 


7-6 


7-5 


7-4 


8 


9.285 77 


9.294 02 


0.705 98 


9.991 7.5 


2 


52 


8 


8-7 


8-5 


8-4 


9 


9.286 41 


9-294 68 


0.705 32 


9.991 72 


3 


51 


9 


9-8 


9-6 


9-4 






64 




67 






2 












10 


9.287 05 


64 
64 
63 
64 


9.295 35 


66 
67 
66 
66 


0-704 65 


9.991 70 




50 


10 


10-8 


10-7 


10-5 


11 


9.287 69 


9.296 01 


0.703 99 


9.991 67 


3 


49 


20 


21-7 


21.3 


21.0 


12 


9.288 33 


9.296 68 


0-703 32 


9-991 65 


2 


48 


30 


32.5 


32-0 


31.5 


13 


9.288 96 


9.297 34 


0-702 66 


9-991 62 


3 


47 


40 


43.3 


42.7 


42-0 


14 


9.289 60 


9.298 90 


0-702 00 


9.991 60 


2 


46 


50 


54.2 


53.3 


52-5 






64 




66 






3 












15 


9-290 24 


63 
63 
64 
63 


9.298 66 


66 
66 

66 
66 


0.701 34 


9.991 57 




45 


" 


62 


61 


60 


16 


9-290 87 


9.299 32 


0-700 68 


9.991 55 


2 


44 


1 


1-0 


1-0 


10 


17 


9.291 50 


9.299 98 


0-700 02 


9.991 52 


3 
2 


43 


2 


2-1 


2-0 


2-0 


18 


9.292 14 


9.300 64 


0-699 36 


9.991 .SO 


42 


3 


3-1 


3-0 


3-0 


19 


9.292 77 


9.301 30 


0-698 70 


9.991 47 


3 


41 


4 


4-1 


4-1 


40 






63 




65 






2 












20 


9.293 40 


63 
63 
63 
62 


9-301 95 


66 
65 
65 
66 


0-698 05 


9.991 45 




40 


5 


5.2 


5-1 


5-0 


21 


9.294 03 


9-302 61 


0-697 39 


9.991 42 


3 
2 
3 
2 


39 


6 


6-2 


6-1 


6-0 


22 


9.294 66 


9-303 26 


0.696 74 


9.991 40 


38 


7 


7-2 


7-1 


7-0 


23 


9.295 20 


9-303 91 


0-696 09 


9-991 37 


37 


8 


8.3 


8-1 


8-0 


24 


9.295 91 


9-304 57 


0-695 43 


9.991 35 


36 


9 


9-3 


9.2 


9-0 






63 




65 






3 












25 


9.296 54 


62 
63 
62 
62 


9-305 22 


65 

65 

1 65 

65 


0-694 78 


9-991 32 


2 
3 
3 
2 


35 


10 


10-3 


10-2 


10-0 


26 

27 


9.297 16 
9.297 79 


9.305 87 

9.306 52 


0-694 13 
0-693 48 


9-991 30 

9.991 27 


34 
33 


20 
30 


20.7 
31-0 


20-3 
30-5 


200 

30.0 


28 


9.298 41 


9.307 17 


0-692 83 


9.991 24 


32 


40 


41.3 


40.7 


40-0 


29 


9.299 03 


9-307 82 


0-692 18 


9.991 22 


31 


SO 


51.7 


50-8 


50-0 






63 




64 






3 












30 


9-299 66 


62 
62 
61 
62 


9-308 46 


65 
64 

65 
64 


0-691 54 


9.991 19 


2 
3 
2 
3 


30 


" 


59 


3 


2 


31 


9-300 28 


9.309 11 


0-690 89 


9-991 17 


29 


1 


1-0 


0-0 


0-0 


32 


9-300 90 


9.309 75 


0-690 25 


9.991 14 


28 


2 


2 


01 


0-1 


33 


9.301 51 


9.310 40 


0-689 60 


9.991 12 


27 


3 


3-0 


0-2 


0-1 


34 


9-302 13 


9.311 04 


0-688 96 


9.991 09 


26 


4 


3-9 


0-2 


O-l 






62 




64 






3 












35 


9-302 75 


61 
62 
61 
62 


9.311 68 


65 
64 
64 
64 


0.688 32 


9-991 06 


2 
3 
2 
3 


25 


5 


4.9 


0-2 


0-2 


36 


9-303 36 


9-312 33 


0-687 67 


9.991 04 


24 


6 


5.9 


0-3 


0-2 


37 


9.303 98 


9.312 97 


0-687 03 


9-99101 


23 


7 


6.9 


0-4 


0-2 


38 


9.304 59 


9-313 61 


0.686 39 


9.990 99 


22 


8 


7-9 


0-4 


0-j 


39 


9.305 21 


9-314 25 


0.685 75 


9.990 96 


21 


9 


8.8 


0-4 


0-3 






61 




64 






3 












40 


9.305 82 


61 
61 
61 
61 


9-314 89 


63 
64 
63 
64 


0-685 11 


9-990 93 


2 
3 
2 
3 


20 


10 


9.8 


0-5 


0-3 


41 


9.306 43 


9.315 52 


0.684 48 


9.990 91 


19 


20 


19.7 


10 


0-7 


42 


9.307 04 


9.316 16 


0-683 84 


9.990 88 


18 


30 


29.5 


1-5 


1-0 


43 


9.307 65 


9.316 79 


0-683 21 


9-990 86 


17 


<to 


39.3 


2-0 


1-3 


44 


9-308 26 


9-317 43 


0-682 57 


9-990 83 


16 


50 


49.2 


2-5 


1-7 






61 




63 






3 












45 


9-308 87 


60 
61 
60 
61 


9.318 06 


64 
63 
63 
63 


0-681 94 


9-990 80 


2 
3 
3 
2 


15 










46 


9.309 47 


9.318 70 


0-681 30 


9.990 78 


14 




3 


3 


3 


47 


9-310 08 


9-319 33 


0-680 67 


9-990 75 


13 




48 


9.310 68 


9.319 96 


0-680 04 


9-990 7 2 


12 




67 


66 


65 


49 


9.311 29 


9.320 59 


0-679 4] 


9-990 70 


11 




1 












60 




63 






3 




11-2 


11-0 


10-8 


50 


9.311 89 


61 
60 
60 
60 


9.321 22 


63 
63 
63 
62 


0-678 78 


9-990 67 


3 
2 
3 
3 


10 


33.5 


330 


32^5 


51 


9.312 50 


9.321 85 


0-678 15 


9-990 64 


9 


2 


55.8 


55-0 


54.2 


52 


9.313 10 


9.322 48 


0.677 52 


9.990 62 


8 


3 








53 


9.313 70 


9.323 11 


0-676 89 


9-990 59 


7 




3 




3 


54 


9.314 30 


9.323 73 


0-676 27 


9-990 56 


6 




3 






60 




63 






2 






64 


6 3 


2 


55 


9.314 90 


59 
60 
60 
59 


9.324 36 


62 
63 
62 

62 


0-675 64 


9-990 54 


3 
3 
2 
3 


5 










56 

57 
58 


9.315 49 

9.316 09 
9.316 69 


9.324 98 

9.325 61 

9.326 23 


0.675 02 
0.674 39 
0.673 77 


9.990 51 
9.990 48 
9-990 46 


4 
3 
2 


■i 


10-7 
32-0 

53.3 


10-5 

31.5 
52-5 


10.3 
31.0 

51.7 


59 


9.317 28 


9.326 85 


0.673 15 


9-990 43 


1 


3 






60 




62 






3 












60 


9.317 88 




9.327 47 




0-672 53 


9-990 40 


1. 




r 










f 


L. Cos. 


d. 


L. Cot. 


c.d. 


L. Tan. 


L. sill. 


P.P. 



101° (281°) 



(258°) 78" 



56 



{ContinuecCj 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 
12"* (192°) (347°) 167° 



- Contd 



f 


L. Sin. 


a. 


L. Tan. 


.d. 


L. Cot. 


L. COS. 
9.990 40 





9-317 88 


59 
60 
59 
59 


9.327 47 


63 
62 
61 
62 


0.672 53 


1 


9.318 47 


9-328 10 


0-671 90 


9.990 38 


2 


9-319 07 


9-328 72 


0-671 28 


9.990 35 


3 


9-319 66 


9.329 33 


0-670 67 


9.990 32 


4 


9.320 25 


9.329 95 


0.670 05 


9.990 30 






59 




62 






5 


9.320 84 


59 
59 
59 
58 


9-330 57 


62 
61 
62 
61 


0.669 43 


9.990 27 


6 


9.321 43 


9-331 19 


0-668 81 


9.990 24 


7 


9.322 02 


9-331 80 


0-668 20 


9-990 22 


8 


9.322 61 


9-332 42 


0-667 58 


9.990 19 


9 


9-323 19 


9.333 03 


0-666 97 


9-990 16 






59 




62 






10 


9.323 78 


59 

58 
58 
59 


9.333 65 


61 
61 
61 
61 


0.666 35 


9-990 13 


11 


9.324 37 


9.334 26 


0-665 74 


9-99011 


12 


9.324 95 


9-334 87 


0.665 13 


9.990 08 


13 


9.325 53 


9-335 48 


0-664 52 


9-990 05 


14 


9.326 12 


9.336 09 


0-663 91 


9.990 02 






58 




61 






IS 


9.326 70 


58 
58 
58 
58 


9-336 70 


61 
61 
61 
60 


0-663 30 


9-990 00 


16 


9.327 28 


9-337 31 


0.662 69 


9.989 97 


17 


9.327 86 


9-337 92 


0-662 08 


9.989 94 


18 


9.328 44 


9-338 53 


0.661 47 


9.989 91 


19 


9.329 02 


9-339 13 


0.660 87 


9.989 89 






58 




61 






20 


9.329 60 


58 
57 
58 
57 


9-339 74 


60 
61 
60 
60 


0.660 26 


9-989 86 


21 


9-330 18 


9-340 34 


0.659 66 


9.989 83 


22 


9-33075 


9-340 95 


0-659 05 


9.989 80 


23 


9.331 33 


9-341 55 


0-658 45 


9.989 78 


24 


9.331 90 


9.342 15 


0.657 85 


9.989 75 






58 




61 






25 


9.332 48 


57 
57 


9.342 76 


60 
60 
60 
60 


0.657 24 


9.989 72 


26 


9.333 05 


9.343 36 


0-656 64 


9.989 69 


27 


9.333 62 


9-343 96 


0-656 04 


9.989 67 


28 


9-334 20 


58 


9-344 56 


0-655 44 


9.989 64 


29 


9-334 77 


57 


9.345 16 


0.654 84 


9.989 61 






57 




60 






30 


9.335 34 


57 


9-345 76 


59 
60 
60 
59 

60 

59 
59 
59 
60 

59 

59 
59 
59 
58 


0-654 24 


9.989 58 


31 


9.335 91 


9-346 35 


0.653 65 


9-989 55 


32 


9.336 47 


56 


9-346 95 


0.653 05 


9-989 53 


33 


9.337 04 


57 


9-347 55 


0.652 45 


9.989 50 


34 


9.337 61 


57 


9-348 14 


0.651 86 


9.989 47 


35 


9.338 18 


57 


9-348 74 


0-651 26 


9.989 44 


36 


9.338 74 


56 
57 
56 


9-349 33 


0-650 67 


9.989 41 


37 


9.339 31 


9.349 92 


0-650 08 


9.989 38 


38 


9-339 87 


9.350 51 


0-649 49 


9.989 36 


39 


9.340 43 


56 


9.351 11 


0-648 89 


9.989 33 


40 


9.341 00 


57 


9.351 70 


0.648 30 


9.989 30 


41 


9-341 56 


56 
56 

56 


9-352 29 


0.647 71 


9.989 27 


42 


9,342 12 


9-352 88 


0.647 12 


9.989 24 


43 


9.342 68 


9.353 47 


0.646 53 


9.989 21 


44 


9-343 24 


56 


9.354 05 


0-645 95 


9.989 19 






56 




59 






45 


9.343 so 




9.354 64 


59 
58 
59 
58 


0-645 36 


9.989 16 


46 


9-344 36 


56 


9.355 23 


0-644 77 


9.989 13 


47 


9-344 91 


55 


9-355 81 


0-644 19 


9.989 10 


48 


9.345 47 


56 


9.356 40 


0.643 60 


9-989 07 


49 


9.346 02 


55 


9-356 98 


0-643 02 


9-989 04 






56 




59 






50 


9.346 58 




9.357 57 


58 
58 
58 
58 


0-642 43 


9.989 01 


51 


9.347 13 


55 


9-35815 


0.641 85 


9.988 98 


52 


9.347 69 


56 


9-358 73 


0-641 27 


9.985 96 


53 


9.348 24 


55 


9.359 31 


0-6 40 69 


9.988 93 


54 


9.348 73 


55 


9.359 89 


0-640 11 


9.988 90 






55 




58 






55 


9.349 34 




9-360 47 


58 
58 
58 
58 


0-639 53 


9.988 87 


56 


9.349 89 


55 


9-361 05 


0-638 95 


9.988 84 


57 


9.350 44 


55 
55 
55 


9.361 63 


0-638 37 


9.988 81 


58 


9.350 99 


9.362 21 


0-637 79 


9.988 78 


59 


9.351 54 


9.362 79 


0.637 21 


9.988 75 






55 




57 






60 


9.352 09 




9.363 36 




0.636 64 


9.988 72 


/ 


L. COS. 


a. 


L. Cot. 


:.d. 


L. Tan. 


L. Sin. 



d. 


r 


P.P. 


2 
3 
3 

2 

3 

3 
2 
3 
3 

3 

2 


60 


* 


63 


62 


61 


59 


1 


1-0 


1-0 


1-0 


58 


2 


2-1 


2.1 


2-0 


57 


3 


3-2 


3-1 


3-0 


56 


4 


4-2 


4-1 


4-1 


55 


5 


5-2 


5-2 


5-1 


54 


6 


6-3 


6-2 


61 


53 


7 


7-4 


7-2 


7-1 


52 


8 


8-4 


8-3 


8-1 


51 


9 


9-4 


9-3 


9-2 


50 


10 


10-5 


10-3 


10-2 


49 


20 


21.0 


20.7 


20-3 


3 
3 


48 


30 


31.5 


31-0 


30.5 


47 


40 


42-0 


41-3 


40.7 


2 
3 


46 


50 


52.5 


51-7 


50.8 


45 


- 


60 


59 


58 


44 


1 


1-0 


1-0 


1-0 


3 
2 


43 


2 


2-0 


2-0 


1-9 


42 


3 


3-0 


3-0 


2.9 


3 

3 
3 

2 
3 

3 

3 
2 
3 


41 


4 


40 


3.9 


3.9 


40 


5 


5 


4-9 


4.8 


39 


6 


6-0 


5.9 


5.8 


38 


7 


7-0 


6.9 


6-8 


37 


8 


8-0 


7-9 


7-7 


36 


9 


9-0 


8-8 


8-7 


35 


10 


10-0 


9-8 


9-7 


34 


20 


20.0 


19-7 


19-3 


33 


30 


30.0 


29.5 


29-0 


3 

3 

3 

2 
3 


32 


40 


40.0 


39.3 


38-7 


31 


50 


50.0 


49.2 


48-3 


30 


« 


57 


56 


55 


29 


1 


1-0 


0-9 


0-9 


28 


2 


1-9 


1-9 


1-8 


3 

3 

3 

3 

2 
3 


27 


3 


2-8 


2-8 


2-8 


26 


4 


3.8 


3.7 


3.7 


25 


5 


4.8 


4.7 


4-6 


24 


6 


5-7 


5.6 


5-5 


23 


7 


6-6 


6-5 


6-4 


22 


8 


7-6 


7-5 


7-3 


3 
3 


21 


9 


8-6 


8-4 


8-2 


20 


10 


9-5 


9.3 


9-2 


19 


20 


190 


18.7 


18-3 


3 
2 

3 

3 
3 


18 


30 


2S-S 


28.0 


27.5 


17 


40 


38-0 


37.3 


36.7 


16 


50 


47.5 


46 7 


45.8 


15 
14 




3 


3 


3 


3 


13 




62 


61 


60 


3 
3 


12 










11 



1 
2 
3 


10-3 


10.2 


10-0 


3 
2 
3 
3 


10 


3 


30-5 


300 


9 
8 
7 
6 


50-S 

3 


50.0 
3 


3 




x9- 


58 


57 


3 


5 
4 




1 
2 
3 


9.8 


9-7 


9.5 


3 


3 
2 

1 


29.5 


29-0 


28.5 


3 


49.2 


48.3 


47.5 


3 













d. 


f 


P.P. 



102 (282 ) 



(257 ) 77 



57 



(Continued) 



SP; 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Conid 



13° 


(193) 










(346 ) 


166 












/ 


L. Sin. 


d. 


L. Tan. 


:.d 


L. cot. 


L. COS. 


i. 

3 
2 
3 
3 


' 


P.P. 





9-352 09 


54 

55 
55 
54 


9.363 36 


58 
58 

57 
57 


0-636 64 


9-988 72 


60 


m 


57 


56 




55 


1 


9.352 63 


9-363 94 


0-636 06 


9.988 69 


59 


1 


1-0 


0-9 




0-9 


2 


9-35318 


9-364 52 


0-635 48 


9-988 67 


58 


2 


1-9 


1-9 




1-8 


3 


9-353 73 


9.365 09 


0.634 91 


9-988 64 


57 


3 


2-8 


2-8 




2.8 


4 


9.354 27 


9.365 66 


0.634 34 


9.988 61 


56 


4 


3-8 


3-7 




3-7 






54 




58 






3 














5 


9-354 81 


55 


9-366 24 


57 
57 
57 
57 


0.633 76 


9-988 58 


3 
3 
3 
3 


55 


5 


4-8 


4-7 




4-6 


6 


9.355 36 


9-366 81 


0.633 19 


9-988 55 


54 


6 


S-7 


S-6 




5-5 


7 


9.355 90 




9-367 38 


0-632 62 


9.989 52 


53 


7 


6-6 


6-5 




6-4 


8 


9.356 44 


54 


9-367 95 


0-63^05 


9-988 49 


52 


8 


7-6 


7-5 




7-3 


9 


9-356 98 


9-368 52 


0.63148 


9-988 46 


51 


9 


8-6 


8-4 




8-2 






54 




57 






3 














10 


9.357 52 


54 
54 
54 
54 


9-369 09 


57 
57 

57 
57 


0-630 91 


9-98843 


3 
3 
3 
3 


50 


10 


95 


9-3 




9-2 


11 


9.358 06 


9-369 66 


0.630 34 


9.988 40 


49 


20 


19-0 


18-7 




18-3 


12 


9.358 60 


9-370 23 


0-629 77 


9.988 37 


48 


30 


28.5 


28-0 




27-5 


13 


9.359 14 


9-370 80 


0-629 20 


9.988 34 


47 


40 


38-0 


37-3 




36.7 


14 


9-359 68 


9-371 37 


0-628 63 


9.988 31 


46 


SO 


47.5 


46-7 




45.8 






54 




56 






3 














15 


9-360 22 


53 
54 
53 
54 


9-371 93 


57 
56 
57 

56 


0-62807 


9.988 28 


3 
3 
3 
3 


45 


' 


54 


53 




52 


16 


9-360 75 


9-372 SO 


0.627 50 


9.988 25 


44 


1 


0-9 


0-9 




0-9 


17 


9-361 29 


9-373 06 


0-626 94 


9.988 22 


43 


2 


1-8 


1-8 




1-7 


18 


9-361 82 


9.373 63 


0-626 37 


9-988 19 


42 


3 


2-7 


2-6 




2-6 


19 


9.362 36 


9.374 19 


0-625 81 


9.988 16 


41 


4 


3.6 


3-5 




3-5 






53 




57 






3 














20 


9.362 89 


53 
53 
54 
53 


9-374 76 


56 
56 

56 
56 


0.625 24 


9.988 13 


3 
3 
3 
3 


40 


S 


4.5 


4-4 




4-3 


21 


9-363 


9-375 32 


0-624 68 


9.988 10 


39 


6 


5-4 


5-3 




5-2 


22 


9-363 3: 


9-375 88 


0.624 12 


9.988 07 


38 


7 


6-3 


6-2 




6-1 


23 


9.364 49 


9.376 44 


0-623 56 


9.988 04 


37 


8 


7.2 


7-1 




6-9 


24 


9.365 02 


9.377 00 


0-623 GO 


9.988 01 


36 


9 


8-1 


8-0 




7-8 






53 




56 






3 














25 


9-365 55 


S3 
52 
53 
53 


9-377 56 


56 
56 

56 
56 


0-622 44 


9.987 98 


3 
3 

3i 
3 


35 


10 


9-0 


8-8 




8-7 


26 


9-36608 


9-378 12 


0-621 88 


9.987 95 


34 


20 


180 


17-7 




17-3 


27 


9.366 60 


9-378 68 


0-621 32 


9.987 92 


33 


30 


27-0 


26-5 




260 


28 


9.367 13 


9-379 24 


0-620 76 


9.987 89 


32 


40 


36-0 


35-3 




34-7 


29 


" 9.367 66 


9-379 80 


0-620 20 


9.987 86 


31 


SO 


45-0 


44-2 




43-3 






53 




55 






3 














30 


9-368 19 


52 
53 
52 
52 


9.380 35 


56 
56 
55 
55 


0.619 65 


9-987 83 


3 
3 
3 
3 


30 


It 


51 


4 


3 


2 


31 


9.368 71 


9.380 91 


0.619 09 


9.987 80 


29 


1 


0-.8 


0-1 


00 


00 


32 


9.369 24 


9.381 47 


0.618 53 


9-987 77 


28 


2 


1-7 


0-1 


0-1 


0-1 


33 


9.369 76 


9.382 02 


0.617 98 


9-987 74 


27 


3 


2-6 


0-2 


0-2 


01 


34 


9.370 28 


9.382 57 


0-61743 


9.987 71 


26 


4 


3.4 


0-3 


0-2 


01 






53 




56 






3 














35 


9-370 81 


52 
52 
52 
52 


9.383 13 


55 
55 
56 
55 


0.616 87 


9,987 68 


3 
3 
3 
3 


25 


5 


4.2 


0-3 


0-2 


0-2 


36 


9.371 33 


9-383 68 


0.616 32 


9-987 65 


24 


6 


5-1 


0-4 


0-3 


0-2 


37 


9.371 85 


9.384 23 


0.615 77 


9.987 62 


23 


7 


60 


0-5 


0-4 


0-2 


38 


9-372 37 


9-384 79 


0.615 21 


9.987 59 


22 


8 


6.8 


0-5 


0-4 


0-3 


39 


9-372 89 


9.385 34 


0-614 66 


9.987 56 


21 


9 


7.6 


0-6 


0-4 


0-3 






52 




55 






3 














40 


9.373 41 


52 
52 
52 
52 


9.385 89 


55 
55 
55 
54 


0.614 11 


9.987 53 


3 
4 
3 
3 


20 


10 


8-5 


0-7 


0-5 


0-3 


41 


9.373 93 


9.386 44 


0-613 56 


9-987 50 


19 


20 


17-0 


1-3 


1-0 


0-7 


42 


9.374 45 


9.386 99 


0-613 01 


9-987 46 


18 


30 


25.5 


2-0 


1-5 


l-O 


43 


9.374 97 


9.387 54 ■ 


0.612 46 


9.987 43 


17 


40 


34.0 


2-7 


2-0 


1.3 


44 


9-375 49 


9.388 08 


0.611 92 


9.987 40 


16 


SO 


42-5 


3-3 


2-5 


1-7 






51 




55 






3 














45 


9-376 00 


52 
51 
52 
51 


9.388 63 


55 
54 

55 
55 


0-61137 


9.987 37 


3 
3 
3 
3 


15 












46 


9-376 52 


9-389 18 


0.610 82 


9,987 34 


14 




4 


4 


3 


3 


47 


9-377 03 


9-389 72 


0.610 28 


9.987 31 


13 




48 


9.377 55 


9.390 27 


0.609 73 


9-987 28 


12 




55 


54 


58 


67 


49 


9.378 06 


9.390 82 


0.609 18 


9-987 25 


11 



1 
2 
3 

4 














52 




54 






3 




6-9 


6-8 


9-7 


9-5 


50 


9 378 58 


51 
51 
51 
51 


9.391 36 


54 
55 

54 

54 


0-608 64 


9.987 22 




10 


20-6 


20.2 


29.0 


28.5 


51 


9.379 09 


9-391 90 


0-608 10 


9.987 19 


3 
4 
3 
3 


9 


34-4 


33.8 


48-3 


47-5 


52 


9.379 60 


9.392 45 


0.607 55 


9.987 15 


8 


48-1 


47-2 


— 


— 


53 


9.380 11 


9-392 99 


0.607 01 


9-987 12 


7 










54 


9.380 62 


9-393 S3 


0.606 47 


9-987 09 


6 
















51 




54 






3 






3 


3 




3 


55 


9-381 13 


51 
51 
51 
51 


9-394 07 


54 
54 
54 
54 


0-605 93 


9-987 06 


3 
3 
3 


5 




56 


5 5 




54 


56 


9-381 64 


9-39461 


0.605 39 


9-987 03 


4 











9-0 


57 


9-382 15 


9-395 15 


0.604 85 


9-987 00 


3 


1 


9-3 


5-2 




58 


9-382 66 


9.395 69 


0.604 31 


9-986 97 


2 


2 


280 


27-S 




27-0 


59 


9.383 17 


9-396 23 


0-603 77 


9-986 94 


3 


1 


3 


^6-7 


45-8 




45.0 






51 




54 






4 














60 


9.383 68 


d. 


9.396 77 




0-603 23 


9-986 90 


3. 















f 


L. Cos. 


L. cat. 


;.d. 


L. Tan. 


L. Sin. 


' 


P.P. 



103° (283 ) 



(256°) 76° 



58 



(CoMttnued) 



SP; 8 - 1970 



14 (194 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(345 ) 165 



. Contd 



t 


L. Sin. 


d. 

50 
51 
50 

51 


L. Tan. 


:.d. 


L. cot. 


L. COS. 


d. 





9.383 68 


9-396 77 


54 
54 
S3 
54 


0-603 23 


9.986 90 


3 

3 
3 

3 


1 


9'38418 


9-397 31 


0.602 69 


9.986 87 


2 


9-384 69 


9.397 85 


0.602 15 


9.986 84 


3 


9.385 19 


9.398 38 


0-601 62 


9.986 81 


4 


9-385 70 


9.398 92 


0-601 08 


9.986 78 






50 




53 









5 


9.386 20 


50 
51 
SO 
50 


9.399 45 


54 
S3 

54 
53 


0-600 55 


9.986 75 


4 
3 
3 




6 


9-386 70 


9.399 99 


0-600 01 


9.986 71 


7 


9-387 21 


9-400 52 


0-599 48 


9.986 68 


8 


9-387 71 


9-401 06 


0-598 94 


9.986 65 


9 


9.388 21 


9.401 59 


0-598 41 


9.986 62 






50 




53 






3 


10 


9.388 71 


SO 
50 
SO 
SO 


9-402 12 


54 
53 
53 


0-597 88 


9.986 59 


3 
4 
3 
3 


11 


9.389 21 


9-402 66 


0.597 34 


9.986 56 


12 


9.389 71 


9.403 19 


0-596 81 


9.986 52 


13 


9-39021 


9.403 72 


0-596 28 


9.986 49 


14 


9-39071 


9.404 25 


53 


0-595 75 


9.986 46 






50 




53 






3 


IS 


9.391 21 


49 


9-404 78 


53 
53 


0-595 22 


9.986 43 


3 
4 
3 
3 


16 


9-391 70 


9-405 31 


0-594 69 


9-986 40 


17 


9.392 20 


50 
50 
49 


9.405 84 


0-594 16 


9-986 36 


18 


9-392 70 


9.406 36 


52 


0-593 64 


9.986 33 


19 


9-393 19 


9-406 89 


53 


0-593 11 


9.986 30 






50 




53 






3 


20 


9-393 69 


49 
49 
50 
49 


9-407 42 


53 
52 
S3 
52 


0-592 58 


9.986 27 


4 



3 
3 


21 


9-39418 


9-407 95 


0-592 OS 


9.986 23 


22 


9.394 67 


9.408 47 


0-591 S3 


9-986 20 


23 


9-395 17 


9.409 00 


0-591 00 


9-986 17 


24 


9.395 66 


9.409 52 


0-590 48 


9.986 14 






49 




53 






4 


25 


9.396 15 




9.410 05 




0.589 95 


9.986 10 


3 
3 

3 
4 


26 


9.396 64 


49 


9.410 57 


52 


0-589 43 


9.986 07 


27 


9:397 13 


49 


9.411 09 


52 


0-583 91 


9.986 04 


28 


9.397 62 


49 


9.411 61 


52 

53 


0.588 39 


9.986 01 


29 


9.398 11 


49 


9.412 14 


0-587 86 


9.985 97 






49 




52 









30 


9.398 60 




9-412 66 


52 
52 


0-S87 34 


9.985 94 


3 
3 
4 


31 


9.399 09 


49 


9-413 18 


0-586 82 


9.985 91 


32 


9-399 58 


49 


9.413 70 


0-586 30 


9.985 88 


33 


9.400 06 


48 


9.414 22 


52 


0-585 78 


9.985 84 


34 


9.400 55 


49 

48 


9.414 74 


52 

52 


0-585 26 


9.985 81 


3 
3 


35 


9-401 03 




9.415 26 




0.584 74 


9.985 78 




36 


9-401 52 


49 


9.415 78 


52 


0.584 22 


9.985 74 


4 
3 


37 


9.402 00 


48 


9-416 29 


51 
52 


0-583 71 


9.985 71 


38 


9.402 49 


49 


9-416 81 


0-583 19 


9.985 68 


3 


39 


9.402 97 


48 

49 


9.417 33 


52 
51 


0-582 67 


9.985 65 


3 
4 


40 


9.403 46 




9-417 84 




0-582 16 


9.985 61 




41 


9.403 94 


48 


9-41836 


52 


0-581 64 


9-985 58 


3 


42 


9.404 42 


48 


9-418 87 


51 


0.581 13 


9.985 55 


3 


43 


9.404 90 


48 


9-419 39 


52 


0.580 61 


9.985 51 


4 


44 


9-405 38 


48 


9.419 90 


51 


0.580 10 


9.985 48 


3 


45 


9.405 86 


48 


9-420 41 


51 


0-579 59 


9.985 45 


3 


46 


9.406 34 


48 


9.420 93 




0-579 07 


9.985 41 


4 


47 


9.406 82 


48 


9-421 44 


5: 


0-S78 56 


9-985 38 


3 


48 


9.407 30 


48 


9-421 95 


51 


0.578 05 


9.985 35 


3 


49 


9-407 78 


48 


9.422 46 


51 


0.577 54 


9.985 31 


4 


50 


9.408 25 


47 


9.422 97 


51 


0-577 03 


9.985 28 


3 


51 


9.408 73 


48 


9.423 48 


51 


0-576 52 


9-985 25 


3 


52 


9.409 21 


48 


9-423 99 


51 


0-576 01 


9.985 21 


4 


53 


9.409 68 


47 


9-424 50 


51 


0-575 SO 


9-985 18 


3 


54 


9.410 16 


48 


9-425 01 


51 


0-574 99 


9-985 15 


3 


55 


9.410 63 


47 


9-425 52 


51 


0.574 48 


9.985 11 


4 


56 


■ 9.411 11 


48 


9-426 03 


51 


0-573 97 


9.985 08 


3 


57 


9.411 58 


47 


9-426 53 


SO 


0-57347 


9.985 05 


3 


58 


9.412 05 


47 


9-427 04 


51 


0-572 96 


9.985 01 


4 


59 


9.412 52 


47 
48 


9-427 55 


51 

50 


0-572 45 


9.984 98 


3 
4 


60 


9.413 00 


d. 


9-428 05 


:.d 


0.571 95 


9.984 94 




/ 


L. COS. 


L. cot. 


L. Tan. 


L. Sin. 


d. 



' 


P.P. 


60 


H 


54 


53 


52 


59 


1 


0-9 


0-9 


0-9 


58 


2 


1-8 


1-8 


1-7 


57 


3 


2-7 


2-6 


2-6 


56 


4 


3-6 


3-5 


3-5 


55 


5 


4-5 


4-4 


4.3 


54 


6 


5-4 


5-3 


5-2 


53 


7 


6-3 


6-2 


6-1 


52 


8 


7-2 


71 


6.9 


51 


9 


8-1 


8-0 


7.8 


50 


10 


9-0 


8-8 


8-7 


49 


20 


18-0 


17-7 


17-3 


♦8 


30 


27.0 


26.5 


26.0 


47 


+0 


36.0 


35.3 


34.7 


46 


50 


45.0 


44-2 


43.3 


45 


* 


51 


50 


49 


44 


1 


0-8 


0-8 


0-8 


43 


2 


1-7 


1-7 


1-6 


42 


3 


2.6 


2.5 


2.4 


41 


4 


3.4 


3.3 


3-3 


40 


5 


4-2 


4-2 


4-1 


39 


6 


5-1 


5-0 


4-9 


38 


7 


6-0 


5-8 


5-7 


37 


8 


6-8 


6-7 


6-5 


36 


9 


7-6 


7-5 


7.4 


35 


10 


8-5 


8-3 


8-2 


34 


20 


17-0 


16-7 


16-3 


33 


30 


25-5 


25.0 


24.5 


32 


40 


34-0 


33.3 


32.7 


31 


50 


42.5 


41.7 


40-8 


30 


» 


48 


47 4 


3 


29 


1 


0-8 


0-8 0-1 


0-0 


28 


2 


1-6 


1-6 01 


0-1 


27 


3 


2-4 


2-4 0-2 


0-2 


26 


4 


3-2 


3-1 0-3 


0-2 


25 


5 


4-0 


3-9 0-3 


0-2 


24 


6 


4.8 


4-7 0-4 


0-3 


23 


7 


5-6 


5-5 0-5 


0-4 


22 


8 


6-4 


6-3 0-5 


0-4 


21 


9 


7-2 


7-0 0-6 


0-4 


20 


10 


8-0 


7-8 0-7 


0-5 


19 


20 


16-0 


IS -7 5.5 


10 


18 


30 


24.0 


23-5 2-^ 


1-5 


17 


») 


32.0 


31-3 , 1 


2-0 


16 


50 


40.0 


39.2 :-3 


2-5 


15 










14 




4 


4 4 


4 


13 




54 


53 52 


51 


12 










11 



1 
2 
3 
4 


6-8 


6-6 6-S 


6-4 


10 


20-2 


19-9 19-5 


19-1 


9 


33-8 


33.1 32-5 


31-9 


8 


47.2 


46.4 45.5 


44.6 


7 










6 




3 


3 3 


3 


S 




54 


53 52 


51 


4 
3 



1 
2 
3 


9-0 


8-8 8-7 


8-5 


2 


27-0 


26-5 26-0 


25-5 


1 


45.0 


44-2 43.3 


42.5 













t 


P.P. 



104 (284 ) 



(255 ) 75° 



59 



{Continued) 



SP:8 -1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 

(344°) 164 



15° (195 ) 



f 


L. Sin. 


d. 


L. Tan. 


o.d. 


L. cot. 


L. COS. 


d. 

3 
3 
4 

3 


60 


P.P. 





9.413 00 


47 
47 


9.428 05 


51 


0.571 9.5 


9.984 94 


/f 


51 


50 


49 


1 


9.413 47 


9.428 56 


50 
51 
50 


0-571 44 


9.984 91 


59 


1 


0-8 


0-8 


0-8 


2 


9.413 94 


47 

47 


9.429 06 


0-570 94 


9.984 88 


58 


2 


1-7 


1-7 


1-6 


3 


9-414 41 


9.429 57 


0-570 43 


9.984 84 


57 


3 


2-6 


2-5 


2-4 


4 


9.414 88 




9.430 07 


0-569 93 


9.984 81 


56 


4 


3.4 


3-3 


3.3 






47 




50 






4 












5 


9-415 35 


47 
46 
47 


9-430 57 


51 
50 
50 
50 


0-569 43 


9.984 77 


3 
J 

4 


55 


S 


4-2 


4-2 


4-1 


6 


9-415 82 


9.431 08 


0-568 92 


9-984 74 


54 


6 


5-1 


5-0 


4-9 


7 


9-41628 


9.431 58 


0-568 42 


9.984 71 


53 


7 


6-0 


5-8 


5-7 


8 


9.416 75 


47 


9.432 08 


0-567 92 


9.984 67 


3 


52 


8 


6-8 


6-7 


6-5 


9 


9.417 22 


9.432 58 


0-567 42 


9.984 64 


51 


9 


7-6 


7-5 


7-4 






46 




50 






4 












10 


9.417 68 


47 
46 


9.433 08 


50 
50 


0.566 92 


9.984 60 


3 


50 


10 


8.5 


8-3 


8-2 


11 


9.418 15 


9.433 58 


0.566 42 


9.984 57 


4 


49 


20 


17-0 


16-7 


16-3 


12 


9.418 61 


47 
46 


9.434 08 


50 
50 


0.565 92 


9.984 53 


3 
3 


48 


30 


25-5 


25-0 


24-5 


13 


9-419 08 


9-434 58 


0-565 42 


9.984 50 


47 


40 


34-0 


33.3 


32.7 


14 


9.419 54 


9-435 08 


0-564 92 


9.984 47 


46 


50 


42.5 


41-7 


40-8 






47 




50 






4 












15 


9.420 01 


46 


9-435 58 


49 
50 
50 

49 


0.564 42 


9.984 43 


3 
4 
3 


45 


" 


48 


47 


46 


16 


9-420 47 


46 

47 


9.436 07 


0.563 93 


9.984 40 


44 


1 


0-8 


0-8 


0-8 


17 


9.420 93 


9-436 57 


0-563 43 


9.984 36 


43 


2 


1-6 


1-6 


1-5 


18 


9.421 40 


46 


9.437 07 


0.562 93 


9-984 33 


4 


42 


3 


2-4 


2-4 


2-3 


19 


9-421 86 


9,437 56 


0-562 44 


9.984 29 


41 


4 


3-2 


3.1 


3.1 






46 




50 






3 












20 


9.422 32 


46 
46 


9.438 06 


49 
50 


0.561 94 


9.984 26 


4 
3 


40 




4-0 


3-9 


3-8 


21 


9.422 78 


9.438 5.5 


0-561 45 


9.984 22 


39 




4-8 


4-7 


4-6 


22 


9.423 24 


46 


9.439 05 


49 


0.560 95 


9.984 19 


4 


38 


4 


5-6 


5-5 


5-4 


23 


9-423 70 


46 


9.439 54 


50 


0-560 46 


9.984 15 


3 


37 


8 


6.4 


6-3 


6-1 


24 


9.424 16 


9-440 04 


0-559 96 


9.984 12 


36 


9 


7-2 


7-0 


6.9 






45 




49 






3 












25 


9.424 61 


46 
46 


9.440 53 


49 


0.559 47 


9-984 09 


4 


35 


10 


8-0 


7-8 


7-7 


26 


9.425 07 


9441 02 


49 


0.558 98 


9.984 05 


3 
4 


34 


20 


16.0 


15-7 


15-3 


27 


9.425 53 


46 


9441 51 


SO 


0-558 49 


9.984 02 


33 


30 


24-0 


23.5 


23-0 


28 


9.425 99 


45 


9442 01 


49 


0.557 99 


9-983 98 


3 


32 


40 


32.0 


31.3 


30-7 


29 


9-426 44 


9.442 50 


0.557 50 


9.983 95 




31 


50 


40.0 


39.2 


38.3 






46 




49 






4 












30 


9.426 90 


45 


9.442 99 


49 


0-55701 


9.983 91 


3 
4 

3 
4 


30 


" 


45 


44 4 


3 


31 


9.427 35 


46 


9.443 -18 


49 


0-556 52 


9.983 88 


29 


1 


0-8 


0-7 01 


0-0 


32 


9.427 81 


45 

46 


9.443 97 


49 

49 


0-556 03 


9.983 84 


2s 


2 


1.5 


1-5 0-1 


0-1 


33 


9.428 26 


9-444 46 


0-555 54 


9-983 81 


27 


3 


2.2 


2-2 0-2 


0-2 


34 


9.428 72 


45 


9444 95 


49 


0-555 05 


3.983 77 


4 


26 


4 


3-0 


2-9 0-3 


0-2 


35 


9.429 17 


45 


9-145 44 


48 


0-554 56 


9.983 73 


3 


25 


5 


3.8 


3-7 0-3 


0-2 


36 


9.429 62 


46 


9.445 92 


49 


0-554 08 


9.983 70 


4 


24 


6 


4-5 


4.4 0-4 


0-3 


37 


9.430 08 


45 
45 


9.446 4 1 


49 

48 


0-553 59 


9.983 66 


3 

4 


23 


7 


5.2 


5.1 0-5 


0-4 


38 


9-430 53 


9446 90 


0-553 10 


9.983 63 


22 


8 


60 


5.9 0-5 


0-4 


39 


9-430 98 


9447 38 


0-552 62 


9.983 59 


21 


9 


6.8 


6.6 0-6 


0-4 






45 




49 






3 












40 


9.431 43 


45 


9-447 87 


49 


0-552 13 


9.983 56 


4 


20 


10 


7-5 


7-3 0-7 


0-5 


41 


9.431 S8 


45 


9-448 36 


48 

49 
48 


0-551 64 


9.983 52 


3 
4 


19 


20 


15-0 


14.7 1.3 


1-0 


42 


9-432 33 


45 


9-448 84 


0-551 16 


9.983 49 


18 


30 


22.5 


22.0 2-0 


1-5 


43 


9.432 78 


45 


9-449 33 


0-550 67 


9.983 45 


17 


40 


30-0 


29.3 2-7 


2-0 


44 


9.433 23 




9-449 81 


0-55019 


9-983 42 


3 


16 


50 


37.5 


36.7 3.3 


2-5 






14 




48 






4 












45 


9-433 67 


45 


9-450 29 


49 
48 
48 


0-549 71 


9.983 38 


4 

3 
4 

3 


15 










46 


9-434 12 


45 
45 


9-450 78 


0.549 22 


9.983 34 


14 




4 


4 4 


4 


47 


9.434 57 


9.451 26 


0.548 74 


9.983 3 i 


13 




50 


49 4S 


47 


48 


9.435 02 


44 


9-451 7 4 


48 


0-548 26 


9.983 27 


12 










49 


9435 46 




9.452 22 


0.547 78 


9.983 24 


11 



1 
2 
3 
4 












45 




49 






4 




6.2 


6.1 6-0 


5-9 


50 


9.435 91 


44 
45 

44 
45 


9.452 71 


48 
48 


0-547 29 , 


9.983 20 


3 
4 
4 




10 


18-8 


18.4 18.0 


17.6 


51 


9.436 35 


9.453 19 


0.546 81 


9.983 17 


9 


31.2 


30-6 30.0 


29.4 


52 


9.436 80 


9.453 67 


0-546 33 


9.983 13 


8 


43.8 


42-9 42.0 


41.1 


53 


9.437 24 


9-454 15 


It 


0-545 85 


9.983 09 


7 








54 


9.437 69 


9-454 63 


0.545 37 


9.983 06 


6 




3 


3 3 


3 


55 


9.438 13 


44 

44 
44 
45 
44 


9-455 11 


48 

48 
47 
48 
48 


0-544 89 


9.983 02 


4 



4 

4 

3 


5 




51 


"50 49 


48 


56 


9.438 57 


9.455 59 


0.544 41 


9.982 99 


4 










57 


9.439 01 


9.456 06 


0-543 94 


9.982 95 


3 





85 


8-3 8-2 


8-0 


58 


9.439 46 


9-456 54 


0.543 46 


9.982 91 


2 


1 
2 


2^^ 5 


25-0 24-5 


24-0 


59 


9.439 90 


9-457 02 


0.542 98 


9.982 88 


1 


42.5 


41.7 40.8 


40.0 






44 




48 






4 




3 











9-440 34 




9.457 50 


:.d. 


0.542 50 


9.982 84 















' 


L. COS. 


a. 


L. cot. 


L. Tan. 


L. Sin. 


d. 


' 


P.P. 



105° (285°) 



(254 ) 74 



60 



{Continued) 



SP: 8 - 1970 



taBle 6 LOGARITHMS OF T RiGonometrIC FUNCTIONS —Con/t; 

(343") 163= 



16° (196 ) 





L. Sin. 


a, 

44 
44 

44 

44 


L. Tan. 


c.d. 

47 
48 

47 
48 


L. cot. 


L. COS. 


d, 


/ 


P.P. 





9-440 34 


9-457 50 


0-542 50 


. 9.982 84 


3 
4 
4 
3 


6C 










1 


9-440 78 


9-457 97 


0-542 03 


9.982 81 
9.982 77 


5S 


* 


48 


47 


46 


2 


9-441 22 


9.458 45 


0.541 5.5 


58 


1 


0-8 


0-8 


0-8 


3 


9.441 66 


9.458 92 


0.541 08 


9.982 73 


57 


2 


1-6 


1-6 


1-5 


4 


9442 10 


9.459 40 


0.540 60 


9.982 70 


56 


3 


2-4 


2-4 


2-3 






43 




47 






4- 




4 


3-2 


31 


3-1 


5 


9442 53 


44 
44 
44 
43 


9.459 87 


48 
47 
48 

47 


0.540 13 


9.982 66 


4 
3 
4 

4 


55 










6 


9442 97 


9.460 35 


0.539 65 


9.982 62 


54 


5 


4-0 


3-9 


3-8 


7 


9443 41 


9.460 82 


0.539 18 


9-982 59 


53 


6 


4-8 


4-7 


4-6 


8 


9443 85 


9.461 30 


0.538 70 


9-982 55 


52 


7 


5-6 


5-5 


5-4 


9 


9.444 28 


9-461 77 


0-538 23 


9.982 51 


51 


8 


6 -4 


6-3 


61 






44 




47 






3 




9 


7 -2 


7-0 


6-9 


10 


9.444 72 


44 
43 
43 

44 


9.462 24 


47 
48 
47 
47 


0-537 76 


9.982 48 


4 
4 
3 
4 


50 










11 


9445 16 


9.462 71 


0.537 29 


9.982 44 


49 


10 


80 


7-8 


7-7 


12 


9445 59 


9.463 19 


0.536 81 


9-982 40 


48 


20 


160 


15-7 


15-3 


13 


9446 02 


9.463 66 


0.536 34 


9-982 37 


47 


30 


24.0 


23.5 


230 


14 


9.446 46 


9.464 13 


0-535 87 


9.982 33 


46 


40 


32.0 


31.3 


30-7 






43 




47 






4 




50 


*00 


39.2 


38-3 


IS 


9446 89 


44 
43 
43 
43 


9.464 60 


47 
47 
47 
47 


0-535 40 


9.982 29 


3 
4 

4 
3 


45 










16 


9447 33 


9.465 07 


0.534 93 


9.982 26 


44 


' 


45 




43 


17 


9.447 76 


9.465 54 


0.534 46 


9.982 22 


43 


1 


0-8 


Of: 


0-7 


18 


9448 19 


9.466 01 


0.533 99 


9-98218 


42 


2 


1-5 


1-5 


1-4 


19 


9448 62 


9.466 48 


0-533 52 


9-98215 


41 


3 


2-2 


2-2 


2-2 






43 




46 






4 




4 


3-0 


2.9 


2.9 


20 


9-449 05 


43 
44 

43 
42 


9.466 94 


47 
47 
47 
46 


0-533 06 


9.982 11 


4 
3 
4 

4 


40 










21 


9-449 48 


9.467 41 


0-532 59 


9.982 07 


39 


5 


3.8 


3-7 


3-6 


22 


9449 92 


9.467 88 


0-532 12 


9.982 04 


38 


6 


4.5 


4-4 


4-3 


23 


9.450 35 


9.468 35 


0-53165 


9.982 00 


37 


7 


5-2 


5-1 


5-0 


24 


9.450 77 


9.468 81 


0.531 19 


9-98-1 96 


36 


8 


6-0 


5-9 


5;7 






43 




47 






4 




9 


6-8 


6.6 


6.4 


25 


9-451 20 


43 
43 
43 

43 


9.469 28 


47 
46 
47 
46 


0-530 72 


9.981 92 


3 
4 
4 
4 


35 










26 


9-451 63 


9-'l69 75 


0-530 25 


9-981 89 


34 


10 


7-5 


7-3 


7-2 


27 


9.452 06 


9.470 21 


0-529 79 


9-981 85 


33 


20 


15-0 


14-7 


14-3 


28 


9.452 49 


9.470 68 


0-529 32 


9-98181 


32 


30 


22.5 


22.0 


21.5 


29 


9.452 92 


9-471 14 


0.528 86 


9-981 77 


31 


40 


30-0 


29.3 


28.7 






42 




46 






3 




50 


37-5 


36.7 


35.8 


30 


9-453 34 


43 
42 
43 

42 


9.471 60 


47 
46 
46 

47 


0.528 40 


9-981 74 




30 










31 


9-453 77 


9.472 07 


0-527 93 


9-981 70 


4 
4 
3 


29 


^ 


42 


41 4 


3 


32 


9-454 19 


9.472 53 


0-527 47 


9-981 66 


28 


1 


0-7 


0-7 0-1 


0-0 


33 


9.454 62 


9.472 99 


0.527 01 


9.981 62 


27 


2 


1-4 


1-4 0-1 


0-1 


34 


9.455 04 


9.473 46 


0-526 54 


9-98159 


26 


3 


2-1 


2-0 0-2 


0-2 






43 




46 






4 




4 


2.8 


2.7 0-3 


0-2 


35 


9.455 47 


42 
43 
42 
42 


9-473 92 


46 
46 
46 
46 


0-526 08 


9-981 55 




25 










36 


9.455 89 


9.474 38 


0-525 62 


9-981 51 


4 
3 
4 


24 


5 


3-5 


3-4 0-3 


0-2 


37 


9.456 32 


9.474 84 


0-525 16 


9.981 47 


23 


6 


4-2 


41 0-4 


0-3 


38 


9.456 74 


9-475 30 


0-524 70 


9-981 44 


22 


7 


4.9 


4-8 0-5 


0-4 


39 


9.457 16 


9.475 76 


0.524 24 


9.981 40 


21 


8 


5-6 


5-5 0-5 


0-4 






42 




46 






4 




9 


6-3 


6.2 0-6 


0-4 


40 


9.457 58 


43 
42 
42 
42 


9.476 22 


46 
46 

46 
46 


0.523 78 


9.981 36 


4 
3 
4 
4 


20 










41 


9.458 01 


9.476 68 


0-523 32 


9.981 32 


19 


10 


7-0 


6-8 0-7 


0-5 


42 


9.458 43 


9.477 14 


0-522 86 


9.981 29 


18 


20 


14-0 


13-7 1-3 


1-0 


43 


9.458 85 


9.477 60 


0.522 40 


9-981 25 


17 


30 


21.0 


20.5 2-0 


1-5 


44 


9.459 27 


9.478 06 


0-521 94 


9-981 21 


16 


40 


28.0 


27.3 2-7 


20 






42 




46 






4 




50 


35.0 


34.2 3-3 


2-5 


45 


9.459 69 


42 
42 
42 
41 


9.478 52 


45 
46 
46 
46 


0.521 48 


9-981 17 


4 
3 
4 
4 


15 










46 


9.460 11 


9.478 97 


0-52103 


9-981 13 


14 




4 


4 4 


4 


47 


9-460 53 


9.479 43 


0-520 57 


9.981 10 


13 




48 


47 46 


45 


48 


9.460 95 


9.479 89 


0.520 11 


9-981 06 


12 



1 
2 
3 








49 


9-461 36 


9-480 35 


0-519 65 


9.981 02 


11 


6-0 


5.9 5.8 


5.6 






42 




45 






4 




18.0 


17.6 17.2 


16.9 


50 


9,461 78 


42 
42 
41 
42 


9-480 80 


46 
45 
46 
45 


0.519 20 


9-980 98 


4 
4 
3 
4 


10 


30.0 


29.4 28-8 


28.1 


51 


9.462 20 


9.481 26 


0.518 74 


9.980 94 


9 


42-0 


41.1 40-2 


39.4 


52 


9.462 62 


9-481 71 


0-518 29 


9-980 90 


8 


4 








53 


9.463 03 


9.482 17 


0-517 83 


9-980 87 


7 










54 


9.463 45 


9.482 62 


0-517 38 


9.980 83 


6 




3 


3 3 


3 






41 




45 






4 






4 8 


47 46 


4 5 


55 


9.463 86 


42 
41 
42 
41 


9.483 07 


46 
45 
45 
46 


0-516 93 


9.980 79 


4 
4 

4 

4 


5 










56 


9.464 28 


9.483 53 


0-516 47 


9.980 75 


4 



1 
2 
3 








57 


9.464 69 


9.483 98 


0-516 02 


9-980 71 


3 


8-0 


7-8 7.7 


7-5 


58 


9.465 11 


9.484 43 


0-515 57 


9.980 67 


2 


24-0 


23-5 23.0 


22-5 


59 


9.465 52 


9.484 89 


0-51511 


9.980 63 


1 


40.0 


39.2 38.3 


37-5 






42 




45 






3 










60 


9-465 94 




9.485 34 


:.a. 


0.514 66 


9-980 60 















/ 


L. COS. 


d. 


L. cot. 


L- Tan. 


L. Sin. 


a, 


P.P. 



106 (286 ) 



(253 ) 73 



61 



{Continued) 



SP: 8 - 1970 





TABLE 6 LOGARITHMS 


OF TRIGONOMETRIC FUNCTIONS ~ 


Contd 






17° 


197°) 


d. 

1 








(342 ) 152° 










t 


L. Sin. 


L. Tan. 


1. 


L. Cot. 


L. Cos. 






P.P. 





9.465 94 


9.485 34 


5 
5 
5 
5 

5 

■5 
5 
•5 
-5 

-5 

\S 

\S 


0-514 66 


9-980 60 


4 
4 

4 

4 


60 


» 


45 


44 


43 


1 


9.466 35 


1 

1 
1 

1 

■2 

A 

rl 

n 
n 

n 

m 
n 
n 


9.485 79 


0.514 21 


9-980 56 


59 


1 1 


0-8 


0-7 


0-7 


2 


9.466 76 


9-486 24 


0-513 76 


9-980 52 


58 


2 


1.5 


1-5 


1-4 


3 


,9-467 17 


9-486 69 


0-513 31 


9-980 48 


57 


3 


2.2 


2-2 


2-2 


4 


9.467 58 


9.487 14 


0-512 86 


9-980 44 


4 


56 


4 


3-0 


2.9 


2-9 


5 


9.468 00 


9.487 59 


0-512 41 


9-980 40 


4 


55 


5 


3-8 


3.7 


3-6 


6 


9.468 41 


9.488 04 


0-51196 


9-980 36 


4 
3 


54 


6 


4-5 


4-4 


4-3 


7 


9.468 82 


9.488 49 


0-511 51 


9-980 32 


53 


7 


5-2 


5.1 


-5-0 


8 


9.469 23 


9.488 94 


0-51106 


9-980 29 


4 


52 


8 


60 


5.9 


5.7 


9 


9.469 64 


9.489 39 


0-510 61 


9-980 25 


4 


51 


9 


6-8 


6-6 


6-4 


10 


9-470 05 


9.489 84 


0.510 16 


9.980 21 


4 


50 





.- 


7-3 


7-2 


11 


9.470 45 


9.490 29 


0.509 71 


9.980 17 


4 

4 


49 


10 


1:.: 


14-7 


14-3 


12 


9-470 86 


9.490 73 


0-509 27 


9-98013 


48 


10 


22.5 


22-0 


21-5 


13 


9.471 27 


9.491 18 


0.508 82 


9-980 09 


4 


47 


fO 


30.0 


29.3 


28-7 


14 


9-471 68 


9.491 63 


0.508 37 


9.980 05 




46 


10 


37.5 


36.7 


35-8 






n 




w 






4 












i; 


9.472 09 




9.492 07 




0.507 93 


9.980 01 


4 


45 


' 


42 


41 


40 


i( 


9.472 49 


9.492 52 


0.507 48 


9.979 97 


4 


44 


1 


0-7 


0-7 


0-7 


1- 


9.472 90 


9.492 96 


0-507 04 


9.979 93 


4. 


43 


2 


1-4 


1-4 


1-3 


ij 


9.473 30 


9.493 41 


0.506 59 


9.979 89 


3 


42 


3 


2-1 


20 


2-0 


1! 


9.473 71 


9.493 85 


0.506 15 


9.979 86 




41 


4 


2-8 


2-7 


2-7 






4( 




ts 






4r 












2( 


9.474 11 


41 
4( 
41 
4( 


9.494 30 


H 
^5 
4.4 


0-505 70 


9.979 82 


Ir 


40 


5 


3.5 


3-4 


3-3 


2- 


9.474 52 


9.494 74 


0-505 26 


9.979 78 


4 


39 


6 


4-2 


4-1 


40 


2; 


9.474 92 


9.495 19 


0.504 81 


9.979 74 


4 


38 


7 


4-9 


4.8 


4.7 


2: 


9.475 33 


9.495 63 


H 


0.504 37 


9-97970 




37 


8 


5-6 


5.5 


5-3 


2' 


9-475 73 


9.496 07 


0.503 93 


9-979 66 




36 


9 


6-3 


6.2 


6-0 






4( 




45 


















2 


9.476 13 


4 
4( 
4( 
4( 


9.496 52 


44 
44 
44 
44 


0.503 48 1 


9-979 62 




35 


10 


7-0 


6-8 


6-7 


2' 


9.476 54 


9-496 96 


0.503 04 


9-979 58 




-34 


20 


14-0 


13-7 


13-3 


2 


9,476 94 


9.497 40 


0-502 60 


9.979 54 




33 


30 


21.0 


20-5 


20.0 


2 


9.477 34 


9.497 84 


0-502 16 


9.979 50 




32 


to 


28.0 


27.3 


26.7 


2 


9.477 74 


9.498 28 


0-501 72 


9.979 46 




311 


50 


35.0 


34.2 


33.3 






41 




44 


















3 


9.478 14 


41 
4 

4' 
41 


9-498 72 


44 
44 
44 
44 


0-501 28 


9.979 42 




30 


IT 


39 


5 4 


3 


3 


9.478 54 


9.499 16 


0500 84 


9.979 38 




29 


1 


0-6 


0-1 01 


0-0 


3 


9.478 94 


9.499 60 


0.500 40 


9.979 34 




215 


2 


1-3 


0-2 0-1 


0-1 


3 


9.479 34 


9.500 04 


0-499 96 


9.979 30 




27 


3 


2-0 


0-2 0-2 


0-2 


3 


9.479 74 


9-500 48 


0-499 52 


9.979 26 




26 


4 


2-6 


0-3 0-3 


0-2 






4' 




44 


















3 


9-480 14 


4' 

4 

3 
4 

4 

3 
4 

4 
3 

4 

3 
4 
3 
3 

3 

4 
3 
3 

3 


9-50C 92 


44 
44 
43 
44 

44 

44 
43 
44 
43 

44 

43 
44 
43 
44 

43 


0-499 08 


9.979 22 




25 


5 


3.2 


0-4 0-3 


0-2 


3 


9-480 54 


9-501 36 


0-498 64 


9.979 18 




24 


6 


3.9 


0-5 




3 


9-480 94 


9-501 80 


0-498 20 


9.979 14 




23 


7 


4.6 


0-7 0'415 


0'30'4 


3 


9.481 33 


9-502 23 


0-497 77 


9-979 10 




22 


8 


5.2 


0-8 OSO-i 


m 


3 


9-481 73 


9.502 67 


0-497 33 


9.979 06 




2:1 


9 


5.8 






4 


9.482 13 


9.503 11 


0-496 89 


9.979 02 




20 


10 


6.5 


0-8 




4 


9.482 52 


9.503 55 


0-496 45 


9.978 98 




1? 


20 


13.0 


1-7 0-7 


m 


4 


9-482 92 


9.503 98 


0.496 02 


9.978 94 




18 


30 


19.5 


2-5 ,.13 


1-5 


4 


9.483 32 


9.504 42 


0-495 58 


9.978 90 




17 


40 


26.0 


3-3 "'M 


20 


4 


9.483 71 


9-504 85 


0-495 15 


9-978 86 




16 


50 


32.5 


4.2 3.3 


2.5 


4 


9.484 11 


9.505 29 


0-494 71 


9.978 82 




1!5 




5 


4 


4 


4 


9.484 50 


9-505 72 


0.494 28 


9.978 78 




14 




« 


45" 


44 


4 


9-484 90 


9-506 16 


0.493 ii4 


9.978 74 




13 










4 


9-485 29 


9-506 59 


0-'493 41 


9.978 70 




12 





4-3 
12-9 


5-6 
16-9 


5.5 

16-5 


4 


9.485 68 


9-507 03 


0-492 97 


9.978 66 




11 


1 
2 

3 


5 


9.486 07 


9-507 46 


43 
44 
43 
43 


0.492 54 


9.978 61 




10 


21-5 
3D-1 

38.7 


28.1 
39-4 


27.5 
38-5 


5 


9.486 47 


9-507 89 


0-492 11 


9.978 57 




9 


4 


5 


9.486 86 


9-508 33 


0-491 67 


9.978 53 




8 


5 


~ 




5 


9.4872 5 


9.508 76 


0-491 24 


9-978 49 




7 










5 


9.487 64 


9-509 19 


0-490 81 


9-978 45 


6 




4 


3 


3 






3 




43 












43^ 


45 


44" 


5 


9-488 03 


3 
3 
3 
3' 


9-509 62 


43 
43 
44 
43 


0-490 38 


9.978 41 




5 










5 


9.488 42 


9-510 05 


0-489 95 


9-978 37 




t 



1 
2 
3 
4 








5 


9.488 81 


9-510 48 


0-489 52 


9.978 33 


^ 


3 


5.4 


7-5 


7.3 


5 


9.489 20 


9.510 92 


0-489 08 


9.978 29 


2 


16-1 


22-5 


22.0 


5 


9.489 59 


9.511 35 


0-488 65 


9.978 25 




1 


26.9 


37.5 


36.7 






3' 




43 






\ 




37.6 








6 


-9.489 98 


d 


9.511 78 




0-488 22 


9.978 21 















L. Cos. 


L. cot. 


:.cl. 


L. Tan. 


L. Sin. 


d. 


/ 


P.P. 


m 


r" (287 ) 


(252°) 72 



62 



(Continued) 



SP: 8 - 1970 



18° (198°) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS- 

(341°) 161° 



■Contd 



■ 


L. Sin. 


d. 


L. Tan., 


:.d 

43 
43 
42 
43 


L. Cot. 


L. Cos. 


d. 


60 


p.p. 





9-489 98 


39 
39 
39 
38 


9-511 78 


0-488 22 


9-978 21 


4 
5 

4 
4 


m 


43 


42 


41 


1 


9-490 37 


9-512 21 


0.487 79 


9.978 17 


59 


1 


0-7 


0-7 


0-7 


2 


9-490 76 


9-512 64 


0-487 36 


9-978 12 


58 


2 


1.4 


1-4 


1-4 


3 


9-491 15 


9-513 06 


0-486 94 


9-978 08 


57 


3 


2-2 


2-1 


2-0 


4 


9-491 53 


9-513 49 


0-486 51 


9.978 04 


56 


4 


2-9 


2.8 


2.7 






39 




43 






4 












5 


9,491 92 


39 
38 
39 
39 


9-513 92 


43 
43 
42 
43 


0-486 08 


9-978 00 


4 
4 

4 
4 


55 


5 


3-6 


3-5 


3-4 


6 


9-492 31 


9-514 35 


0-485 65 


9-977 96 


54 


6 


4-3 


4-2 


4-1 


7 


9.492 69 


9-514 78 


0-485 22 


9.977 92 


53 


7 


50 


4-9 


4-8 


8 


9.493 08 


9-515 20 


0-484 80 


9-977 88 


52 


8 


5-7 


5-6 


5-5 


9 


9.493 47 


9-515 63 


0-484 37 


9-977 84 


51 


9 


6-4 


6-3 


6-2 






38 




43 






5 












10 


9-493 85 


39 
38 
38 
39 


9.516 06 


♦2 
43 
43 
42 


0-483 94 


9.977 79 


4 
4 
4 

4 


50 


10 


7-2 


7-0 


6-8 


11 


9-494 24 


9-516 48 


0.483 52 


9-977 75 


49 


iO 


14-3 


140 


13-7 


12 


9.494 62 


9-516 91 


0.483 09 


9-977 71 


48 


)0 


21-5 


21-0 


20.5 


13 


9-495 00 


9-517 34 


0.482 66 


9.977 67 


47 


W 


28.7 


28.0 


27.3 


14 


9-495 39 


9.517 76 


0-482 24 


9.977 63 


46 


ro 


35.8 


35-0 


34.2 






38 




43 






4 












IS 


9.495 77 


38 
39 
38 
38 


9.518 19 


42 
42 
43 
42 


0-48181 


9-977 59 


5 

4 
4 

4 


45 


m 


39 


38 


37 


16 


9.496 15 


9.518 61 


0-481 39 


9.977 54 


44 


1 


0-6 


0-6 


0-6 


17 


9.496 54 


9.519 03 


0-480 97 


9-977 50 


43 


2 


1-3 


1-3 


1.2 


18 


9.496 92 


9.519 46 


0.480 54 


9-977 46 


42 


3 


2-0 


1-9 


1-8 


19 


9.497 30 


9-519 88 


0.480 12 


9-977 42 


41 


4 


2.6 


2-5 


2-5 






38 




43 






4 












20 


9.497 68 


38 
38 
38 
38 


0-520 31 


42 
42 
42 
43 


0-479 69 


9.977 38 


4 
5 
4 

4 


40 


5 


3-2 


3.2 


3-1 


21 


9-498 06 


9-520 73 


0-479 27 


9.977 34 


39 


6 


3-9 


3-8 


3-7 


22 


9-498 44 


9.521 15 


0-478 85 


9.977 29 


38 


7 


4-6 


4-4 


4-3 


23 


9-498 82 


9-521 57 


0.478 43 


9-977 25 


37 


8 


5-2 


5.1 


4-9 


24 


9.499 20 


9-522 00 


0-478 00 


9-977 21 


36 


9 


5.8 


5-7 


5.6 






38 




42 






4 












25 


9.499 58 


38 
38 
38 
38 


9.522 42 


42 
42 
42 
42 


0.477 58 


9-977 17 


4 
5 
4 
4 


35 


10 


6-5 


6-3 


6-2 


26 


9.499 96 


9-522 84 


0-477 16 


9-977 13 


34 


!0 


13-0 


12-7 


12-3 


27 


9-500 34 


9-523 26 


0.476 74 


9.977 08 


33 


10 


19-5 


19.0 


18.5 


28 


9-500 72 


9.523 68 


0.476 32 


9.977 04 


32 


to 


26-0 


25.3 


24-7 


29 


9-501 10 


9.524 10 


0-475 90 


9-977 00 


31 


!0 


32-5 


31-7 


30-8 






38 




42 






4 












30 


9.501 48 


37 
38 
38 
37 


9.524 52 


42 
42 
42 
42 


0.475 48 


9-976 96 


5 

4 
4 

4 


30 


» 


36 


5 


4 


31 


9-501 83 


9-524 94 


0-475 06 


9-976 91 


29 


1 


0.6 


01 


0-1 


32 


9-502 23 


9-525 36 


0.474 64 


9.976 87 


28 


2 


1-2 


0-2 


01 


33 


9-502 61 


9.525 78 


0-474 22 


9.976 83 


27 


3 


1-8 


0-2 


0-2 


34 


9-502 98 


9.526 20 


0-473 80 


9.976 79 


26 


4 


2-4 


0-3 


0-3 






38 




41 






S 












35 


9-503 36 


38 
37 
38 
37 


9-526 61 


42 
42 
42 
42 


0.473 39 


9.976 74 




25 


5 


3-0 


0-4 


0-3 


36 


9-503 74 


9-527 03 


0.472 97 


9.976 70 


4 
4 
4 
5 


24 


6 


3-6 


0-5 


0-4 


37 


9-504 11 


9-527 45 


0-472 55 


9.976 66 


23 


7 


4-2 


0-6 


0-5 


38 


9-504 49 


9-527 87 


0-472 13 


9.976 62 


22 


8 


4-8 


0-7 


0-5 


39 


9.504 86 


9-528 29 


0.471 71 


9.976 57 


21 


9 


5-4 


0-8 


0-6 






37 




41 






4 












40 


9.505 23 


38 
37 
37 
38 


9.528 70 


42 
41 
42 
42 


0.471 30 


9.976 63 




20 


10 


6-C 


0-8 


0-7 


41 


9.505 61 


9.529 12 


0.470 88 


9.976 49 


4 
4 
5 
\ 


19 


>0 


12-0 


1-7 


1-3 


42 


9-505 98 


9.529 53 


0.470 47 


9.976 45 


18 


to 


180 


2-5 


2-0 


43 


9-506 35 


9.529 95 


0-470 05 


9.976 40 


17 


w 


24.0 


3.3 


2-7 


44 


9.506 73 


9.530 37 


0-469 63 


9.976 36 


16 


iO 


30.0 


4-2 


3-3 






37 




41 






4 












45 


9-507 10 


37 
37 
37 
37 


9.530 78 


42 
41 
41 
42 


0.469 22 


9-976 32 




15 










46 


9-507 47 


9.531 20 


0.468 80 


9-976 28 


4 
5 
4 


14 




5 


5 


5 


47 


9-507 84 


9-531 61 


0-468 39 


9.976 23 


13 




43 


42 


41 


48 


9.508 21 


9.532 02 


0-467 98 


9-976 19 


12 











49 


9.508 58 


9.532 44 


0-467 56 


9-97615 


4 


11 


1 


4-3 


4-2 


4-1 






38 




41 






5 




2 


12-9 


12-6 


12-3 


50 


9-508 96 


37 
37 
37 
36 

37 


9.532 85 




0.467 15 


9.976 10 




10 


3 


21-5 


21-0 


20-5 


51 


9-509 33 


9.533 27 


42 
41 
41 
41 

42 


0.466 73 


9-976 06 


4 


9 


4 


30.1 


29.4 


28.7 


52 


9-509 70 


9.533 68 


0.466 32 


9-976 02 


4 
5 
4 

4 


8 


5 


38.7 


37.8 


36.9 


53 


9-510 07 


9.534 09 


0.465 91 


9-975 97 


7 




4 


4 


4 


54 


9-510 43 


9.534 50 


0.465 50 


9-975 93 


6 




43 


4 2 


"« 


55 


9.510 80 


37 
37 
37 
36 


9.534 92 


41 
41 
41 
41 


0.465 08 


9.975 89 


5 
4 

4 

5 


5 



1 
2 
3 
4 








56 


9.511 17 


9-535 33 


0.464 67 


9.975 84 


4 


5-4 


5-2 


5-1 


57 


9-511 54 


9.535 74 


0-464 26 


9-975 80 


3 


16-1 


15-8 


15-4 


58 


9-511 91 


9.536 15 


0-463 85 


9-975 76 


2 


26-9 


26.2 


25.6 


59 


9.512 27 


9.536 56 


0-463 44 


9-975 71 


1 


37.6 


36-8 


35-9 






37 




41 






4 










60 


9.512 64 


— 


9.536 97 


;.d. 


0.463 03 


9.975 67 















/ 


L. Cos. 


d. 


L. Cot. 


L. Tan. 


L. Sin. 


d. 


r 


P.P. 



108° (288°) 



(251 ) 71° 



63 



{fiontinuei) 



SP:8-1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 

(340 ) 160" 



19» (1990) 



109" (289 ) 





L. Sin. 


d. 


L. Tan. 


c.d. 


L. cot. 


L. COS. 


1 

4 


>0 






P.P. 







9-512 64 


37 
37 
36 
37 

36 

37 
36 
37 
36 


9-536 97 


41 
41 


0.463 03 


9-975 67 


41 


40 


39 


1 


9.513 01 


9.537 38 


0.462 62 


9-975 63 


5 


i9 


1 


0-7 


0-7 


0-6 


2 


9-513 38 


9.537 79 


41 

41 


0-462 21 


9.975 58 


4 


>8 


2 


1-4 


1-8 


1-3 


3 


9-513 74 


9.538 20 


0-461 80 


9-975 54 


4 


17 


3 


2-0 


20 


2-0 


4 


9-51411 


9.538 61 


41 
41 


0-461 39 


9.975 50 


5 
4 


(6 


4 


2-7 


2-7 


2.6 


5 


9-514 47 


9-539 02 


0-460 98 


9-975 45 


;5 


5 


3-4 


3-3 


3.2 


6 


9-514 84 


9-539 43 




0-460 57 


9-975 41 


5 


i4 


6 


4-1 


4-0 


3-9 


7 


9-515 20 


9-539 84 


4: 
40 


0-46016 


9.975 36 


4 


>3 


7 


4-8 


4-7 


4-6 


8 


9-515 57 


9-540 25 


0-459 75 


9.975 32 


4 


52 


8 


5-5 


5-3 


5-2 


9 


9-515 93 


9-540 65 




0-459 35 


9-975 28 




51 


9 


6-2 


6-0 


5.8 






36 




41 






5 












10 


9-516 29 


37 
36 
36 
36 


9.541 06 


41 
40 
41 

41 


0-458 94 


9-975 23 


4 


50 


10 


6-8 


6-7 


6-5 


11 


9-516 66 


9.541 47 


0-458 53 


9-975 19 


4 


19 


>0 


13-7 


13-3 


13-0 


12 


9-517 02 


9.541 87 


0-458 13 


9-975 15 


5 


(8 


!0 


20-5 


20-0 


19.5 


13 


9-517 38 


9.542 28 


0.457 72 


9-975 10 


4 


\1 


W 


27.3 


26-7 


26.0 


14 


9-517 74 


9.542 69 




0.457 31 


9-975 06 




\(> 


50 


34.2 


33-3 


32.5 






37 




40 






5 












15 


9-51811 


36 
36 
36 
36 


9.543 09 


41 


0-456 91 


9.975 01 


4 


\S 


tt 


37 


36 


35 


16 


9-518 47 


9.543 50 


40 


0.456 50 


9.974 97 


5 


H 


1 


0-6 


0-6 


0-6 


17 


9.518 83 


9.543 90 


41 


0-456 10 


9.974 92 


4 


43 


2 


1-2 


1-2 


1-2 


18 


9.519 19 


9.544 31 


40 


0.455 69 


9.974 88 


4 


42 


3 


1-8 


1-8 


1-8 


19 


9.519 55 


9.544 71 




0-455 29 


9.974 84 




41 


4 


2-5 


2-4 


2-3 






36 




41 






5 












20 


9.519 91 


36 
36 
36 
36 


9-545 12 


40 


0-454 88 


9-974 79 


4 


40 


5 


31 


3-0 


2-9 


21 


9-520 27 


9-545 52 


41 


0-454 48 


9-974 75 


5 


39 


6 


3-7 


3-6 


3-5 


22 


9.520 63 


9.545 93 


40 


0-454 07 


9.974 70 


4 


38 


7 


4-3 


4-2 


4-1 


23 


9.520 99 


0.546 33 


4c( 


0.453 67 


9.974 66 


5 


37 


8 


4.9 


4-8 


4.7 


24 


9.521 35 


9.546 73 




0.453 27 


9.974 61 




36 


9 


5.6 


5-4 


5.2 






36 




41 






4 












25 


9.521 71 


36 
35 
36 
36 


9-547 14 


40 


0-452 86 


9-974 57 


4 


35 


10 


6-2 


6-0 


5.8 


26 


9.522 07 


9.547 54 


40 


'0-452 46 


9-974 S3 


5 


34 


20 


12-3 


12.0 


11-7 


27 


9-522 42 


9.547 94 




0.452 06 


9.974 48 


4 


33 


30 


18.5 


18.0 


17.5 


2J 


9-522 78 


9.548 35 


4:> 


0-451 65 


9.974 44 


5 


32 


40 


24.7 


24.0 


23-3 


2? 


9.523 14 


9.548 75 




0-451 25 


9.974 39 




31 


50 


30-8 


30.0 


29-2 






36 




4c> 






4 












3( 


9.523 50 


35 
36 
35 
36 

35 

36 
35 
36 
35 


9.549 15 


40 

4c> 
40 


0-450 85 


9.974 35 


5 


30 


n 


34 


5 


4 


31 


9-523 85 


9.549 55 


0.450 45 


9-974 30 


4 


29 


1 


0-6 


0-1 


01 


3: 


9-524 21 


9.549 95 


0-450 05 


9-974 26 


5 


28 


2 


1-1 


0-2 


0-1 


3: 


9.524 56 


9-550 35 


40 


0-449 65 


9.974 21 


4 


27 


3 


1-7 


0-2 


0-2 


3^ 


9.524 92 


9-550 75 


40 


0-449 25 


9.974 17 


5 


26 


4 


2-3 


0-3 


0-3 


3; 


9-525 27 


9.551 1.5 


40 


0-448 85 


9.974 12 


4 


25 


5 


2.8 


0-4 


0-3 


3( 


9.525 63 


9-55155 


40 
40 
40 


0-448 45 


9-974 08 


5 


24 


6 


3-4 


0-5 


0-4 


3: 


9-525 98 


9.551 95 


0-448 05 


9-974 03 


^ 


23 


7 


4-0 


0-6 


0-5 


3! 


9-526 34 


9-5S2 3.5 


0-447 65 


9.973 99 


c 


22 


8 


4-5 


0-7 


0-5 


3< 


9-526 69 


9-552 75 


0-447 25 


9.973 94 


■' 


21 


9 


5-1 


0-8 


0-6 






36 




40 






4 












41 


9-527 05 


35 
35 
36 
35 


9-553 15 


40 
. ) 


0-446 85 


9-973 90 


5 


2a 


10 


5-7 


0-8 


0-7 


4: 


9.527 40 


9-553 55 


0-446 45 


9-973 85 


4 


19 


20 


11-3 


1-7 


1-3 


4; 


9-527 75 


9.553 95 


0.446 05 


9.973 81 


5 


18 


30 


17.0 


2-5 


2-0 


4: 


9.528 11 


9-SS4 34 


li) 


044.5 66 


9.973 76 


4 


17 


40 


22.7 


3.3 


2-7 


A' 


9-528 46 


9.554 74 


0-445 26 


9,973 72 




16 


50 


28.3 


4.2 


3.3 






35 




40 






; 












4; 


9.528 81 


35 
35 
35 
35 


9.555 14 


40 
39 


0-444 86 


9-973 67 


4 


15 




5 


5 


5 


4< 


9.529 16 


9-555 54 


0-444 46 


9.973 63 


q 


14 




41 


40 


39 


4: 


9-529 51 


9555 93 


40 
40 


0444 07 


9.973 58 


s 


13 










4i 


9.529 86 


9.556 33 


0.443 67 


9.973 53 


4 


12 











4 


9-530 21 


9.556 73 


0-443 27 


9.973 49 




11 


1 


4-1 


4-0 


3-9 






35 




39 






5 




2 


12-3 


12-0 


11-7 


50 


9-530 56 


36 
34 
35 
35 


9.557 12 


40 
39 
40 


0.442 88 


9.973 44 


4 
5 
4 


[0 


3 


205 


20-0 


19-5 


51 


9-530 92 


9-557 52 


0.442 48 


9-973 40 


9 


4 


28.7 


28-0 


27.3 


52 


9-531 26 


9-557 91 


0.442 09 


9-973 35 


8 


5 


36.9 


36-0 


35.1 


53 


9.531 61 


9.558 31 


39 


0441 69 


9.973 31 


s 


7 










54 


9-53196 


9.558 70 


0-441 30 


9.973 26 




6 




4 


4 


4 






35 




40 






4 






41" 


40 


39" 


55 


9.532 31 


35 
35 
35 
34 


9.559 10 


39 


0-440 90 


9.973 22 


5 


5 



1 
2 
3 
4 








56 


9.532 66 


9.559 49 


40 
39 
39 


0-440 51 


9.973 17 


5 


4 


5-1 


5.0 


4.9 


57 


9.533 01 


9.559 89 


0440 11 


9.973 12 


4 


3 


15-4 


150 


14-6 


58 


9.533 36 


9-560 28 


0.439 72 


9-973 08 


5 


2 


25.6 


25.0 


24.4 


59 


9.533 70 


9-560 67 


0-439 33 


9-973 03 




1 


35.9 


35-0 


34.1 






35 




40 






4 










60 


9.534 05 




9.561 07 




0.438 93 


9.972 99 






f 










r 


L. Cos. 


d. 


L. cot. 


c.d 


L. Tan. 


L. Sin. 


a. 


P.P. 



(250 ) 70° 



64 



[Continued) 



SP:8- 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS — Co«W 

(339 ) 159 



20" (200 ) 



/ 


L. Sin. 


d. 


L. Tan. 


.d. 


L. cot. 


L. COS. 


d. 




P.P. 





9'534 05 


35 
35 
34 
35 


9-56107 


39 
39 
39 
40 


0-438 93 


9-972 99 


5 
5 

4 

5 


60 


- 


40 


39 


38 


1 


9-534 40 


9.561 46 


0-438 54 


9-972 94 


59 


1 


0-7 


0-6 


0-6 


2 


9.534 7s 


9.561 85 


0.438 IS 


9.972 89 


58 


2 


1-3 


1-3 


1-3 


3 


9-535 09 


9.562 24 


0-437 76 


9.972 85 


57 


3 


2-0 


2-0 


1-9 


4 


9-535 44 


9-562 64 


0.437 36 


9.972 80 


56 


4 


2.7 


2.6 


2-5 






34 




39 






4 












5 


9.535 78 


35 
34 
35 
34 


9.563 03 


39 
39 
39 
39 


0.436 97 


9.972 76 


5 
5 

4 

5 


55 


5 


3-3 


3-2 


3.2 


6 


9-536 13 


9.563 42 


0.436 58 


9.972 71 


54 


6 


4-0 


3-9 


3-8 


7 


9-536 47 


9.563 81 


0-436 19 


9.972 66 


53 


7 


4.7 


4-6 


4-4 


8 


9-536 82 


9-564 20 


0.435 80 


9-972 62 


52 


8 


5-3 


5-2 


51 


9 


9-537 16 


9.564 59 


0-435 41 


9-972 57 


51 


9 


6-0 


5-8 


5-7 






35 




39 






5 












10 


9 537 51 


34 
34 
35 

34 


9.564 98 


39 
39 
39 
39 


0-435 02 


9-972 52 


4 
5 
5 

4 


50 


10 


6-7 


6-5 


6-3 


11 


9.537 85 


9 565 37 


0-434 63 


9-972 48 


^9 


20 


13-3 


130 


12-7 


12 


9.538 19 


9-565 76 


0.434 24 


9-972 43 


^8 


30 


20.0 


19-5 


19-0 


13 


9.538 54 


9.566 15 


0-433 85 


9-972 38 


M 


40 


26.7 


26-0 


25-3 


14 


9.538 88 


9.566 54 


0-433 46 


9-972 34 


t6- 


50 


33.3 


32-5 


31-7 






34 




39 






5 












15 


9-539 22 


35 
34 
34 
34 


9.566 93 


39 
39 
39 
39 


0-433 07 


9-972 29 


5 
4 
5 
5 


^5 


" 


37 


35 


34 


16 


9.539 57 


9.567 32 


0.432 68 


9-972 24 


H 


1 


0-6 


0-6 


0-6 


17 


9.539 91 


9.567 71 


0-432 29 


9.972 20 


« 


2 


1-2 


1-2 


1-1 


18 


9.540 25 


9.568 10 


0.431 90 


9.972 15 


\1 


3 


1-8 


1-8 


1-7 


19 


9.540 59 


9.568 49 


0.431 51 


9.972 10 


W 


4 


2-5 


2-3 


2-3 






34 




38 






4 












20 


9.540 93 


34 
34 
34 
34 


9.568 87 


39 
39 
39 
38 


0.431 13 


9-972 06 


5 
5 

4 


40 


5 


3-1 


2-9 


2-8 


21 


9-541 27 


9.569 26 


0.430 74 


9-972 01 


39 


6 


3-7 


3-5 


3-4 


22 


9-541 61 


9-569 65 


0.430 35 


9-971 96 


38 


7 


4-3 


4-1 


40 


23 


9.541 95 


9.570 04 


0-429 96 


9-971 92 


37 


8 


4-9 


4.7 


4-5 


24 


9-542 29 


9-570 42 


0.429 58 


9-971 87 





36 


9 


5-6 


5.2 


5-1 






34 




39 






5 












25 


9-542 63 


34 
34 
34 
34 


9.570 81 


39 

38 
39 
38 


0.429 19 


9.971 82 


4 
5 
5 

5 


35 


10 


6-2 


5.8 


5-7 


26 


9-542 97 


9.571 20 


0.428 80 


9-971 78 


34 


20 


12-3 


11-7 


11-3 


27 


9-543 31 


9-571 58 


0-428 42 


9-971 73 


33 


30 


18.5 


17-5 


17.0 


28 


9.543 65 


9.571 97 


0.428 03 


9.971 6S 


32 


40 


24.7 


23.3 


22-7 


29 


9-543 99 


9-572 35 


0.427 65 


9.971 63 


31 


50 


30.8 


29-2 


28-3 






34 




39 






4 












30 


9.544 33 


33 

34 
34 
33 


9-572 74 


38 
39 
38 
39 


0.427 26 


9-971 59 


5 

5 
4 

5 


JO 


" 


33 


5 


4 


31 


9-544 66 


9.573 12 


0.426 88 


9.971 54 


29 


1 


0-6 


01 


0-1 


32 


9-545 00 


9-573 51 


0.426 49 


9-971 49 


28 


2 


11 


0-2 


0-1 


33 


9.545 34 


9.573 89 


.0-426 11 


9-971 45 


27 


3 


1-6 


0-2 


0-2 


34 


9.545 67 


9-574 28 


0-425 72 


9.971 40 


26 


4 


2-2 


0-3 


0-3 






34 




38 






5 












35 


9.546 01 


34 
33 
34 
33 


9.574 66 


38 
39 
38 
38 


0.425 34 


9-971 3S 


5 
4 
5 
5 


25 


5 


2-8 


0-4 


0-3 


36 


9-546 3 5 


9-575 04 


0.424 96 


9.971 30 


24 


6 


3-3 


0-5 


0-4 


37 


9-546 68 


9.575 43 


0.424 57 


9-971 26 


23 


7 


3-8 


0-6 


0-5 


38 


9-547 02 


9-575 81 


0.424 19 


9-971 21 


22 


8 


4-4 


0-7 


0-5 


39 


9.547 35 


9.576 19 


0.423 81 


9.971 16 


21 


9 


5-0 


0-8 


0-6 






34 




39 






5 












40 


9.547 69 


33 
34 
33 
34 


9-576 58 


38 
38 
38 
38 


0.423 42 


9.971 11 


4 
5 

5 

5 


20 


10 


5-5 


0-8 


0-7 


41 


9.548 02 


9-576 96 


0.423 04 


9.971 07 


19 


20 


11-0 


1-7 


1-3 


42 


9.548 36 


9-577 34 


0.422 66 


9.971 02 


18 


30 


16-5 


2-5 


2-0 


43 


9.548 69 


9-577 72 


0.422 28 


9-970 97 


17 


40 


22-0 


3-3 


2-7 


44 


9-549 03 


9.578 10 


0.421 90 


9-970 92 


16 


50 


27-5 


4-2 


3-3 






33 




39 






5 












45 


9.549 36 


33 
34 
33 
33 


9,578 49 


38 
38 
38 
38 


0.42151 


9-970 87 


4 
5 
5 


15 




5 


5 


5 


46 


9.549 69 


9.578 87 


0.421 13 


9-970 83 


14 




40 


39 


38 


47 


9.550 03 


9.579 25 


0.420 75 


9.970 78 


13 










48 


9.550 36 


9-579 63 


0.420 37 


9.970 73 


12 











49 


9.550 69 


0-58001 


0.419 99 


9.970 68 


5 


11 


1 


4-0 


3-9 


3-8 






33 




38 






5 




2 

3 
4 


12-0 


11-7 


11-4 


50 


9.551 02 


34 
33 
33 
33 


9.580 39 


38 
38 
38 
38 


0.419 61 


9-970 63 




10 


20-0 


19-5 


19-0 


51 


9-551 36 


9-580 77 


0.419 23 


9.970 59 


4 


9 


28*0 


27.3 


26-6 


52 


9.551 69 


9.581 15 


0.418 85 


9-970 54 


5 
5 

5 


8 


5 


36-0 


35.1 


34.2 


53 


9.552 02 


9.581 53 


0-418 47 


9-97049 


7 










54 


9-552 35 


9.581 91 


0-418 09 


9.970 44 


6 




5 


4 


4 






33 




38 






5 






37 


39 


38 


55 


9.552 68 


33 
33 
33 
33 


9-582 29 


38 
37 
38 
38 


0.417 71 


9.970 39 




5 




1 
2 
3 
4 
5 








56 


9-553 01 


9-582 67 


0.417 33 


9-970 35 


4 
5 
5 
5 


4 


3-7 


4-9 


4-8 


57 


9.553 34 


9-583 04 


0-416 96 


9-970 30 


3 


11-1 


14-6 


14-2 


58 


9.553 67 


9-58342 


0-416 58 


9.970 25 


2 


.-.8-5 


24.4 


23.8 


59 


9-554 00 


9-583 80 


0.416 20 


9-970 20 


1 


25.9 


34.1 


33.2 






33 




38 






5 




33.3 


, 





60 


9-554 33 




9.584 18 




0-415 82 


9.970 15 













r 


L. COS. 


d. 


L. cot. 


;.d 


L. Tan. 


L. Sin. 


d. 


P.P. 



110° (290°) 



(249 ) 69 



65 



{Continued) 



SP: 8 - 1970 



21 (201 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(338°) 158° 



■ Contct 





L. Sin. 


d. 


L. Tan. 


C.d. 

37 
38 
38 


L. Cot. 


L. COS. 


d. 


f 

60 


P.P. 





9.554 33 


33 
33 
33 
32 

33 

33 
33 
32 
33 

33 

32 
33 
32 
33 

32 

33 
32 
33 
32 

32 

33 
32 
32 
33 

32 

32 
32 
32 
32 

33 


9-584 18 


0-415 82 


9.970 15 


5 
5 

4 

5 

5 

5 
5 

5 

5 

5 

4 
5 
5 

5 

5 

S 
5 

S 
5 

5 


m 


38 


37 


36 


1 


9.554 66 


9.584 55 


0-415 45 


9-97010 


59 


1 


0-6 


0-6 


0-6 


2 


9.554 99 


9.584 93 


0-415 07 


9-970 05 


58 


2 


1.3 


1.2 


1.2 


3 


9.555 32 


9.585 31 


0-414 69 


9.970 01 


57 


3 


1-9 


1-8 


1-8 


4 


9.555 64 


9.585 69 


38 

37 

38 
37 
38 
38 


0-414 31 


9.969 96 


56 


4 


2-5 


2-5 


2-4 


5 


9.555 97 


9.586 06 


0.413 94 


9.969 91 


55 


5 


3.2 


3-1 


30 


6 


9.556 30 


9-586 44 


0-413 56 


9.969 86 


54 


6 


3.8 


3-7 


3-6 


7 


9.556 63 


9-586 81 


0.413 19 


9.969 81 


53 


7 


4.4 


4-3 


4-2 


8 


9.556 95 


9.587 19 


0.412 81 


9-969 76 


52 


8 


51 


4.9 


4-8 


9 


9-557 28 


9.587 57 


0.412 43 


9-969 71 


51 


9 


5.7 


5.6 


5.4 


10 


9.557 61 


9-587 94 


37 


0.412 06 


9.969 66 


50 


10 


6-3 


6-2 


60 


11 


9.557 93 


9-588 32 


38 
37 
38 


0-4U68 


9.969 62 


49 


20 


12-7 


12-3 


120 


12 


9.558 26 


9-588 69 


0-41131 


9.969 57 


48 


30 


19.0 


18.5 


18.0 


13 


9-558 58 


9.589 07 


0-410 93 


9.969 52 


47 


40 


25.3 


24.7 


24.0 


14 


9-558 91 


9.589 44 


37 


0-410 56 


9.969 47 


46 


50 


31-7 


30-8 


300 


15 


9-559 23 


9-589 81 


37 


0.410 19 


9.969 42 


45 





33 


32 


31 


16 


9.559 56 


9-590 19 


38 


0-409 81 


9.969 3V 


44 


1 


0-6 


0-5 


0-5 


17 


9.559 88 


9-590 56 


37 


0-409 44 


9.969 32 


43 


2 


1-1 


1.1 


10 


18 


9,560 21 


9-590 94 


38 
37 


0-409 06 


9.969 27 


42 


3 


1-6 


1-6 


1.6 


19 


9.560 53 


9-591 31 


0.408 69 


9.969 22 


41 


4 


2-2 


2-1 


21 


20 


9.560 85 


9-591 68 


37 


0.408 32 


9.969 17 


5 
5 
4 


40 


5 


2.8 


2-7 


2-6 


21 


9-561 18 


9.592 05 


37 


0-407 95 


9-969 12 


39 


6 


3.3 


3-2 


3.1 


22 


9.561 50 


9.592 43 


38 


0.407 57 


9-969 07 


38 


7 


3.8 


3-7 


4-6 


23 


9-561 82 


9.592 80 


37 


0-407 20 


9.969 03 


37 


8 


4.4 


4-3 


4-1 


24 


9-562 15 


9.593 17 


37 


0.406 83 


9.968 98 


5 

5 
5 

5 
5 

5 

5 

5 

5 
5 

5 

5 
5 

5 
5 

5 

5 

5 

5 


36 


9 


5-0 


4-8 


4-6 


25 


9.562 47 


9-593 54 


37 


0.406 46 


9.968 93 


35 


10 


5-5 


5-3 


5-2 


26 


9-562 79 


9-593 91 


37 
38 


0.406 09 


9-968 88 


34 


20 


11-0 


10-7 


10-3 


27 


9-563 11 


9.594 29 


0-405 71 


9.968 83 


33 


30 


16.5 


160 


15.5 


28 


9,563 43 


9.594 66 


37 


0-405 34 


9.968 78 


32 


40 


22.0 


21.3 


20-7 


29 


9-563 75 


9.595 03 


37 


0-404 97 


9-968 73 


31 


50 


27.5 


26-7 


25-8 


30 


9-564 08 


9-595 40 


37 


0.404 60 


9.968 68 


30 


» 


6 


5 


4 


31 


9-564 40 


32 


9-595 77 


37 


0.404 23 


9.968 63 


29 


1 


0-1 


0-1 


0-1 


32 


9.564 72 


32 


9.596 14 


37 


0-403 86 


9.968 58 


28 


2 


0-2 


0-2 


01 


33 


9-565 04 


32 
32 

32 


9.596 51 


37 


0-403 49 


9,968 53 


27 


3 


0-3 


0-2 


0-2 


34 


9.565 36 


9.596 88 


37 


0.403 12 


9.968 48 


26 


4 


0-4 


0-3 


0-3 


35 


9.565 68 


9-597 25 


37 


0.402 75 


9.968 43 


25 


5 


0-5 


0-4 


0-3 


36 


9.565 99 


31 


9.597 62 


37 


O-402 38 


9.968 38 


24 


6 


0-6 


OS 


0-4 


37 


9-566 31 


32 


9597 99 


37 


0.402 01 


9.968 33 


23 


7 


0-7 


0-6 


0-5 


38 


9.566 63 


32 


9-598 35 


36 


0.401 65 


9.968 28 


22 


8 


0-8 


0-7 


0-5 


39 


9,566 95 


32 


9-598 72 


37 


0.401 28 


9.968 23 


21 


9 


0-9 


0-8 


0-6 


40 


9,567 27 


32 


9.599 09 


37 


0-400 91 


9-968 18 


20 


10 


1-0 


0-8 


0-7 


41 


9.567 59 


32 


9-59946 


37 


0-400 54 


9-968 13 


19 


20 


2-0 


1.7 


1-3 


42 


9567 90 


31 


9-599 83 


37 


0-400 17 


9.968 08 


18 


30 


3-0 


2-5 


20 


43 


9-568 22 


32 


9-600 19 


36 


0.399 81 


9.968 03 


17 


40 


4-0 


3-3 


2-7 


44 


9-568 54 


32 


9-600 56 


37 


0.399 44 


9.967 98 




5 

5 
5 
5 

6 


16 


50 


50 


4-2 


3.3 


45 


9.568 86 


32 


9-600 93 


37 


0-399 07 


9.967 93 


15 




6 


5 


5 


46 


9.569 17 


31 


9-601 30 


37 


0-398 70 


9-967 88 


14 




37 


38 


37 


47 


9.569 49 


32 


9.601 66 


36 


0-398 34 


9.967 83 


13 










48 


9.569 80 


31 


9.602 03 


37 


0.397 97 


9-967 78 


12 





3-1 


3-8 


3.7 


49 


9.570 12 


32 


9.602 40 


37 


0-397 60 


9.967 72 


11 


1 
2 


9-2 


11-4 


11.1 






32 




36 






5 




15.4 


19.0 


18.5 


50 


9-570 44 




9.602 76 




0-397 24 


9.967 67 


5 
5 
5 
5 


10 


3 


21.6 


26-6 


25.9 


51 


9-570 75 


31 


9-603 13 


37 


0-396 87 


9.967 62 


9 


4 


27 8 


34.2 


33.3 


52 


9-571 07 


32 


9.603 49 


36 


0-396 51 


9.967 57 


8 


5 


33.9 






S3 


9-571 38 


31 


9-603 86 


37 


0-396 14 


9-967 52 


7 


6 






54 


9-571 69 


31 


9.604 22 


36 


0-395 78 


9-967 47 


6 




5 


4 


4 


55 


9-572 01 


32 


9-604 59 


3/ 


0-395 41 


9.967 42 


5 


5 




1 
3 
3 

4 
5 


36 


38 


37 


56 


9.572 32 


31 


9-604 95 


36 


0-395 05 


9.967 37 


5 
5 
5 

5 


4 


3-6 


4-8 


4.6 


57 


9-472 64 


32 


9-605 32 


37 


0.394 68 


9.967 32 


3 


10-8 


14-2 


13.9 


58 


9-572 95 


31 


9-605 68 


36 


0-394 32 


9.967 27 


2 


18.0 


23.8 


23.1 


59 


9.573 26 


31 


9-606 05 


37 


0-393 95 


9-967 22 


1 


25.2 


33-2 


32.4 






32 




36 






5 




32.4 


— 


— 


50 


9-573 58 


d. 


9-606 41 


0.393 59 


9.967 17 


d. 













L. Cos. 


L. cot. 


:.d. 


L. Tan. 


L. Sin. 


P.P. 



nV (291°) 



(248°) 68° 



66 



{Continiied) 

























SP:8- 


1970 




TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS - 


- Contd 






22 


(202°) 












337) 
d. 


157° 










J 


L. Sin. 


rl. 


L. Tan. 
9.606 41 


.d. 


L. cot. 


L. COS. 


&0 


P.P. 





9'573 58 


Jl 
31 
51 
31 

32 

31 
31 
31 
31 


t6 
17 
16 
!6 

!7 

!6 
)6 
36 
56 


0-393 59 


9.967 17 


6 
5 

5 

5 

5 

5 
5 
5 
6 


* 


37 


36 


35 


1 


9-573 89 


9.606 77 


0-393 23 


9.967 11 


59 


1 


0-6 


0-6 


0-6 


2 


9.574 20 


9-607 14 


0.392 86 


9.967 06 


58 


2 


1-2 


1-2 


1-2 


3 


9.574 51 


9-607 50 


0-392 50 


9.967 01 


57 


3 


1-8 


1-8 


1-8 


4 


9.574 82 


9.607 86 


0-392 14 


9.966 96 


56 


4 


2-5 


2.4 


2-3 


5 


9.575 14 


9.608 23 


0.391 77 


9.966 91 


55 


5 


3-1 


3-0 


2-9 


6 


9.575 45 


9-608 59 


0-391 41 


9-966 86 


54 


6 


3-7 


3-6 


3-5 


7 


9.575 76 


9-608 95 


0-391 05 


9-966 81 


53 


7 


4-3 


4.2 


4-1 


8 


9-576 07 


9-609 31 


0.390 69 


9-966 76 


52 


8 


4-9 


4-8 


4-7 


9 


9-576 38 


9.609 67 


0.390 33 


9.966 70 


51 


9 


5-6 


5-4 


5.2 






31 




57 






5 












lA 


9.576 69 


31 


9.610 04 


56 
56 
36 
36 


0-389 96 


9.966 65 


5 
5 

5 

5 


50 


10 


6-2 


6-0 


5-8 


11 


9-577 00 


9-610 40 


0.389 60 


9.966 60 


49 


20 


12-3 


12-0 


11-7 


12 


9-577 31 


31 


9 610 76 


0-389 24 


9.966 55 


48 


30 


18-5 


18.0 


17.5 


13 


9.577 62 


31 


9-611 12 


0-388 88 


9.966 50 


47 


+0 


24-7 


24-0 


23.3 


14 


9.577 93 


31 


9.611 48 


0-388 52 . 


9.966 45 


46 


50 


30-8 


30-0 


29.2 






31 




36 






5 












IS 


9-578 24 




9.611 84 


36 
36 
36 
36 


0.388 16 


9.966 40 


6 


♦5 


<>• 


32 


31 


30 


16 


9-578 55- 


31 


9.612 20 


0-387 80 


9.966 34 


44 


1 


0-5 


0-5 


0-5 


17 


9-578 85 


30 


9.612 56 


0-387 44 


9.966 29 


5 

5 
5 


43 


2 


1-1 


10 


1-0 


18 


9-579 16 


31 


9.612 92 


0-387 08 


9.966 24 


42 


3 


1-6 


1-6 


1-5 


19 


9-579 47 


31 


9.613 28 


0.386 72 


9.966 19 


41 


4 


2-1 


21 


2-0 






31 




36 






5 












20 


9-579 78 




9.613 64 


36 
36 
36 
36 


0-386 36 


9-966 14 


6 
5 
5 

5 


40 


5 


2.7 


2-6 


2-5 


21 


9.580 08 


30 


9-614 00 


0.386 00 


9.966 08 


39 


6 


3-2 


3-1 


3-0 


22 


9.580 39 


31 


9.614 36 


0.385 64 


9.966 03 


38 


7 


3-7 


3-6 


3-5 


23 


9.580 70 


31 


9.614 72 


0.385 28 


9.965 98 


37 


8 


4-3 


4-1 


4-0 


24 


9.581 01 


31 


9.615 08 


0.384 92 


9.965 93 


36 


9 


4-8 


4-6 


4.5 






30 




36 






5 












25 


9.581 31 




9.615 44 


35 
36 
36 
36 


0-384 56 


9.965 88 




35 


10 


5-3 


5-2 


SO 


26 


9-581 62 


31 


9.615 79 


0-384 21 


9.965 82 


6 
5 


34 


20 


10-7 


10-3 


10-0 


27 


9-581 92 


30 


9.616 15 


0.383 85 


9-965 77 


33 


30 


16.0 


15-5 


15.0 


28 


9.582 23 


31 


9.616 51 


0-383 49 


9-965 72 


5 


32 


40 


21.3 


20-7 


20.0 


29 


9.582 53 


30 


9.616 87 


0-383 13 


9.965 67 


5 


31 


50 


26-7 


25.8 


25.0 






31 




35 






5 












30 


9.582 84 




9.617 22 




0.382 78 


9.965 62 




30 


" 


29 


6 


5 


31 


9.583 14 


30 


9-617 58 


36 


0.382 42 


9-965 56 


6 


29 


1 


0-5 


0-1 


0-1 


32 


9.583 45 


31 


9.617 94 


36 
36 
35 


0-382 06 


9-965 51 


5 


28 


2 


1-0 


0-2 


0-2 


33 


9.583 75 


30 


9.618 30 


0-381 70 


9.965 46 


5 


27 


3 


1-4 


0-3 


0-2 


34 


9.584 06 


31 


9.618 65 


0.381 35 


9.965 41 


5 


26 


4 


1-9 


0-4 


0-3 






3C 




36 






6 












35 


9.584 36 




9-619 01 




0.380 99 


9,965 35 




25 


5 


2.4 


OS 


0-4 


36 


9-584 67 


31 


9.619 36 


35 


0-380 64 


9-965 30 


5 


24 


6 


2-9 


0-6 


0-5 


37 


9-584 97 


3C 


9-619 72 


36 


0-380 28 


9-965 25 


5 


23 


7 


3-4 


0-7 


0-6 


38 


9.585 27 


3C 


9.620 08 


36 


0-379 92 


9-965 20 


5 


22 


8 


3-9 


0-8 


0-7 


39 


9.585 57 


3C 
31 


9-620 43 


35 
36 


0379 57 


9.965 14 


6 

5 


21 


9 


4-4 


0-9 


0-8 


40 


9.585 88 




9.620 79 




0.379 21 


9.965 09 




20 


10 


4.8 


1-0 


0-8 


41 


9.586 18 


3C 


9.621 14 


35 


0.378 86 


9-965 04 


5 


19 


20 


9-7 


2-0 


1-7 


42 


9.586 48 


3C 


9-621 50 


36 


0-378 50 . 


9-964 98 


6 


18 


30 


14-5 


3-0 


2-5 


43 


9.586 78 


3C 


9-621 85 


35 
36 


0-378 15 


9-964 93 


5 


17 


40 


19.3 


4-0 


3-3 


44 


9.587 09 


31 


9.622 21 


0.377 79 


9.964 88 


5 


16 


SO 


242 


5-0 


4-2 






3C 




35 






5 












45 


9.587 39 




9.622 56 




0.377 44 


9.964 8.3 




15 




6 


6 




46 


9.587 69 


3C 


9.622 92 


36 


0.377 08 


9.964 77 


6 


14 




36 


35 




47 


9.587 99 


3C 


9.623 27 


35 


0.376 73 


9.964 72 


5 


13 










48 


9.588 29 


3C 


9.623 62 


35 


0.376 38 


9.964 67 


5 


12 





3-0 


2-9 




49 


9.588 59 


3C 


9.623 98 


36 


0.376 02 


9.964 61 


6 


11 


1 
2 


9-0 


8-8 








3C 




35 






5 




15-0 


14-6 




50 


9.588 89 




9.624 33 




0-375 67 


9.964 56 




10 


3 


21-0 


20-4 




51 


9.589 19 


3C 


9.624 68 


35 


0-375 32 


9.964 51 


5 


9 


4 


27-0 


26.2 




52 


9.589 49 


3C 


9.625 04 


36 


9.374 96 


9.964 45 


6 


8 


S 


33-0 


32.1 




53 


9.589 79 


3C 


9-625 39 


35 


0-374 61 


9.964 40 


5 


7 


6 








54 


9.590 09 


3C 


9.625 74 


35 


0.374 26 


9.964 35 


5 


6 




5 


5 


5 


55 


9-590 39 


3C 


9.626 09 


35 


0-373 91 


9.964 29 


6 


5 



1 

2 
3 
4 

5 


37 


36 


35 


56 


9.590 69 


3C 


9.626 45 


36 


0.373 55 


9.964 24 


5 


4 


I 3.7 


3-6 


3-5 


57 


9.590 98 


25 


9.626 80 


35 


0.373 20 


9.964 19 


5 


3 


11-1 


10-8 


10-5 


58 


9-591 28 


3C 


9.627 15 


35 


0.372 85 


9.964 13 


6 


2 


18-5 


18.0 


17-5 


59 


9.591 58 


3C 


9.627 50 


35 


0.372 50 


9.964 08 


5 


1 


25-9 


25-2 


24.5 






3C 




35 






5 




33-3 


32.4 


31-5 


60 


9-591 88 


9.627 85 




0-372 15 


9.964 03 













' 


L. COS. 


d. 


L. cot. 


:.d 


L. Tan. 


L. Sin. 


d. 


' 


P.P. 


112 


° (292 ) 












(247° 


) 67 











67 



(Coniinuedi 



SP:8- 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 

(336°) 156 



li" (203° 



* 


L. Sin. 


3. 


L. Tan. 


.d. 


L. cot. 


L. COS. 


d. 


f 


P.P. 





9-591 88 


!0 
V) 
50 
50 


9.627 85 


35 
35 
35 
36 


0-372 15 


9.964 03 


6 
5 
5 

6 


60 


« 


36 


35 


34 


1 


9-592 '18 


9.628 20 


0-371 80 


9.963 97 


59 


1 


0-6 


0-6 


0-6 


2 


9-592 47 


9.628 55 


0-371 45 


9.963 92 


58 


2 


1-2 


1-2 


11 


3 


9-592 77 


9.628 90 


0.371 10 


9.963 87 


57 


3 


1-8 


1-8 


1-7 


4 


9-593 07 


9.629 26 


0.370 74 


9.963 81 


56 


4 


2.4 


2-3 


2-3 






29 




35 






5 












5 


9-593 36 


30 
30 
29 
30 


9.629 61 


35 
35 
35 
35 


0-370 39 


9.963 76 


6 
5 
5 

6 


55 


5 


3-0 


2-9 


2-8 


6 


9-593 66 


9-629 96 


C-370 04 


9.963 70 


54 


6 


3-6 


3-5 


3-4 


7 


9-593 96 


9-630 31 


0.369 69 


9.963 65 


53 


7 


4-2 


41 


4-0 


8 


9-594 25 


9.630 66 


0.369 34 


9.963 60 


52 


8 


4-8 


4-7 


4-5 


9 


9-594 55 


9.631 01 


0.368 99 


9.963 54 


51 


9 


5-4 


5-2 


5-1 






29 




34 






5 












!• 


9-594 84 


30 
29 
30 
29 


9.631 35 


35 
35 
35 
35 


0.368 65 


9-963 49 


6 
5 

5 

6 


50 


10 




5-8 


5-7 


11 


9-595 14 


9-631 70 


0-368 30 


9-963 43 


W 


20 


1 % 


11-7 


11-3 


12 


9-595 43 


9-632 05 


0.367 95 


9.963 38 


♦8 


30 


18-0 


17-5 


17.0 


13 


9-595 73 


9-632 40 


0.367 60 


9.963 33 


+7 


W 


24.0 


23.3 


22-7 


14 


9-596 02 


9.632 7.5 


0-367 25 


9.963 27 


¥> 


50 


30.0 


29-2 


28-3 






30 




35 






5 












15 


9-596 32 


29 
29 
30 
29 


9.633 10 


35 
34 
35 
35 


0.366 90 


9.963 22 


6 
5 
6 

5 


45 


m 


30 


29 


2S 


16 


9-596 61 


9-633 45 


0.366 55 


9.963 16 


44 


1 


0-5 


0-5 


0-5 


17 


9-596 90 


9.633 79 


0-366 21 


9.963 11 


43 


2 


10 


1-0 


0-9 


18 


9-597 20 


9.634 14 


0.365 86 


9-963 05 


42 


3 


1-5 


1-4 


1-4 


19 


9-597 49 


9.634 49 


0.365 51 


9.963 00 


41 


4 


2-0 


1-9 


1-9 






29 




35 






6 












20 


9.597 78 


30 
29 
29 
29 


9.634 84 


35 
34 
35 
35 


0.365 16 


9.962 94 


5 
5 

6 

5 


40 


5 


2.5 


2-4 


2-3 


21 


9-598 08 


9.635 19 


0.364 81 


9.962 89 


39 


6 


3-0 


2-9 


2-8 


22 


9-598 37 


9-635 53 


0-364 47 


9.962 84 


38 


7 


3-5 


3-4 


3-3 


23 


9-598 66 


9.635 88 


0-364 12 


9-962 78 


37 


8 


4-0 


3-9 


3-7 


24 


9.598 95 


9.636 23 


0.363 77 


9-962 73 


36 


9 


4.5 


4-4 


42 






29 




34 






6 












25 


9-599 24 


30 
29 
29 
29 


9.636 57 


35 
34 
35 
35 


0-363 43 


9.962 67 


5 
6 
5 
6 


35 


10 


5-0 


4-8 


4.7 


26 


9-599 54 


9.636 92 


0-363 08 


9.962 62 


34 


20 


100 


9-7 


9-3 


27 


9-599 83 


9-637 26 


0.362 74 


9.962 56 


33 


30 


15.0 


14-5 


14-0 


28 


9-600 12 


9-637 61 


0-362 39 


9.962 51 


32 


40 


20-0 


19-3 


18.7 


29 


9-600 41 


9-637 96 


0.362 04 


9.962 45 


31 


50 


25.0 


24.2 


23.3 






29 




34 






5 












30 


9-600 70 


29 
?9 


9.638 30 


35 
34 
35 
34 


0-361 70 


9-962 40 




30 


* 


6 


5 




31 


9-600 99 


9.638 65 


0-361 35 


9-962 34 


6 
5 
6 


29 


1 


0-1 


0-1 




32 


9.601 28 


9.638 99 


0-36101 


9-962 29 


28 


2 


0-2 


0-2 




33 


9-601 57 


29 
29 


9-639 34 


0-360 66 


9-962 23 


27 


3 


0-3 


0-2 




34 


9.601 86 


9-63968 


0-360 32 


9-962 18 


5 


26 


4 


0-4 


0-3 








29 




35 






6 












35 


9.602 15 


29 
29 
29 
29 


9-640 03 


34 
35 
34 
34 


0.359 97 


9.962 12 




25 


5 


0-5 


0-4 




36 


9.602 44 


9.640 37 


0-359 63 


9.962 07 


5 


24 


6 


0-6 


0-5 




37 


9-602 73 


9 640 72 


0-359 28 


9.962 01 


6 


23 


7 


0-7 


0-6 




38 


9-603 02 


9-641 06 


0-358 94 


9-961 96 


5 


22 


8 


0-8 


0-7 




39 


9-603 31 


9.641 40 


0.358 60 


9.961 90 


6 


21 


9 


0-9 


0-8 








28 




35 






5 












40 


9-603 59 




9.641 75 




0-358 25 


9.961 85 




20 


10 


1-0 


0-8 




41 


9-603 88 


29 


9-642 09 


34 


0-357 91 


9.961 79 


6 


19 


20 


2-0 


1-7 




42 


9-604 17 


29 
29 


9.642 43 


34 


0.357 57 


9.961 74 


5 


18 


30 


3-0 


2-5 




43 


9-604 46 


9642 78 


35 
34 

34 


0-35^22 


9.961 68 


6 


17 


40 


4-0 


3-3 




44 


9-604 74 


28 


9.643 12 


0.356 88 


9.961 62 


6 


16 


50 


5-0 


4-2 




45 


9-605 03 


29 


9.643 46 


0-356 54 


9-961 57 


5 


15 




6 


6 


6 


46 


9-605 32 


29 


9-643 81 


35 
34 


0.356 19 


9,961 51 


6 


14 




36 


35 


34 


47 


9.605 61 


29 


9.644 15 


0-355 8.5 


9.961 46 


5 


13 










48 


9.605 89 


28 


9.644 49 


34 
34 


0-355 51 


9.961 40 


6 


12 





30 
9-0 


2 9 


2-8 


49 


9-606 18 


29 


9.644 83 


0-355 17 


9,961 35 


5 


11 


1 


8-8 


8-5 






28 




34 






6 




2 


15-0 


14-6 


14.2 


50 


9-606 46 




9-645 17 


35 


0-354 83 


9-961 29 




10 


3 


21.0 
27.0 
33.0 


20.4 


19-8 


51 


9-606 75 


29 


9-645 52 


0.354 48 


9-961 23 


6 


9 


4 


26.2 


25.5 


52 


9-607 04 


29 


9-645 86 


34 


0-354 14 


9.961 18 


5 


8 


5 


32.1 


31^2 


53 


9-607 32 


28 


9-646 20 


34 


0-353 80 


9,961 12 


6 


7 


6 






54 


9.607 61 


29 


9-646 54 


34 


0.353 46 


9.961 07 


5 


6 




5 


5 




55 


9-607 89 


28 


9.646 88 


34 


0-353 12 


9,961 01 


6 


5 




3 5 


34 




56 


9-608 18 


29 


9.647 22 


34 


0-352 78 


9-960 95 


6 


4 





3-5 


3-4 




57 


9-608 46 


28 


9-647 56 


34 


0.352 44 


9-960 90 


5 


3 


1 


10-5 


10-2 




58 


9.608 75 


29 


9-647 90 


34 


0-352 10 


9-960 84 


6 


2 


2 


17 5 


17.0 




59 


9.609 03 


28 


9-648 24 


34 


0-351 76 


9.960 79 


5 


1 


3 
4 


24.5 


23-8 








28 




34 






6 




31-5 


30-6 




60 


9.609 3 1 




9.648 58 




0-351 42 


9-960 73 


d. 





5 








' 


L. COS. 


d. 


L. cot. 


;.d 


L. Tan. 


L. Sin. 




P.P. 



U3° (293 ) 



(246 ) 66 



68 



{Continuei, 



SP: 8 - 1970 



24° (204°) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(335°) 155 



Confd 



114° (294°) 



/ 


!.. Sin. 


d. 


L. Tan. 


?.d, 


L. cot. 


L. Cos. 


3. 

6 
5 
6 
6 


t 

60 






P.P. 







9-609 31 


29 
28 
28 

29 


9-648 58 


34 
34 

34 
34 


0.351 42 


9.960 73 








1 


9 •609*60 


9.648 92 


0.351 08 


9.960 67 


59 


" 


34 


33 




2 


9-609 88 


9.649 26 


0.350 74 


9-960 62 


58 


1 


0-6 


0-6 




3 


9.610 16 


9.649 60 


0350 40 


9-960 56 


57 


2 


1-1 


1-1 




4 


9610 45 


9.649 94 


0-350 06 


9.960 50 


56 


3 


1-7 


1-6 








28 




34 






5 




4 


2.3 


2-2 




5 


9.610 73 


28 
28 
29 

28 


9-650 28 


34 
34 
34 
34 


0-349 72 


9.960 45 


6 
5 
6 
6 


55 










6 


9.611 01 


9.650 62 


0.349 38 


9.960 39 


54 


5 


n 


2-8 




7 


9-61129 


9.650 96 


0.349 04 


9.960 34 


53 


6 


3-3 




8 


9-611 58 


9-651 30 


0-348 70 


9-960 28 


52 


7 


...0 


3-8 




9 


9.611 86 


9-651 64 


0:348 36 


9.960 22 


51 


8 


4-5 


4-4 








28 




33 






5 




9 


5-1 


5-0 




10 


9.612 14 


28 
28 
28 

28 


9-651 97 


34 
34 
34 
34 


0-348 03 


9.960 17 


6 
6 
5 
6 


50 










n 


9.612 42 


9-652 3 1 


0.347 69 


9960 11 


49 


10 


5-7 


S-S 




12 


9-612 70 


9.652 6.5 


0-347 35 


9-960 05 


48 


20 


11-3 


11-0 




13 


9-612 98 


9-652 99 


0-347 01 


9.960 00 


47 


30 


17-0 


16-5 




14 


9.613 26 


9.653 33 


0-346 67 


9-959 94 


46 


40 


22-7 


22.0 








28 




33 






6 




50 


28-3 


27-5 




15 


9.613 54 


28 
29 
27 
28 


9.653 66 


34 
34 

33 
34 


0-346 34 


9.959 88 


6 
5 
6 
6 


45 










16 


9.613 82 


9-654 00 


0-346 00 


9-959 82 


44 


" 


29 


28 


27 


17 


9.614 11 


9-654 34 


0-345 66 


9-959 77 


43 


1 






0-4 


18 


9.614 38 


9-654 67 


0-345 33 


9.959 71 


42 


2 


\A 


0^§ 


0-9 


19 


9.614 66 


9.655 01 


0-344 99 


9-959 65 


41 


3 


1-9 


1.4 


1-4 






28 




34 






5 




4 




1-9 


1-8 


20 


9.614 94 


28 
28 
28 
28 


9.655 35 


33 
34 


0-344 6.5 


9.959 60 


6 
6 
6 

5 


40 










21 


9-615 22 


9-655 68 


0-344 32 


9.959 54 


39 


5 






2-2 


22 


9.615 50 


9.656 02 


0.343 98 


9.959 48 


38 


6 




2.3 


2-7 


23 


9-615 78 


9.656 36 


33 


0.343 64 


9.959 42 


37 


7 


183.3 


3.2 


24 


9.616 06 


9-656 69 


0-343 31 


9.959 37 


36 


8 


3.7 


3.6 






28 




34 






6 




9 


4.4 


4.2 


4-0 


25 


9.616 34 


28 
27 
28 

28 


9-657 03 


33 
34 
33 
34 


0-342 97 


9.959 31 


6 
5 
6 
6 


35 










26 


9-616 62 


9.657 36 


0-342 64 


9-9S9 25 


34 


10 


4-8 


4-7 


4-5 


27 


9.616 89 


9-657 70 


0-342 30 


9-959 20 


33 


20 


9.7 


9-3 


90 


28 


9.617 17 


9.658 03 


0-341 97 


9.959 14 


32 


30 


14.5 


14-0 


13-5 


29 


9.617 45 


9.658 37 


0-341 63 


9.959 08 


31 


40 


19.3 


18-7 


180 






28 




33 






6 




50 


242 


23.3 


22-5 


30 


9.617 73 


27 
28 
28 
27 


9-658 70 


34 
33 
34 

33 


0-341 30 


9.959 02 


S 
6 
6 
6 


30 










31 


9.618 00 


9.659 04 


0.340 96 


9.958 97 


29 


" 


6 


5 




32 


9-61 8 28 


9,659 37 


0-340 63 


9.958 91 


28 


1 


O-I 


0-1 




33 


9-618 56 


9-659 71 


0.340 29 


9.958 85 


27 


2 


0-2 


0-2 




34 


9.618 83 


9-660 04 


0-339 96 


9.958 79 


26 


3 


0-3 


0-2 








28 




34 






6 




4 


0-4 


0-3 




35 


9.619 11 


2f 
28 
27 


9-660 38 


33 
33 
34 
33 


0.339 62 


9.958 73 


5 
6 
6 
6 


25 










36 


9.619 39 


9-660 71 


0-339 29 


9-958 68 


24 


5 


0-5 


0-4 




37 


9.619 66 


9-661 04 


0-338 96 


9.958 62 


23 


6 


0-6 


0-5 




38 


9-619^4^ 


9-661 38 


0-338 62 


9-958 56 


22 


7 


0-7 


0-6 




39 


9-620 21 


9-661 71 


0.338 29 


9.958 50 


21 


8 


0-8 


0-7 








28 




33 






6 




9 


0-9 


0-8 




40 


9-620 49 


27 
28 
27 
28 


9-662 04 


34 
33 
33 

33 


0-337 96 


9.958 44 


5 
6 
6 
6 


20 










41 


9.620 76 


9-662 38 


0.337 62 


9-958 39 


19 


10 


10 


0-8 




42 


9.621 04 


9-662 71 


0-337 29 


9-958 33 


18 


20 


2-0 


1-7 




43 


9.621 31 


9.663 04 


0-336 96 


9.958 27 


17 


30 


30 


2-5 




44 


9.621 59 


9.663 37 


0-336 63 


9-958 21 


16 


40 


4-0 


3-3 








27 




34 






6 




50 


5-0 


4-2 




45 


9.621 86 


28 
27 

27 
28 


9.663 71 


33 
33 

33 
33 


0-336 29 


9.958 15 


5 
6 
6 
6 


15 










46 


9-6''2 14 


9,664 04 


0-335 96 


9-958 10 


14 










47 


9.622 41 


9.664 37 


0.335 63 


9-958 04 


13 




6 


6 


5 


48 


9.622 68 


9.664 70 


0-335 30 


9.957 98 


12 




34 


33 


34 


49 


9-622 96 


9.665 03 


0.334 97 


9-957 92 


11 










27 




34 






6 












50 


9.623 23 


27 
27 
28 

27 


9.665 37 


33 
33 
33 
33 


0-334 63 


9.957 86 




10 



1 








51 


9.623 50 


9.665 70 


0.334 30 


9.957 80 


6 
5 


9 


2.8 


2.8 


3-4 


52 


9.623 77 


9,666 03 


0-333 97 


9.957 75 


8 


2 
3 
4 


8-5 


8.2 


10-2 


53 


9.624 05 


9.666 36 


0-333 64 


9.957 69 


6 
6 


7 


14-2 


13.8 


17-0 


54 


9.624 32 


9.666 69 


0-333 31 


9.957 63 


6 


19.8 


19.2 


23.8 






27 




33 






6 




5 
6 


25-5 


24.8 


30.6 


55 


9.624 59 


27 
27 

28 
27 


9-667 02 


33 
33 

33 
33 


0.332 98 


9.957 57 




5 


31.2 


30-2 


^ 


56 


9.624 86 


9-667 35 


0-332 65 


9.957 51 


6 
6 


4 








51 


9-625 13 


9.667 68 


0.332 32 


9.957 45 


3 










58 


9-625 41 


9.668 01 


0-331 99 


9.957 39 


6 


2 










59 


9-625 68 


9.668 34 


0-331 66 


9-957 33 


6 


1 










60 


9.625 95 


27 
d. 


9.668 67 


33 


0-33133 


9.957 28 


5 




t 










/ 


L. Cos. 


L. cot. 


c.d 


L. Tan. 


L. Sin. 


d. 


P.P. 



(245°) 65° 



69 



{Continued) 



SP:8- 1970 







FABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS - 


- Conid 






25 


(205) 










(334) 


154 










' 


L. Sin. 


d. 

27 
27 
27 
27 


L. Tan. 


;.d. 


L. cot. 


L. Cos. 
9-957 28 


d. 

6 
6 
6 
6 


' 






P.p. 




0. 


9-625 95 


9.668 67 


33 
33 
33 
33 


0.331 33 


60 










1 


9-626 22 


9-669 00 


0-331 00 


9-957 22 


59 


^ 


33 


32 




2 


9-626 49 


9-669 33 


0-330 67 


9-957 16 


58 


1 


0-6 


OS 




3 


9-626 76 


9.669 66 


0.330 34 


9-957 10 


57 


2 


M 


1-1 




4 


9-627 03 


9.669 99 


0.330 01 


9.957 04 


56 


3 


1-6 


1-6 








27 




33 






6 




4 


2-2 


2-1 




5 


9-627 30 


27 
27 
27 
27 


9 670 32 


33 
33 
33 

32 


0.329 68 


9.956 98 


6 
6 
6 
6 


55 










6 


9-627 57 


9-670 65 


0-329 35 


9-956 92 


54 


S 


2-8 


2-7 




7 


9.627 84 


9.670 98 


0-329 02 


9-956 86 


53 


6 


3-3 


3-2 




8 


9.628 11 


9.671 31 


0.328 69 


9.956 80 


52 


7 


3-8 


3-7 




9 


9.628 38 


9.671 63 


0-328 37 


9.956 74 


51 


8 


4-4 


4-3 








27 




33 






6 




9 


5-0 


4-8 




10 


9.628 65 


27 
26 
27 
27 


9-671 96 


33 
33 
33 
32 


0.328 04 


9.956 68 


5 
6 
6 
6 


50 










11 


9.628 92 


9-672 29 


0-327 71 


9.956 63 


49 


10 


5-5 


5-3 




12 


9-629 18 


9-672 62 


0.327 38 


9-956 57 


48 


20 


11-0 


10-7 




13 


9-629 45 


9-672 95 


0.327 OS 


9.956 51 


47 


30 


16-5 


16-0 




14 


9.629 72 


>-673 27 


0.326 73 


9-956 45 


46 


40 


22-0 


21.3 








27 




33 






6 




50 


27-5 


26.7 




15 


9-629 99 


27 
26 
27 
27 


9.673 60 


33 
33 
32 
33 


0-326 40 


9-956 39 


6 
6 
6 
6 


45 










16 


9-630 26 


9.673 93 


0-326 07 


9-956 33 


44 


ff 


27 


26 




17 


9-630 52 


9.674 26 


0-325 74 


9.956 27 


43 


1 


0-4 


0-4 




18 


9-630 79 


9.674 58 


0.325 42 


9-956 21 


42 


2 


0-9 


0-9 




19 


9-631 06 


9.674 91 


0-325 09 


9-956 15 


41 


3 


1-4 


1-3 








27 




33 






6 




4 


1-8 


1-7 




20 


9.631 33 


26 
27 
27 
26 


9.675 24 


32 
33 

33 
32 


0.324 76 


9.956 09 


6 
6 

6 
6 


40 


5 


2-2 


2-2 




21 


9-631 59 


9-675 56 


0.324 44 


9.956 03 


39 










22 


9-631 86 


9-675 89 


0-324 11 


9-955 97 


38 


6 


2:7 


2-6 




23 


9.632 13 


6.676 22 


0-323 78 


9-955 91 


37 


7 


3-2 


3-0 




24 


9.632 39 


9.676 54 


0-323 46 


9-955 85 


36 


8 


3-6 


3-5 








27 




33 






6 




9 


40 


3.9 




25 


9-632 66 


26 
27 
26 
27 


9.676 87 


32 
33 
33 

32 


0-323 13 


9-955 79 




35 










26 
27 


9-63:92 
9.633 19 


9.677 19 
9.677 52 


0.322 81 
0.322 48 


9.955 73 
9.955 67 


6 
6 


34 
33 


10 
20 


4-5 
90 


4-3 

8.7 




28 


9.633 45 


9.677 85 


0.322 15 


9-955 61 


6 


32 


30 


13-5 


13 




^9 


9.633 72 


9.678 17 


0-321 83 


9-955 55 


6 


31 


40 


18-0 


17-3 








26 




33 






6 




50 


22-5 


21-7 




30 


.^ 9-633 98 


27 
26 
27 
26 

27 

26 
26 
27 
26 

26 

27 
26 
26 
26 

27 

26 
26 
26 
26 


9.678 50 


32 
33 
32 
33 

32 

32 

33 
32 
33 

32 

32 
33 


0321 50 


9-955 49 




30 










31 


\9-634 25 


9.678 82 


0.321 18 


9.955 43 


6 


29 










32 


9^634 51 


9.679 15 


0.320 85 


9-955 37 


6 


28 


„ 


7 
0-1 
0-2 


6 
0-1 
0-2 




33 


9-^34 78 


9.679 47 


0320 53 


9-955 31 


6 


27 


1 
2 


5 


34 


9-635 04 


9.679 80 


0.320 20 


9.955 2s 


6 
6 


26 


01 
0-2 


35 


9-635 31 


9-680 12 


0-319 88 


9-955 19 


25 


3 
4 


0-4 
0-5 


0-3 
0-4 


0-2 


36 


9.635 57 


9.680 44 


0.319 56 


9.955 13 


6 


24 


0-3 


37 


9-635 83 


9-680 77 


0.319 23 


9-955 07 


6 


23 


5 
6 
7 
8 
9 


0-6 
0-7 
0-8 
0-9 
1-0 


0-5 
0-6 
0-7 
0-8 
0-9 


0-4 
OS 
0-6 
0-7 
0-8 


38 


9.636 10 


9-681 09 


0-318 91 


9-955 00 


7 


22 


39 
40 


9.636 36 
9.636 62 


9-681 42 

9.681 74 


0.318 58 
0-318 26 


9.954 94 
9.954 88 


6 
6 


21 
20 


41 


9.636 89 


9-682 06 


0-317 94 


9.954 82 


6 


19 


42 


9.637 15 


9-6S2 39 


0-317 61 


9.954 76 


6 


18 


10 
20 
30 


1-2 
2-3 
3-5 


1-0 
2-0 
30 




43 


9.637 41 


9-632 71 


32 
32 


0.317 29 


9-954 70 


6 


17 


0-8 


44 


9.637 67 


9.683 03 


0.316 97 


9.954 64 


6 


16 


1-7 
2-5 


45 


9-637 94 


9.683 36 


33 

32 
32 
32 


0.316 64 


9.954 58 


6 


15 


40 
50 


4-7 
5-8 


4-0 
5-0 


3-3 


46 


9-638 20 


9.683 68 


0.316 32 


9.954 52 


6 


14 


4-2 


47 


9.638 46 


9.684 00 


0-316 00 


9.954 46 


6 


13 










48 


9.638 72 


9.684 32 


0-315 68 


9.954 40 


6 


12 










49 


9.638 98 


9.684 65 


33 


0-315 3s 


9-954 34 


6 


11 














26 




32 






7 






7 


6 


5 


50 


9.639 24 


26 
26 
26 
26 


9.684 97 


32 


0-315 03 


9-954 27 




10 




"32 


32 


13 


51 


9.639 SO 


9-685 29 


0314 71 


9-954 21 


6 


9 








52 


9-639 76 


9-685 61 


32 


0.314 39 


9.954 15 


6 


8 





2-3 

69 

114 


2-7 
8-0 


3-3 
9-9 

16 5 


53 


9-640 02 


9-685 93 


32 
33 


0-314 07 


9.954 09 


6 


7 


1 


54 


9-640 28 


9-686 26 


0-313 74 


9.954 03 


6 


6 


2 
3 


13-3 






26 




32 






6 




16-0 


18-7 


23.1 


55 


9-640 54 


26 


9.686 58 




0-313 42 


9.953 97 




5 


4 


20 6 


24 


29.7 


56 


9.640 80 


9.686 90 


32 


0.313 10 


9.953 91 


6 


4 


5 


25-1 

29.7 


29.3 


57 
58 


9-641 06 
9-641 32 


26 
26 
26 


9.687 22 
9.687 54 


32 
32 


0-312 78 

0.312 46 


9.953 84 
9.953 78 


7 
6 


3 
2 


6 

7 


-_ 


59 


9-641 58 


9.687 86 


32 


0.312 14 


9.953 72 


6 


1 














26 




32 






6 












60 


9.641 84 


d. 


9.688 18 




0-31182 


9.953 66 


i. 

244) 













' 


L. Cos. 


L. Cot. 


.d. 


L. Tan. 


L. Sin. 


' 


P.P.. 


115° 


(295°) 












64 











70 



{Continued) 



SP:8. 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS _Con« 

(333°) 153° 



26' (206°) 



/ 


L. Sin. 


d. 


L. Tan. 


:.d. 


L. Cot. 


L. COS. 


d. 
t 


60 




« 


P.P. 







9.641 84 


26 
26 
26 
26 


9-688 18 


32 
32 
32 
32 


0-311 82 


9.953 66 










1 


9.642 10 


9-688 50 


0-31150 


9.953 60 


59 


ir 


32 


31 




2 


9.642 36 


9-688 82 


0-311 18 


9.953 54 


58 


1 


0-5 


0-5 




3 


9-642 62 


9-689 14 


0-310 86 


9-953 48 


57 


2 


1-1 


1-0 




4 


9-642 88 


9-689 46 


0-310 54 


9-953 41 


/ 


56 


3 


1-6 


1-6 








25 




32 






6 




4 


2-1 


2-1 




5 


9.643 13 


26 
26 
26 
26 


9-689 78 


32 
32 
32 
32 


0-310 22 


9.953 35 


6 
6 
6 
7 


55 










6 


9-643 39 


9-690 10 


0-309 90 


9-953 29 


54 


5 


2-7 


2-6 




7 


9-643 65 


9-69042 


0-309 58 


9.953 23 


53 


6 


3-2 


31 




8 


9.643 91 


9-690 74 


0-309 26 


9.953 17 


52 


7 


3-7 


3-6 




9 


9-644 17 


9-691 06 


0-308 94 


9.953 10 


51 


8 


4 , 


4-1 








25 




32 






6 




9 


.-8 


4-6 




10 


9.644 42 


26 
26 
25 
26 


9-69138 


32 
32 
32 
32 


0-308 62 


9.953 04 


6 
6 
6 
7 


50 










11 


9.644 68 


9-691 70 


0-308 30 


9-952 98 


49 


10 


5-3 


5-2 




12 


9-644 94 


9-692 02 


0-307 98 


9-952 92 


48 


20 


10-7 


10-3 




13 


9-645 19 


9-692 34 


0-307 66 


9.952 86 


47 


30 


16-0 


15-5 




14 


9.645 45 


9.692 66 


0-307 34 


9-952 79 


46 


40 


21.3 


20-7 








26 




32 






6 




so 


26-7 


25-8 




IS 


9-645 71 


25 
26 
25 
26 


9.692 98 




0-307 02 


9-952 73 


6 
6 
7 
6 


45 










16 


9-645 96 


9-693 29 


31 
32 
32 
32 


0-306 71 


9.952 67 


44 


' 


26 


25 


24 


17 


9.646 22 


9-693 61 


0-306 39 


9.952 61 


43 


1 


04 


0-4 


0-4 


18 


9-646 47 


9-693 93 


0-306 07 


9-952 54 


42 


2 


0-9 


0-8 


0-8 


19 


9-646 73 


9.694 25 


0-305 75 


9-952 48 


41 


3 


1-3 


1-2 


1-2 






25 




32 






6 




4 


1-7 


1-7 


1-6 


20 


9-646 98 




9.694 57 




0-305 43 


9.952 42 


6 
7 
6 
6 


40 










21 


9-647 24 


26 


9.694 88 


31 


0-305 12 


9.952 36 


39 


5 


2-2 


2-1 


2-0 


22 


9.647 49 


25 


9-695 20 


32 


0-304 80 


9.952 29 


38 


6 


2.6 


2-5 


2-4 


23 


9647 75 


26 


9-695 52 


32 


0-304 48 


9.952 23 


37 


7 


3-0 


2-9 


2-8 


24 


9-648 00 


25 


9-695 84 


32 


0-304 16 


9-952 17 


36 


8 


3-5 


3-3 


3-2 






26 




31 






6 




9 


3.9 


3-8 


3-6 


25 


9.648 26 




9.696 15 




0-303 85 


9.952 11 


7 
6 
6 

7 


35 










26 


9.648 51 


25 


9.696 47 


32 


0-303 53 


9.952 04 


34 


10 


4-3 


4.2 


4-0 


27 


9648 77 


26 


9.696 79 


32 


0-303 21 


9.951 98 


33 


20 


8-7 


8-3 




28 


9-649 02 


25 


9.697 10 


31 


0-302 90 


9.951 92 


32 


30 


13-0 


12-5 


8-0 


29 


9.649 27 


25 


9.697 42 


32 


0-302 58 


9-951 85 


31 


40 


17-3 


16.7 


12-0- 






26 




32 






6 




so 


21.7 


20-8 


im 


30 


9.649 53 




9-697 74 




0-302 26 


9.951 79 




30 










31 


9-649 78 


25 


9-698 05 


31 


0-301 95 


9.951 73 


6 


29 










32 


9-650 03 


25 


9-698 37 


32 


0-301 63 


9-951 67 


6 

7 


28 










33 


9-650 29 


26 


9-698 68 


31 


0.301 32 


9-951 60 


27 


r 


7 


6 




34 


9-650 54 


25 
25 


9-699 00 


32 
32 


030100 


9-951 54 


6 
6 


26 


1 

2 


0-1 
0-2 


0-1 
02 




35 


9.650 79 




9-699 32 




0-300 68 


9.951 48 




25 


3 


0-4 


0-3 




36 


9-65104 


25 


9-699 63 


31 


0-300 37 


9.951 41 


7 


24 


4 


0-5 


0-4 




37 


9.651 30 


26 


9-699 95 


32 


0-30005 


9-95135 


6 


23 










38 


9-651 55 


25 


9-700 26 


31 


0-299 74 


9-95129 


6 


22 


5 


0-6 


0-5 




39 


9.651 80 


25 
25 


9-700 58 


32 
31 


0-299 42 


9.951 22 


7 
6 


21 


6 

7 


0-7 
0-8 


0-6 

0-7 




40 


9.652 OS 




9.700 89 




0-299 11 


9.951 16 




20 


8 


0-9 


0-8 




41 


9-652 30 


25 


9.701 21 


32 


0-298 79 


9.951 10 


6 


19 


9 


10 


0-9 




42 


9.652 55 


25 


9-701 52 


31 


0-298 48 


9.951 03 


7 


18 










43 


9.652 81 


26 


9-701 84 


32 


0-298 16 


9-950 97 


6 


17 


10 


1-2 


1-0 




44 


9.653 06 


25 
25 


9-702 1 s 


31 
32 


0-297 85 


9.950 90 


7 
6 


16 


20 

30 


2-3 

3-5 


2-0 
3-0 




45 


9-653 31 




9.702 47 




0-297 53 


9-950 84 




15 


40 


4-7 


4-0 




46 


9-653 56 


25 


9-702 78 


31 


0.297 22 


9-950 78 


6 


14 


so 


5-8 


5-0 




47 


9-653 81 


25 


9.703 09 


31 


0.296 91 


9.950 71 


7 


13 










48 


9-654 06 


25 


9-703 41 


32 


0.296 59 


9.950 65 


6 


12 










49 


9.654 31 


25 
25 


9.703 72 


31 

32 


0.296 28 


9.950 59 


6 

7 


11 




7 


7 


6 


50 


9-654 56 




9-704 04 




0-295 96 


9.950 52 




10 




32 


31 


32 


51 


9.654 81 


25 


9.704 35 


31 


0-295 65 


9-950 46 


6 


9 











52 


9.655 06 


25 


9-704 66 


31 


0-295 34 


9.950 39 


7 


8 


1 


2-3 


2-2 


2-7 


53 


9.655 31 


25 


9-704 98 


32 


0-295 02 


9-950 33 


6 


7 


2 


6-9 


6-6 


8-0 


54 


9.655 56 


25 


9.705 29 


31 


0-294 71 


9.950 27 


6 


6 


■J 


11.4 


11.1 


13.3 






24 




31 






7 




4 


16.0 


15-5 


18-7 


55 


9.655 8 




9.705 60 




0-294 40 


9.950 20 




5 


5 


20.6 


19.9 


24.0 


56 


9.656 OS 


25 


9-705 92 


32 


0-294 08 


9-950 14 


6 


4 


5 


25-1 


24.4 


29.3 


57 


9-656 30 


25 


9-706 23 


31 


0-293 77 


9-950 07 


7 


3 


7 


29.7 


28.8 


— 


58 


9.656 55 


25 


9-706 54 


31 


0-293 46 


9.950 01 


6 


2 










59 


9-656 80 


25 
25 


9.706 85 


31 

32 


0-29315 


9.949 95 


6 

7 


1 










60 


9-657 OS 




9.707 17 




0.292 83 


9.949 88 















' 


L. Cos. 


d. 


L. Cot. 


•d. 


L. Tan. 


I.. Sin. 


d. 


P.P. 



116' (296") 



(243") 63" 



71 



(Continued) 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Conld 



27 


(207°) 










(332°) 


152° 










' 


L. Si n, , 


d. 


L. Tan. 


;.d 


L. cot. 


L. Cos. 


d. 

6 

7 
6 
7 


60 


- 




P.P. 







9-657 OS 


?4 
25 
25 
25 


9.707 17 


31 
31 
31 
31 


0-292 83 


9.949 88 








1 


9-657 29 


9.707 48 


0-292 52 


9-949 82 


59 


■tf 


32 


31 


30 


2 


9-657 54 


9.707 79 


0-292 21 


9-949 75 


58 


1 


0-5 


0-5 


0-5 


3 


9-657 79 


9-708 10 


0-291 90 


9.949 69 


57 


2 


1-1 


10 


10 


4 


9-658 04 


9.708 41 


0.291 59 


9.949 62 


56 


3 


1-6 


1-6 


1-5 






24 




32 






6 




4 


2-1 


2.1 


20 


5 


9-658 28 


25 
25 
24 
25 


9-708 73 


31 
31 

31 
31 


0-291 27 


9-949 56 


7 
6 
7 
6 


55 










6 


9-658 53 


9.709 04 


0-290 96 


9-94949 


54 


5 


2-7 


2.6 


2-5 


7 


9-658 78 


9.709 3s 


0.290 65 


9-949 43 


53 


6 


3-2 


3-1 


30 


8 


9-659 02 


9-709 66 


0.290 34 


9-949 36 


52 


7 


3-7 


3-6 


3-5 


9 


9-659 27 


9.709 97 




0-290 03 


9.949 30 


51 


8 


4-3 


4-1 


40 






2s 




31 






7 




9 


4.8 


4.6 


4-5 


10 


9-659 52 


24 
25 

24 

2S 


9-710 28 


31 
31 
31 


0.289 72 


9.949 23 


6 
6 
7 
6 


50 










11 


9-659 76 


9-710 59 


0.289 41 


9.949 17 


49 


10 


5-3 


5-2 


5-0 


12 


9-660 01 


9-710 90 


0-289 10 


9.949 11 


48 


20 


10-7 


10-3 


100 


13 


9-660 25 


9-711 21 


32 


0.288 79 


9.949 04 


47 


30 


16.0 


15-5 


ISO 


14 


9-660 SO 


9-711 53 


0-288 47 


9.948 98 


46 


40 


21.3 


20-7 


200 






2s 




3i 






7 




50 


26.7 


25-8 


250 


15 


9-660 75 


24 
25 

24 

2S 


9.711 84 


31 
31 


0-288 16 


9.948 91 


6 

7 
7 
6 


4s 










16 


9-660 99 


9.712 15 


0-287 85 


9.948 85 


44 










17 


9.661 24 


9-712 46 


31 

31 


0.287 54 


9-948 78 


43 


" 


25 


24 


23 


18 


9.661 48 


9-712 77 


0-287 23 


9.948 71 


42 


1 


0-4 


0-4 


0-4 


19 


9.661 73 


9.713 08 




0-286 92 


9-948 65 


41 


2 


0-8 


0-8 


0-8 






24 




31 






7 




3 


1-2 


1-2 


\X 


20 


9.661 97 


24 
25 

24 

2S 


9,713 39 


31 
31 

30 
31 


0.286 61 


9.948 58 


6 

7 
6 


40 


4 


1.7 


1-6 


1-5 


21 


9.662 21 


9-713 70 


0.286 30 


9.948 52 


39 










22 


9.662 46 


9-714 01 


0.285 99 


9.948 45 


38 


5 


2-1 


2-0 


1-9 


23 


9.662 70 


9-714 31 


0.285 69 


9.948 39 


7 


37 


6 


2-5 


2-4 


2-3 


24 


9.662 95 


9.714 62 


0.285 38 


9.948 32 


36 


7 


2-9 


2-8 


2-7 






24 




31 






6 




8 


3-3 


3.2 


31 


25 


9.663 19 


24 
25 
24 
24 


9-714 93 


31 
31 
31 
31 


0-285 07 


9.948 26 


7 
6 
7 
7 


35 


9 


3-8 


3.6 


3-4 


26 


9.663 43 


9-715 24 


0-284 76 


9.948 19 


34 










27 


9.663 68 


9-715 55 


0284 45 


9.948 13 


33 


10 


4.2 


4-0 


3-8 


28 


9.663 92 


9-71-5 86 


0.284 14 


9-948 06 


32 


20 


8-3 


8-0 


7-7 


29 


9.664 16 


9-716 17 


0.283 83 


9.947 99 




31 


3D 


12-5 


12.0 


11-5 






2s 




31 






6 




40 


16.7 


16-0 


15-J 


30 


9.664 41 


24 
24 

24 
24 


9-716 48 


31 
30 


0.283 52 


9.947 93 


7 
5 


30 


50 


20-8 


20.0 


19.2 


31 


9.664 65 


9-716 79 


0-283 21 


9.947 86 


29 










32 


9.664 89 


9.717 09 


31 

31 


0.282 91 


9.947 80 


7 
6 


28 


rr 


7 


6 




33 


9-665 13 


9.717 40 


0-282 60 


9.947 73 


27 


1 


0-1 


01 




34 


9-665 37 


9.717 71 


0.282 29 


9.947 67 


26 


2 


0-2 


0-2 








2s 




31 






7 




3 


0-4 


0-3 




35 


9.665 62 


24 
24 
24 
24 


9.718 02 


31 
30 
31 
31 


0-281 98 


9.947 60 


7 
6 
7 
6 


25 


4 


0-5 


0-4 




36 


9.665 46 


9.718 33 


0-281 67 


9.947 53 


24 










37 


9.666 10 


9.718 63 


0-281 37 


9-947 47 


23 


5 


0-6 


0-5 




38 


9.666 34 


9-718 94 


0.281 06 


9.947 40 




6 


0-7 


0-6 




?9 


9.666 58 


9-719 25 


0-280 75 


9.947 34 


4: 


7 


0-8 


0-7 








24 




30 






7 




8 


0-9 


0-8 




to 


9.666 82 


24 
25 
24 
24 


9.719 55 


31 
31 

31 
30 


0.280 45 


9.947 27 


7 
6 

7 
7 


20 


9 


10 


0-9 




n 


9 66'/06 


9-719 86 


0-280 14 


9.947 20 


19 










t2 


9.667 3l 


9-720 17 


0-279 83 


9.947 14 


18 


10 


1-2 


1-0 




43 


9.667 55 


^2048 

9-72)7 8 


0-279 52 


9.947 07 


17 


20 


2-3 


2-0 




M 


9.667 79 


0-279 22 


9.947 00 


16 


30 


3-5 


3-0 








24 




31 






6 




40 


4.7 


4-0 




45 


9.668 03 


24 
24 
24 
24 


9.721 09 


31 
30 
31 

30 


0-278 91 


9.946 94 


7 
7 
6 
7 


15 


50 


5-8 


5-0 




46 


9.668 27 


9-721 40 


0.278 60 


9.946 87 


14 










47 


9.668 51 


9-721 70 


0-278 30 


9.946 80 


13 










48 


9.668 75 


9.722 01 


0.277 99 


9.946 74 


12 










49 


9.668 99 


9.722 3 1 


0.277 69 


9.946 67 


11 




7 


6 


6 






23 




31 






7 






30 


31 


30 


50 


9.669 22 


24 
24 
24 
24 


9-722 62 


31 
30 
31 
30 


0-277 38 


9.946 60 


6 

7 
7 
6 


10 










51 


9.669 46 


9-722 93 


0-277 07 


9.946 54 


9 










52 


9,669 70 


9.723 23 


0-276 77 


9.946 47 


8 










53 


9-669 94 


9-723 54 


0-276 46 


9.946 40 


7 











54 


9-67018 


9-723 84 


0.276 16 


9.946 34 


6 


1 


2-1 


2.6 


2-5 






24 




jI 






7 




2 


6-4 


7 8 


7-5 


55 


9-670 42 


24 
24 
23 
24 


9.72415 


30 
31 
30 
31 


0-275 85 


9.946 27 


7 
6 

7 
7 


5 


3 


10-7 


12-9 


12-5 


56 


9-670 66 


9.724 45 


0.275 55 


9.946 20 


4 


4 


15-0 


18.1 


17-5 


57 


9-670 90 


9-724 76 


0-275 24 


9-946 14 


3 


5 


19-3 


23-2 


22-5 


58 


9.671 13 


9-725 06 


0-274 94 


9.946 07 


2 


6 


23.6 


28.4 


27-5 


59 


9-671 37 


9-725 37 


0.274 63 


9.946 00 


1 


7 


27.9 


— 








24 




30 






7 












60 


9.671 61 




9.725 67 




0.274 33 


9-945 93 


d. 




r 










/ 


L. Cos. 


d. 


L. cot. 


-.d 


L. Tan. 


L. Sin. 


P.P. 



117 (297 ) 



(242 ) 62 



72 



{(ZontinweS^ 



SP: 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 

(331 ) 151° 



28» (208 ) 



/ 


L' Sin. 


I. 

!4 
13 
•4 
14 


L. Tan. 


;.d. 

31 
30 
31 
30 


L. Cot. 


L. COS. 


i. 
5 


4) 


p.p. 





9-671 61 


9.725 67 


0-274 33 


9-945 93 










1 

2 
3 


9.671 85 

9.672 08 
9-672 32 


9-725 98 

9.726 28 
9.726 59 


0-274 02 
0-273 72 
0-273 41 


9.945 87 
9-945 80 
9-945 73 


7 
7 
6 


9 
8 

7 


It 

1 

2 


31 
0-5 
1-0 


30 
0-5 
1-0 


29 
0-5 
10 


4 


9-672 56 


9.726 89 


0-273 11 


9.945 67 


6 


3 


1-6 


1-5 


1-4 






!4 




31 






7 




4 


2-1 


2-0 


1-9 


5 


9-672 80 


!3 
>4 
>3 
>A 


9.727 20 


30 
30 
31 
30 


0.272 80 


9-945 60 


7 
7 
6 
7 


i5 










6 


9-673 03 


9.727 50 


0-272 50 


9.945 53 


A 


5 


2.6 


2.5 


2-4 


7 


9.673 27 


9-727 80 


0.272 20 


9.945 46 


13 


6 


3-1 


30 


2-9 


8 


9-673 50 


9-72811 


0-271 89 


9-945 40 


i2 


7 


3-6 


3-5 


3-4 


9 


9-673 74 


9.728 41 


0-271 59 


9-945 33 


11 


8 


4-1 


4-0 


3-9 






14 




3il 






7 




9 


4.6 


4.5 


4-4 


10 


9-673 98 


13 
24 
23 
24 


9-728 72 


30 
30 
31 
30 


0-271 28 


9.945 26 


7 
6 

7 

7 


>0 










11 


9-674 21 


9-729 02 


0-270 98 


9.945 19 


^9 







5-0 


4-8 


12 


9-674 45 


9-729 32 


0.270 68 


9.945 13 


iS 


10 


15: 


10.0 


9-7 


13 


9-674 68 


9-729 63 


0.270 37 


9.945 06 


\1 


10 


15-5 


15-0 


145 


14 


9-674 92 


9-729 93 


0.270 07 


9.944 99 


^6 


rO 


20.7 


20.0 


19-3 






23 




30 






7 




10 


25.8 


25-0 


24-2 


IS 


9-675 15 


24 

23 

24 
22 


9.730 23 


31 
30 
30 
30 


0.269 77 


9.944 92 


7 


^s 










16 


9-675 39 


9-730 54 


0-26946 


9.944 85 


K 


» 


24 


23 


22 


17 


9-675 62 


9-730 84 


0-26916 


9.944 79 


4 

7 


t3 


1 


0-4 


0-4 


0-4 


18 


9-675 86 


9-731 14 


0-268 86 


9.944 72 


\2 


2 


0-8 


0-8 


0-7 


19 


9-676 09 


9-731 44 


0.268 56 


9,944 6.5 


n 


3 


1-2 


1-2 


1-1 






24 




11 






7 




4 


1-6 


1-5 


1-5 


2fl 


9.676 33 


2- 
21 
2- 
2- 


9.731 75 


JO 
30 
30 
SO 


0-268 25 


9-944 58 


7 
6 
7 

7 


Ifl 










21 


9.676 56 


9,732 05 


0-267 95 


9-944 51 


39 


5 


20 


1-9 


1-8 


22 


9-676 80 


9.732 35 


0-267 65 


9.944 45 


38 


6 


2-4 


2-3 


2-2 


23 


9-677 03 


9.732 65 


0-267 35 


9.944 38 


37 


7 


2-8 


2-7 


2-6 


24 


9-677 26 


9.732 95 


0-267 05 


9.944 3 1 


36 


8 


3-2 


31 


2-9 






2' 




51 






7 




9 


3.6 


3.4 


3-3 


2« 


9-677 50 


2: 
r. 

2' 

2: 


9-733 26 


)0 
!0 
JO 
JO 


0-266 74 


9-944 24 


7 
7 
6 

7 


35 










2« 


9.677 73 


9-733 56 


0-266 44 


9.944 17 


34 


10 


4-0 


3.8 


3.7 


2: 


9.677 96 


9-733 86 


0-266 14 


9.944 10 


33 


20 


80 


7-7 


7-3 


26 


9-678 20 


9-734 16 


0-265 84 


9-944 04 


33 


30 


12.0 


11-5 


no 


2? 


9.678 43 


9-734 46 


0-265 54 


9-943 97 


31 


W 


16-0 


15-3 


14.7 






2: 




30 






7 




50 


20-0 


19.2 


18-3 


3( 


9.678 66 


2' 

2- 
2: 
2: 


9.734 76 


51 
}0 
30 
JO 


0-265 24 


9-943 90 


7 
7 

7 
7 


JC 










31 


9.678 90 


9-735 07 


0-264 93 


9.943 83 


25 










3: 


9.679 13 


9.735 37 


0-264 63 


9.943 76 


2S 


It 


7 


6 




3; 


9-679 36 


9.735 67 


0-264 33 


9.943 69 


r, 


1 


0-1 


01 




S'i 


9.679 59 


9-735 97 


0-264 03 


9.943 62 


It 


2 


0-2 


0-2 








2: 




30 






7 




3 


0-4 


0-3 




3; 


9.679 82 


2- 
2: 
2: 

2. 


9.736 27 




0-263 73 


9.943 5.5 


6 

7 
7 
7 


21 


4 


OS 


0-4 




3( 


9-680 06 


9.736 57 


30 


0-263 43 


9.943 49 


1" 










3: 


9-68029 


9.736 87 


30 


0-263 13 


9-943 42 


2; 


5 


0-6 


OS 




3! 


9-680 52 


9.737 17 


30 


0-262 83 


9-943 35 


2; 


6 


0-7 


0-6 




3! 


9.680 75 


9.737 47 


30 


0-262 53 


9.943 28 


21 


7 


0-8 


0-7 








2. 




30 






7 




8 


0-9 


0-8 




« 


9.680 98 


2 
2 
2 
2 


9.737 77 




0-262 23 


9.943 21 


7 
7 
7 

1 


2( 


9 


1-0 


0-9 




4: 


9-68121 


9-738 07 


30 


0-261 93 


9.943 14 


1< 










4: 


9.681 44 


9.738 37 


30 


0-261 63 


9943 07 


IS 


10 


1.2 


1-0 




4: 


9.681 67 


9.738 67 


30 


0-261 33 


9-943 00 


i: 


20 


2-3 


2-0 




4- 


9.681 90 


9.738 97 


30 


0-261 03 


9.942 93 


/ 


i( 


30 


3-5 


3-0 








2 




30 






7 




40 


4.7 


4-0 




4: 


9.682 13 


2 
2 
2 

2 

2 

2 
2 
2 
2 


9.739 27 




0-260 73 


9.942 86 


T 


1; 


50 


5-8 


SO 




4( 


9.682 37 


9.739 57 


30 


0-260 43 


9.942 79 


I 


1' 










4' 


9.682 60 


9.739 87 


30 


0-260 13 


9.942 73 


1: 










4: 


9.682 83 


9.740 17 


30 


0-259 83 


9.942 66 


1: 




7 


6 


6 


4' 


9.683 05 


9.740 47 


30 


0-259 53 


9.942 59 


/ 


1: 




31 


31 


30 


51 


9.683 28 


9-740 77 


30 


0-259 23 


9-942 52 


i 

7 
5 


11 










5 


9-683 51 


9.741 07 


30 


0-258 93 


9-942 45 


< 










5 


9.683 74 


9.741 37 


30 


0-258 63 


9.942 38 


i 











5 


9.683 97 


9-741 66 


29 


0-258 34 


9.942 31 


7 




1 


2-2 


2-6 


2.5 


5 


9.684 20 


9-741 96 


30 


0-258 04 


9.942 24 


"t 


( 


2 
3 


6-6 


7-8 


7-S 






2 




30 






"f 




11-1 


12-9 


12-5 


5 


9.684 43 


2 
2 
2 
2 

2 
c 


9.742 26 




0.257 74 


9.942 17 




1 


4 


15-5 


18.1 


17-5 


5 


9.684 66 


9.742 56 


30 


1 0.257 44 


9-942 10 


i 


. 


5 


19.9 


23.2 


22.5 


5 


9.684 89 


9-742 86 


30 


0.257 14 


9.942 03 


* 




6 


24.4 


28.4 


27-5 


5 


9.685 12 


9.743 16 


30 


0-256 84 


9-941 96 


1 




7 


28.8 




— 


5 


9.685 34 


9.743 45 


29 


0-256 55 


9.941 89 














6 


9.685 57 


9.743 75 


30 


0-256 2.5 


9.941 82 




- 












L. Cos. 


L. Cot. 


c.d. 


L- Tan. 


L. Sin. 


d 


P.P. 



XW (298 ) 



(241 ) 61' 



73 



{fiontinued 



SP: 8 - 1970 





TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 


— Contd 






29° 


(209°) 










(330°) 150 


» 








' 


L. Sin. 


d. 

23 
2' 


L. Tan. 


r;.d 

30 
30 


L. cot. 


L. COS. 


d 


f 

6( 


P.P. 





9'685 57 


9-743 75 


0-256 25 


9-941 82 












1 


9'685 80 


9.744 0.5 


0-255 99 


9-941 75 




$<-. 










2 


9-686 03 


22 
2'- 


9-744 35 


3C 


0-255 65 


9.941 68 




5j 


# 


30 


29 


23 


3 


9.686 2.5 


9-744 65 


29 


0-255 35 


9-94161 




5: 


1 


0-5 


0-5 


0-4 


4 


9.686 48 


2- 


9-744 94 


30 


0-255 06 


9.941 54 


5< 




2 

3 


1-0 

1-5 


1-0 
1-4 


0-8 
1-2 


5 


9.686 71 


2j 


9-74S 24 


30 


0-254 76 


9-941 47 




5; 


4 


20 


1-9 


1-5 


6 


9.686 94 


22 


9.745 54 


29 


0-25446 


9-941 40 




5^ 










7 


9.687 16 


23 


9-745 83 


30 


0-254 17 


9-941 33 




53 


5 


2-5 


2-4 


1-9 


8 


9'687 39 


23 


9.746 13 


30 


0-253 87 


9.941 26 




52 


6 


3-0 


2-9 


2-3 


9 


9.687 62 


22 


9.746 43 


30 


0.253 57 


9.941 19 




51 


7 
8 


3-5 
4-0 


3-4 
3-9 


2-7 
31 





9.687 84 


23 


9.746 73 


29 


0-253 27 


9-941 12 


7 
7 
8 
7 


50 


9 


4-5 


4.4 


3-4 


1 


9'688 07 


22 


9-747 02 


30 


0-252 98 


9-941 05 


49 










2 


9.688 29 


23 


9-747 32 


30 


0-252 68 


9-940 98 


48 


10 


5-0 


4-8 


3-8 


3 


9.688 52 


23 


9-747 62 


29 


0-252 38 


9-940 90 


47 


20 


10-0 


9-7 


7-7 


4 


9688 75 




9.747 91 




0-252 09 


9-940 83 


46 


30 


15-0 


14-5 


11-5 






22 




30 






7 




40 


200 


19-3 


lS-3 


5 


9.688 97 


23 


9-748 21 


30 


0.251 79 


9-940 76 


7 
7 
7 

7 


45 


50 


25.0 


24.2 


19-2 


6 


9.689 20 


22 


9.748 51 


29 


0.251 49 


9.940 69 


44 










7 


9.689 42 


23 


9.748 80 


30 


0.251 20 


9.940 62 


43 










8 


9.689 65 


22 


9-749 10 


29 


0-25090 


9-940 55 


42 


» 


22 


8 


7 


9 


9.689 87 




9.749 39 




0-250 61 


9.940 48 


41 


1 


0-4 


0-1 


01 






23 




30 






7 




2 


0-7 


0-3 


0-2 


10 


9'690 10 


22 


9.749 69 


29 


0-250 31 


9.940 41 


7 
7 
7 
8 


40 


3 


1-1 


0-4 


0-4 


'.1 


9.690 32 


23 


9.749 98 


30 


0-250 02 


9.940 34 


39 


4 


1-5 


OS 


0-S 


!2 


9.690 55 


22 


9-750 28 


30 


0.249 72 


9.940 27 


38 










!3 


9-690 77 


23 


9.750 58 


29 


0.249 42 


9.940 20 


37 


5 


1-8 


0-7 


0-6 


24 


9.691 00 




9.750 87 




0.249 13 


9.940 12 


36 


6 


2-2 


0-8 


0-7 






22 




30 






7 




7 


2-6 


0-9 


0-8 


25 


9.691 22 


22 


9.751 17 


29 


0.248 83 


9-940 05 


7 
7 
7 

7 


35 


8 


2-9 


1-1 


0-9 


26 


9.691 44 


23 


9.751 46 


30 


0-248 54 


9.939 98 


34 


9 


3-3 


1-2 


10 


27 


9.691 67 


22 


9.751 76 


29 


0.248 24 


9.939 91 


33 










28 


9.691 89 


23 


9.752 05 


30 


0-247 9.5 


9.939 84 


32 


10 


3-7 


1-3 


1-2 


29 


9.692 12 




9.752 35 




0-247 65 


9.939 77 


31 


20 


7-3 


2-7 


2-3 






22 




29 






7 




30 


11-0 


4-0 


3-5 


JO 


9.692 34 


22 


9.752 64 


30 


0-247 36 


9.939 70 


7 
8 
7 
7 


30 


40 


14-7 


5-3 


4-7 


31 


9.692 56 


23 


9.752 94 


29 


0.247 06 


9.939 63 


29 


50 


18.3 


6-7 


5-8 


32 


9.692 79 


22 


9.753 23 


30 


0-246 77 


9.939 55 


28 










33 


9.693 01 


22 


9.753 53 


29 


0.246 47 


9.939 48 


27 










34 


9.693 23 




9.753 82 




0-246 18 


9.939 41 


26 














22 




29 






7 












35 


9.693 45 


23 


9.754 11 


30 


0-245 89 


9.939 34 


7 
7 
8 

7 


25 










36 


9.693 68 


22 
22 


9-754 41 


29 


0-245 59 


9.939 27 


24 




8 


_8__ 




37 


9.693 90 


9.754 70 


30 


0.245 30 


9.939 20 


23 




3 


29 




38 


9.694 12 


22 


9.755 00 


29 


0-245 00 


9.939 12 


22 










39 


9.694 34 




9.755 29 




0-244 71 


9.939 05 


21 




1 
2 












22 




39 






7 




1-9 


1.8 




(0 


9.694 56 


23 
22 
22 
22 


9.755 58 


30 


0-244 42 


9.938 98 


7 
8 
7 




5-6 


5-4 




n 


9.694 79 


9.755 88 


19 


0-244 12 


9.938 91 


11! 


3 
4 


9-4 


91 




\2 


9.695 01 


9.756 17 


30 


0-243 83 


9.938 84 


18 


131 


12-7 




J3 


9.695 23 


9.756 47 


29 


0-243 53 


9.938 76 


17 


5 


16.9 


16-3 




w 


9-695 45 




9.756 76 




0.243 24 


9.938 69 




16 


6 

7 
g 


20.6 


19.9 








22 




29 






7 




24.4 


23.6 




V5 


9.695 67 


22 


9.757 05 


30 


0-242 95 


9.938 62 


7 
8 

7 
7 

7 


15 


28-1 


27.2 




t6 


9.695 89 


22 


9,757 35 


29 


0-242 65 


9.938 5 5 


14 










J7 


9.696 11 


22 
22 


9.757 64 


J9 


0.242 36 


9.938 47 


13 










t8 


9.696 33 


9.757 93 


19 


0-242 07 


9.938 40 


12 




7 


7 




%<) 


9.696 55 


22 


9.758 22 


30 


0-241 78 


9.938 33 


11 




30- 


29 




50 


9.696 77 


22 
22 


9.758 52 


29 


0.241 48 


9.938 26 


7 
8 
7 
7 


10 




1 
2 
3 








?1 


9.696 99 


9-758 81 


29 


0.241 19 


9-938 19 


9 


2-1 


2.1 




52 


9.697 21 


22 
22 


9.759 10 


19 


0-240 90 


9.938 11 


8 


6-4 


6-2 




53 


9.697 43 


9.759 39 


30 


0-240 61 


9-938 04 


7 


10-7 


10-4 




54 


9.697 65 




9-759 69 




0.240 3 1 


9.937 97 


6 


150 


14 5 








22 




29 






8 




4 
5 
6 
7 


19.3 


18.6 




55 


9.697 87 


22 
22 
22 
22 


9-759 98 


29 


0-240 02 


9.937 89 


7 
7 
7 
8 


5 


23.6 


22.8 




56 


9.698 09 


9-760 27 


29 


0.239 73 


9,937 82 


4 


27.9 


26.9 




57 


9.698 31 


9.760 56 


30 


0.239 44 


9.937 75 


3 








58 


9.698 53 


9-760 86 


29 


0.239 14 


9.937 68 


2 










59 


9.698 75 


9.761 15 




0.238 85 


9.937 60 


1 














22 




29 






7 












50 


9.698 97 


i. 


9.761 44 




0.238 56 


9.937 53 















' 


I- Cos. 


L. Cot. 


c.d. 


L. Tan. 


X. Sin. 


J. 


P.P. 


119° 


(299°) 


(240°) 60° 





74 



(Continued] 



SP: 8 - 1970 





TABLE 


6 LOGARITHMS 


OF TRIGONOMETRIC FUNCTIONS - 


~ Contd 






30° 


(210°) 










(329°) 149° 










/ 


L. Sin. 


1. 


L. Tan. 


:,d. 

29 
29 
29 
30 


L. cot. 


L. Cos. 




/ 


P.P. 





9-698 97 


2 

12 

11 


9.761 44 


0-238 56 


9.937 53 


7 
8 
7 
7 


60 










1 


9699 19 


9.761 73 


0-238 27 


9-937 46 


59 


* 


30 


29 


28 


2 


9-699 41 


9-762 02 


0-237 98 


9-937 38 


58 


1 


0-5 


0-5 


0-5 


3 


9.699 63 


,2 
11 


9-762 31 


0-237 69 


9.937 31 


57 


2 


1-0 


1-0 


0-9 


4 


9.699 84 


9.762 61 


0.237 39 


9.937 24 




56 


3 


1-5 


1-4 


1-4 






!2 




29 






7 




4 


2-0 


1-9 


1-9 


S 


9.700 06 


!2 
!2 
12 
11 


9-762 90 


9 
49 
29 
29 


0-237 10 


9.937 17 


8 
7 
7 
8 


55 










6 


9.700 28 


9-763 19 


0-236 81 


9.937 09 


54 


5 


2-5 


2-4 


2-3 


7 


9-700 50 


9-763 48 


0-236 52 


9-937 02 


S3 


6 


3-0 


2-9 


2-8 


8 


9-700 72 


9.763 77 


0-236 23 


9-930 95 


52 


7 


3-5 


3-4 


3-3 


9 


9-700 93 


$764 06 


0.235 94 


9.936 87 


51 


8 


4-0 


3-9 


3-7 






!2 




29 






7 




9 


4.5 


4-4 


4-2 


10 


9-70115 


>2 
!2 

11 
12 


9-764 35 


29 
29 
29 

2;9 


0-235 65 


9.936 80 


7 
8 
7 
8 


50 










11 


9-701 37 


9-764 64 


0-235 36 


9.936 73 


49 





5-0 


4.8 


4-7 


12 


9-701 59 


9-764 93 


0-235 07 


9.936 65 


48 


10 


10-0 


9-7 


9-3 


13 


9-701 80 


9-765 22 


0.234 78 


9.936 58 


47 


10 


15-0 


14-5 


140 


14 


9-702 02 


9-765 51 


0-234 49 


9.936 50 


46 


to 


20-0 


19.3 


18.7 






12 




29 






7 




;o 


25-0 


24.2 


23-3 


15 


9.702 24 


)1 


9-765 80 


219 
30 
29 
219 


0-234 20 


9.936 43 


7 


45 










16 


9.702 45 


>2 
21 
22 


9-766 09 


0-233 91 


9.936 36 


8 
7 
7 


44 


»r 


22 


21 




17 


9.702 67 


9-766 39 


0-233 61 


9-936 28 


43 


1 


0-4 


0-4 




18 


9.702 88 


9-766 68 


0-233 32 


9.936 21 


42 


2 


0-7 


0-7 




19 


9.703 10 


9-766 97 


0-233 03 


9.936 14 


41 


3 


1-1 


1-0 








22 




i!8 






8 




4 


1-5 


t-4 




20 


9-703 32 


21 
22 
21 
22 


9.767 25 


i!9 
29 
29 
29 


0-232 75 


9.936 06 


7 
8 
7 
7 


40 










2i 


9.703 53 


9-767 54 


0-232 46 


9-935 99 


39 


5 


1-8 


1-8 




22 


9-703 75 


9-767 83 


0-232 17 


9-935 91 


3S 


6 


2-2 


2-1 




23 


9-703 96 


9.768 12 


0.231 88 


9.935 84 


3/ 


7 


2-6 


2-4 




24 


9.704 18 


9.768 41 


0-23159 


9-935 77 


36 


8 


2.9 


2-8 








21 




29 






8 




9 


3.3 


3-2 




25 


9-704 39 


22 
21 
22 
21 


9-768 70 


:i9 
:i9 

29 
29 


0-231 30 


9.935 69 


7 
8 
7 
8 


35 










26 


9-704 61 


9-768 99 


0-231 01 


9-935 62 


34 


10 


3-7 


3-5 




27 


9-704 82 


9-769 28 


0-23072 


9.935 54 


33 


20 


7-3 


7-0 




2S 


9-705 04 


9-769 57 


0-230 43 


9.935 47 


32 


50 


11-0 


10-5 




29 


9-705 25 


9-769 86 


0-230 14 


9.935 39 


31 


W 


14.7 


14.0 








22 




29 






7 




50 


18.3 


17.5 




3c 


9-705 47 


21 
22 
21 
22 


9-770 15 


29 
29 
28 
29 


0-229 85 


9.935 32 


7 
8 
7 
8 


3c 










31 


9-705 68 


9-770 44 


0-229 56 


9.935 25 


29 


m 


8 


7 




32 


9-705 90 


9.770 73 


0-229 27 


9.935 17 


2i 


1 


0-1 


01 




3: 


9.706 11 


9.771 01 


0.228 99 


9-935 10 


27 


2 


0-3 


0-2 




34 


9.706 33 


9.771 30 


0.228 70 


9.935 02 


2t 


3 


0-4 


0-4 








21 




29 






7 




4 


0-5 


0-5 




3; 


9-706 54 


21 
22 


9.771 59 


29 
29 
29 
2i 


0.228 41 


9.934 95 


8 
7 
8 
7 


21 










3« 


9.706 75 


9.771 88 


0-228 12 


9.934 87 


21 


5 


0-7 


0-6 




3: 


9.706 97 


9.772 17 


0-227 83 


9-934 80 


2; 


6 


0-8 


0-7 




3J 


9.707 18 


4: 


9.772 46 


0.227 54 


9-934 72 


2: 


7 


0-9 


0-8 




3< 


9.707 39 


9.772 74 


0.227 26 


9.934 65 


21 


8 


1-1 


0-9 








22 




25 






8 




9 


1-2 


10 




4( 


9.707 61 




9.773 03 


29 
29 
29 
2i 


0-226 97 


9.934 57 


7 
8 
7 
8 


2( 










41 


9-707 82 


3: 
21 
22 


9-773 32 


0-226 68 


9-934 50 


1? 


10 


1-3 


1.2 




4; 


9-708 03 


9-773 61 


0.226 39 


9-934 42 


1! 


20 


2-7 


2.3 




4: 


9.708 24 


9.773 90 


0.226 10 


9.934 35 


1: 


30 


40 


3.5 




4' 


9.708 46 


9.774 18 


0.225 82 


9-934 27 


K 


40 


5-3 


4.7 








21 




2? 






7 




50 


6-7 


5.8 




4: 


9-708 67 


21 
21 
22 
21 


9.774 47 


2« 
2< 
2{ 
2? 


0.225 53 


9.934 20 


8 

7 
8 

7 


1; 










4i 


9-708 88 


9-774 76 


0-225 24 


9.934 12 


1' 










4' 


9-709 09 


9-775 05 


0-224 95 


9.934 05 


1: 










41 


9-709 31 


9.775 33 


0-224 67 


9.933 97 


1: 










4 


9-709 52 


9.775 62 


0-224 38 


9.933 90 


1 














21 




2< 






8 






7 


7 


7 


5( 


9-709 73 


21 


9.775 91 


2! 

2 
2< 

2 


0-224 09 


9.933 82 


7 
8 
7 
8 


10 




30 


^ 


28 


5 


9-709 94 


21 

21 
2: 


9,776 19 


0-223 81 


9.933 75 


9 










5 


9-71015 


9.776 48 


0-223 52 


9.933 67 


8 











5 


9-710 36 


9.776 77 


0.223 23 


9.933 60 


7 


1 


2.1 


2-1 


2-0 


5 


9-710 58 


9.777 06 


0.222 94 


9.933 52 


6 


2 


6-4 


6-2 


6-0 






2: 




21 






8 




3 


10-7 


10.4 


lo.c 


5 


9.710 79 


2: 
2- 

2: 
2 

2 
d 


9-777 34 


2 
21 
2 
2 

2: 


0.222 66 


9-933 44 


7 
8 
7 
8 

7 


5 


4 
5 


15.0 


14.5 


14-C 


5 


9-71100 


9-777 63 


0.222 37 


9-933 37 


4 


19.3 


18.6 


18-( 


5 


9.71121 


9-777 91 


0.222 09 


9.933 29 


3 


6 


23.6 


22.8 


22-( 


5 


9-71142 


9-778 20 


0.221 80 


9.933 22 


2 


7 


27.9 


26.9 


26-( 


5 


9-71163 


9-778 49 


0.221 51 


9.933 14 


1 










6 


9-71184 


9-778 77 


0-221 23 


9.933 07 















L. COS. 


L. cot. 


C.I 


L. Tan. 


L. Sin. 


d. 


1 ' 


P.P. 


12 


J° (300 ) 












(239 ) 59 












75 



(Continuea 



SP: 8 - 1970 



31° (211 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(SaS") 148 



- Contd 



10 

11 
12 
13 
14 

IS 
16 
17 
IS 
19 

20 
21 
22 
23 

24 

25 
26 
27 
28 
29 

30 

31 
32 
33 
34 

35 
36 
37 

38 
39 

40 
41 
42 

43 
44 

45 
46 
47 
48 
49 

50 

51 
52 
53 
54 

55 
56 
57 
58 
59 

60 



L. Sin. 



9-711 84 
9-712 05 

9-712 26 
9.712 47 
9.712 68 

9.712 89 

9.713 10 
9.713 31 
9.713 52 
9.713 73. 

9.713 93 
9-714 14 
9-714 35 
9-714 56 

9.714 77 

9.714 98 
9-715 19 

9-715 39 

9.715 60 

9.715 81 

9.716 02 
9.716 22 
9.716 43 
9.716 64 

9.716 85 

9-717 05 

9.717 26 
9.717 47 
9.717 67 

9.717 88 

9.718 09 
9.718 29 
9.718 SO 
9.718 70 

9.718 91 

9.719 11 
9-719 32 

9.719 52 
9.719 73 

9.719 94 

9-720 14 
9-720 34 
9-720 55 

9.720 75 

9.720 96 

9.721 16 
9.721 37 
9-721 57 

9.721 77 

9.721 98 

9.722 18 
9-722 38 
9-722 59 
9-722 79 

9.722 99 

9.723 20 
9.723 40 
9.723 60 

9.723 81 

9.724 01 

9.724 21 



I.. Cos. 



(i. 



21 
21 

21 
21 

21 

21 
21 
21 
21 

20 



4: 
21 
21 

21 

21 
20 
21 

21 

21 

20 
21 
21 
21 

20 

21 
21 
20 
21 

21 

20 
21 
20 

21 

20 

21 
20 
21 
21 

20 

20 
21 
20 

21 

20 

21 
20 
20 
21 

20 

20 
21 
20 

20 

21 

20 
20 
21 
20 

20 



L. Tan. 



9.778 77 
9-77906 
9-779 35 

9.779 63 
9.779 92 

9-780 20 
9-780 49 
9-780 77 
9-781 06 

9.78 35 

9.781 63 

9.781 92 

9.782 20 
9.782 49 

9.782 77 

9.783 06 
9.783 34 
9.783 63 

9.783 91 

9.784 19 

9-784 48 

9.784 76 
9-785 OS 
9-785 33 

9.785 62 

9.785 90 

9.786 18 
9.786 47 

9.786 75 
9-787 04 

9.787 32 
9.787 60 

9.787 89 

9.788 17 

9.788 45 

9-788 74 
9-789 02 

9.789 30 
9.789 59 

9.789 87 

9.79015 

9.790 43 

9.790 72 

9.791 00 
9.791 28 

9.791 56 
9-791 85 
9-79213 
9-792 41 

9.792 69 

9.792 97 

9.793 26 
9-793' 54 
9-793 82 
9-794 10 

9-794 38 
9-794 66 
9-794 95 
9-795 23 
9-795 51 

9,795 79 



L. cot. 



:.d. 



29 
29 
28 
29 

28 

29 
28 
29 
29 

28 

29 
28 
29 
28 

29 

28 
29 
28 
28 

29 

28 
29 
28 
29 

28 

28 
29 
28 
29 

28 

28 
29 
28 
28 

29 

28 
28 
29 
28 

28 

28 
29 
28 
28 

28 

29 
28 
28 
28 

28 

29 
28 
>8 
28 

28 

28 
J9 
>8 
28 

!8 



.d. 



L. Cot. 



0-221 23 

0.220 94 
0.220 65 
0.220 37 
0.220 08 

0-219 80 
0-219 51 
0-219 23 
0-218 94 
0-218 65 

0-218 37 
0-218 08 
0-217 80 
0-217 51 
0-217 23 

0.216 94 
0216 66 
0.216 37 
0-216 09 
0-215 81 

0-215 52 
0-215 24 

0.214 95 
0.214 67 
0.214 38 

0.214 10 
0-213 82 
0-213 53 

0.213 25 
0.212 96 

0.212 68 
0-21240 
0-212 11 
0.211 83 
0-211 55 

0-21126 

0.210 98 
0-210 70 

0.210 41 
0.210 13 

0-209 85 
0-209 57 
0-209 28 
0-209 00 
0-208 72 

0-208 44 
0-208 15 
0-207 87 
0-207 59 
0-207\31 

0-207 03 
0-206 74 
0-206 46 
0-206 1.8 
0-205 90 

0.205 62 
0-206 34 
0-205 05 
0-20477 

0.204 49 

0.204 21 



L. Tan. 



9.933 07 
9.932 99 
9.932 91 
9.932 84 
9-932 76 

9.932 69 
9.932 61 
9.932 53 
9-932 46 

9.932 38 

9.932 30 
9.932 23 
9.932 15 
9.932 07 
9-932 00 

9-931 92 

9.931 84 
9.931 77 
9.931 69 
9.931 61 

9.931 54 
9.931 46 
9.931 38 
9.931 31 
9.931 23 

9.93115 
9.931 08 
9.931 00 
9.930 92 
9.930 84 

9.930 77 
9-930 69 
9.930 61 
9.930 53 
9.930 46 

9-930 38 
9.930 80 
9.930 22 
9-930 14 
9-930 07 

9-929 99 
9-929 91 

9.929 83 
9.929 76 
9.929 68 

9.929 60 
9.929 52 
9-929 44 

9.929 36 
9.929 29 

9-929 21 
9.929 13 
9.929 OS 
9.928 97 
9.928 89 

9.928 81 
9.928 74 
9-928 66 

9.928 58 
9.928 SO 

9.928 42 



L. Sin. 



d. 



6( 

5< 

5{ 

5: 

5( 

5; 

5^ 
5- 

5: 

5] 

5( 

4? 
4f 

4; 
4( 

4! 

44 
41 
45 
41 

4E 

3? 
3f 
37 
3f 

3! 

34 
31 
32 
31 

30 

29 

2S 
27 
26 

25 
24 
23 
22 
21 

20 

19 
18 

17 
16 

15 
14 
13 
12 

11 

10 
9 
8 
7 
6 

5 
4 
3 
2 

1 



P.P. 



» 


29 


28 


1 


0-5 


0-5 


2 


10 


0-9 


3 


1-4 


1-4 


4 


1-9 


1-9 


5 


2-4 


2-3 


6 


2-9 


2-8 


7 


3-4 


3-3 


8 


3-9 


3-7 


9 


4-4 


4-2 


10 


4-8 


4-7 


20 


9-7 


9-3 


30 


14-5 


140 


40 


19.3 


18-7 


50 


24.2 


23-3 


* 


21 


20 


1 


0-4 


0-3 


2 


0-7 


0-7 


3 


1-0 


10 


4 


1-4 


1-8 


5 


1-8 


1-7 


6 


2-1 


2-0 


7 


2-4 


2-2 


8 


2.8 


2-7 


9 


3-2 


30 


10 


3-5 


3-3 


20 


7-0 


6-7 


30 


10-5 


100 


40 


14.0 


13-3 


50 


17-5 


16-7 


» 


8 


7 


1 


01 


01 


2 


0-3 


0-2 


3 


0-4 


0-4 


4 


0-5 


0-5 


5 


0-7 


0-6 


6 


08 


0-7 


7 


0-9 


0-8 


8 


1-1 


0-9 


9 


1.2 


1-0 


10 


1-3 


1-2 


20 


2-7 


2-3 


30 


4-0 


3-5 


40 


5-3 


4-7 


50 


6-7 


5-8 



8 
30 



29 



1-9 


1-8 


5-6 


5-4 


9-4 


9-1 


13-1 


127 


16-9 


16.3 


20.6 


19-9 


24.4 


23.6 


28-1 


27.2 



28 

1-8 
5-2 
8-8 
12-2 
15-8 
19-2 
22-8 
26-2 



P.P. 



121° (301 ) 



(238 ) 58 



76 



(Continued) 



SP:8- 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC 



32 


212°) 






/ 


L. Sin. 


d. 

20 
20 

21 
20 


L. Tan. 





9-724 21 


9-795 79 


1 


9-724 41 


9-796 07 


2 


9.724 61 


9-796 35 


3 


9.724 82 


9-796 63 


4 


9-725 02 


9-796 91 






20 




5 


9-725 22 


20 
20 

20 
20 


9.797 19 


6 


9-725 42 


9-797 47 


7 


9-725 62 


9.797 76 


8 


9.725 82 


9-798 04 


9 


9.726 02 


9-798 32 






20 




10 


9-726 22 


21 
20 

20 
20 


9-798 60 


11 


9-726 43 


9-798 88 


12 


9-726 63 


9-799 16 


13 


9-726 83 


9-799 44 


14 


9-727 03 


9-799 72 






20 




15 


9-727 23 


20 
20 
20 
20 


9-800 00 


16 


9-727 43 


9-800 28 


17 


9.727 63 


9-800 56 


18 


9.727 83 


9-800 84 


19 


9.728 03 


9-801 12 






20 




20 


9.728 23 


20 
20 
20 


9-801 40 


21 


9.728 43 


9-801 68 


22 


9-728 63 


9-801 95 


23 


9-728 83 


9-802 23 


24 


9-729 02 


19 
20 


9-802 51 


25 


9-729 22 




9.802 79 


26 


9-729 42 


3 

20 

20 


9-803 07 


27 


9-729 62 


9-803 35 


28 


9.729 82 


9.803 63 


29 


9-730 02 


9-803 91 






20 




30 


9-730 22 


20 
20 


9-804 19 


31 


9-730 41 


9-804 47 


32 


9-730 61 


9-804 74 


33 


9-730 81 


9-805 02 


34 


9-731 01 


9-805 30 






20 




35 


9-73121 




9-805 58 


36 


9-731 40 


19 


9-805 86 


37 


9-731 60 


20 
20 
20 


9-806 14 


38 


9.731 80 


9-806 42 


39 


9.732 00 


9.806 69 






19 




40 


9.732 19 


20 
20 
19 

20 


9-806 97 


41 


9.732 39 


9-807 25 


42 


9-732 59 


9.807 53 


43 


9.732 78 


9-807 81 


44 


9.732 98 


9.808 08 






20 




45 


9-733 18 


19 
20 


9-808 36 


46 


9-733 37 


9-808 64 


47 


9-733 57 


9-808 92 


48 


9-733 77 


20 


9-809 19 


49 


9-733 96 


19 
20 


9.809 47 


50 


9.734 16 


19 
20 
19 

:o 


9-809 75 


51 


9.734 35 


9.810 03 


52 


9-734 55 


9-810 30 


53 


9-734 74 


9-810 58 


54 


9-734 94 


9.810 86 






19 




55 


9-735 13 


20 
19 
20 
19 


9-811 13 


56 


9-735 33 


9-81141 


57 


9-735 52 


9-81169 


58 


9-735 72 


9-811 96 


59 


9-735 91 


9.812 24 






20 




60 


9-736 11 


d. 


9.812 52 


t 


L. Cos. 


L. cot. 



FUNCTIONS 
(327 ) 147° 



• Contd 



:.d 


L. cot. 


L. COS. 


d. 


' 


P.P. 


28 
28 
28 
28 


0.204 21 


9-928 42 


8 
8 
8 
8 


60 


* 


20 


28 


27 


0-203 93 


9-928 34 


59 


1 


0-5 


0-5 


0-4 


0-203 65 


9.928 26 


58 


2 


1-0 


0-9 


0-9 


0-203 37 


9-928 18 


57 


3 


1-4 


1-4 


1-4 


0-203 09 


9.928 10 


56 


4 


1-9 


1-9 


1-8 


28 






7 












28 
29 

28 
28 


0-202 81 


9.928 03 


8 
8 
8 
8 


55 


5 


2-4 


2-3 


2-2 


0-202 53 


9.927 9s 


54 


6 


2-9 


2-8 


2-7 


0-202 24 


9-927 87 


53 


7 


3-4 


3-3 


3-2 


0-201 96 


9-927 79 


52 


8 


3-9 


3-7 


3-6 


0.201 68 


9.927 71 


51 


9 


4-4 


4-2 


4-0 


28 






8 












28 
28 

28 
28 


0-20i 40 


9-927 63 


8 
8 

8 
8 


50 


10 


4-8 


4.7 


4-5 


0.201 12 


9-927 55 


49 


20 


9-7 


9-3 


9-0 


0-200 84 


9.927 47 


48 


30 


14-5 


14-0 


13-5 


0.200 56 


9.927 39 


47 


40 


19-3 


18-7 


180 


0.200 28 


9.927 3 1 


46 


50 


24.2 


23-3 


22-5 


28 






8 












28 
28 
28 
28 


0.200 00 


9-927 23 


8 
8 
8 
8 


45 





21 


20 


1» 


0.199 72 


9.927 15 


44 


1 


0-4 


0-3 


03 


0-199 44 


9.927 07 


43 


2 


0-7 


0-7 


0-6 


0.199 16 


9-926 99 


42 


3 


1-0 


1-0 


1-0 


0.198 88 


9.926 91 


41 


4 


1-4 


1-3 


1-3 


28 






8 












28 
27 
28 
28 


0-198 60 


9.926 83 


8 
8 
8 
8 


40 


5 


1-8 


1-7 


1-6 


0.198 32 


9.926 73 


39 


6 


2-1 


2-0 


1-9 


0-198 OS 


9-926 67 


38 


7 


2-4 


2-3 


2-2 


0-197 77 


9.926 59 


37 


8 


2-8 


2-7 


2-5 


0.197 49 


9.926 51 


36 


9 


3-2 


3-0 


2-8 


28 






8 












28 
28 
28 
28 


0-197 21 


9-926 43 


8 
8 
8 
8 


35 


10 


3-5 


3-3 


3-2 


0-196 93 


9-926 35 


34 


20 


7-0 


6-7 


63 


0.196 65 


9.926 27 


33 


30 


10-5 


10.0 


9-5 


0-196 37 


9.926 19 


32 


40 


14-0 


13-3 


12-7 


0-196 09 


9.926 11 


31 


50 


17-5 


16.7 


15-8 


28 






8 












28 
27 

28 
28 


0.195 81 


9.926 03 


8 
8 
8 

8 


30 





9 


8 


7 


0-195 53 


9-925 95 


29 


1 


0-2 


0-1 


01 


0195 26 


9.925 87 


28 


2 


0-3 


0-3 


0-2 


0-194 98 


9-925 79 


27 


3 


0-4 


0-4 


0-4 


0-194 70 


9.925 71 


26 


4 


0-6 


0-5 


0-5 


28 






8 












28 
28 
28 

27 


0194 42 


9.925 63 


8 
9 
8 

8 


25 


5 


0-8 


0-7 


0-6 


0.194 14 


9-925 SS 


24 


6 


0-9 


0-8 


0-7 


0-193 86 


9-925 46 


23 


7 


1-0 


0-9 


0-8 


0.193 58 


9.925 38 


22 


8 


1-2 


1-1 


0-9 


0.193 31 


9.925 30 


21 


9 


1-4 


1-2 


1-0 


28 






8 












28 
28 
28 

27 


0.193 03 


9.925 22 


8 
8 
8 
8 


20 


10 


1-5 


1-3 


1-2 


0.192 75 


9.925 14 


19 


20 


3 


2-7 


2-3 


0.192 47 


9.925 06 


18 


30 


4-5 


40 


3-5 


0.192 19 


9.924 98 


17 


40 


6-0 


5-3 


4-7 


019192 


9.924 90 


16 


50 


7-5 


6-7 


5-8 


28 






8 












28 
28 
27 
28 


0.191 64 


9.924 82 


9 
8 
8 
8 


IS 










0.191 36 


9.924 73 


14 










0.191 08 


9.924 65 


13 










0.190 81 


9.924 57 


12 




8 


8 


7 


0.190 53 


9.924 49 


11 




29 


2 8 


28 


28 






8 













28 
27 
28 
28 


0.190 25 


9.924 41 


8 
8 
9 
8 


10 


1 
2 


1-8 


1-8 


20 


0.189 97 


9-924 33 


9 


5-4 


5-2 


6-0 


0-189 70 


9.924 25 


8 


3 
4 
5 
6 
7 
8 


9-1 


8-8 


10-0 


0.189 42 


9-924 16 


7 


12-7 


12-2 


14-0 


0.189 14 


9-924 08 


6 


16.3 


15-8 


18-0 


27 






8 




19-9 


19.2 


22-0 


28 


0-188 87 


9-924 00 


8 
8 
8 
9 


5 


23.6 


22-8 


26-0 


0-188 59 


9-923 92 


4 


27-2 


26.2 




28 
27 


0188 31 


9-923 84 


3 








0188 04 


9-923 76 


2 










28 


0-187 76 


9-923 67 


1 










28 


0.187 48 


9-923 59 


8 
d. 













:.d 


L. Tan. 


L. Sin. 


P.P. 



122 (302 ) 



(237 ) 57 



77 



(Continued) 



SP: 8 - 1970 



33° (213 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(326") 146° 



— Contd 



f 


L. Sin. 





9.736 11 


1 


9.736 30 


2 


9-736 SO 


3 


9-736 69 


4 


9.736 89 


5 


9-737 08 


6 


9-737 27 


7 


9.737 47 


8 


9.737 66 


9 


9-737 85 


10 


9.738 05 


11 


9.738 24 


12 


9-738 43 


13 


9.738 63 


14 


9.738 82 


15 


9.739 01 


16 


9.739 21 


17 


9.739 40 


18 


9-739 59 


19 


9-739 78 


20 


9.739 97 


21 


9.740 17 


22 


9.740 36 


23 


9.740 55 


24 


9.740 74 


25 


9.740 93 


26 


9.741 13 


27 


9.741 32 


28 


9.741 51 


29 


9.741 70 


30 


9.741 89 


31 


9.742 08 


32 


9.742 27 


33 


9.742 46 


34 


9.742 65 


35 


9.742 84 


36 


9.743 03 


37 


9.743 22 


38 


9.743 41 


39 


9.743 60 


40 


9.743 79 


41 


9.743 98 


42 


9.744 17 


43 


9.744 36 


44 


9.744 55 


45 


9.744 74 


46 


9.744 93 


47 


9.745 12 


48 


9.745 31 


49 


9.745 49 


50 


9.745 58 


51 


9.745 87 


52 


9.746 06 


53 


9.746 25 


54 


9.746 44 


55 


9.746 62 


56 


9.746 81 


57 


9.747 00 


58 


9.747 19 


59 


9-747 37 


60 


9,747 56 


/ 


L. COS. 



J. 


L. Tan. 


.d. 


L. Cot. 


L. COS. 


J. 


r 


P.P. 


19 
10 
19 
20 


9.812 52 


27 
28 
28 
27 


0.187 48 


9.923 59 


8 
8 
8 
9 


60 


' 


- 


28 


27 


9.812 79 


0.187 21 


9.923 51 


59 




1 


0-5 


0-4 


9.813 07 


0.186 93 


9.923 43 


58 




2 


0-9 


0-9 


9.813 35 


0-186 65 


9.923 35 


57 




3 


1.4 


1-4 


9.813 62 


0-186 38 


9.923 26 


56 




4 


1.9 


1-8 


19 




28 






8 












19 
20 
19 
19 


9.813 90 


28 
27 
28 
27 


0-18610 


9.923 18 


8 
8 
9 

8 


55 




5 


2-3 


2-2 


9-814 18 


0-185 82 


9.923 10 


54 




6 


2-8 


2-7 


9.814 45 


0.185 55 


9.923 02 


53 




7 


3-3 


3.2 


9.814 73 


0.185 27 


9-922 93 


52 




8 


3-7 


3.6 


9-815 00 


0.185 00 


9.922 85 


51 




9 


4.2 


4-0 


20 




28 






8 












19 
19 

20 

19 


9.815 28 


28 
27 
28 
27 


0.184 72 


9.922 77 


8 
9 
8 
8 


50 




10 


4.7 


4.5 


9.815 56 


0-184 44 


9.922 69 


49 




20 


9-3 


9-0 


9.815 83 


0-18417 


9.922 60 


48 




30 


14-0 


13-5 


9.816 11 


0.183 89 


9.922 52 


♦7 




40 


18.7 


18-0 


9.816 38 


0.183 62 


9-922 44 


46 




50 


23.3 


22.5 


19 




28 






9 












20 
19 
19 
19 


9.816 66 


27 
28 
27 
28 


0-183 34 


9.922 35 


8 
8 
8 
9 


45 


" 


20 


19 


18 


9-816 93 


0.183 07 


9.922 27 


44 


1 


0-3 


0-3 


0-3 


9.817 21 


0.182 79 


9.922 19 


43 


2 


0-7 


0-6 


0-6 


9.817 48 


0.182 52 


9.922 11 


42 


3 


1-0 


1-0 


0-9 


9.817 76 


0.182 24 


9.922 02 


41 


4 


1-3 


1-3 


1-2 


19 




27 






8 












20 
19 
19 
19 


9-818 03 


28 
27 
28 
27 


0-18197 


9.921 94 


8 
9 
8 
8 


40 


5 


1-7 


1-6 


1-5 


9.818 31 


0-18169 


9.921 86 


39 


6 


2-0 


1-9 


1-8 


9.818 58 


018142 


9.921 77 


38 


7 


2-3 


2-2 


2-1 


9.818 86 


0-181 14 


9.921 69 


37 


8 


2.7 


2-5 


2-4 


9.819 13 


0.180 87 


9.921 61 


36 


9 


3-0 


2-8 


2.7 


19 




28 






9 












20 

19 
19 
19 


9.819 41 


27 
28 
27 
28 


0180 59 


9.921 52 


8 
8 

9 

8 


35 


10 


3-3 


3-2 


30 


9.819 68 


0-180 32 


9.921 44 


34 


20 


6-7 


6-3 


6-0 


9.819 96 


0-180 04 


9.921 36 


33 


30 


10-0 


9-5 


90 


9.820 23 


0-179 77 


9.921 27 


32 


40 


13-3 


12-7 


12.0 


9-820 51 


0-179 49 


9-921 19 


31 


50 


16.7 


15.8 


15.0 


19 




27 






8 












19 
19 
19 
19 


9-820 78 


28 
27 
28 
27 


0-179 22 


9.921 11 


9 

8 
8 
9 


30 


u 


9 


8 




9.821 06 


0-178 94 


9.921 02 


29 


1 


0-2 0-1 




9.821 33 


0.178 67 


9.920 94 


28 


2 


0-3 0-3 




9-82161 


0-178 39 


9-920 86 


27 


3 


0-4 0-4 




9.821 88 


0-17812 


9.920 77 


26 


4 


0-6 0-5 




19 




27 






8 












19 
19 
19 
19 


9.822 15 


28 
27 
28 
27 


0-177 85 


9.920 69 


9 
8 
8 
9 


25 


5 


0-8 0-7 




9.822 43 


0.177 57 


9-920 60 


24 


6 


0-9 0-8 




9.822 70 


0-177 30 


9.920 52 


23 


7 


1-0 0-9 




9.822 98 


0.177 02 


9.920 44 


22 


8 


1-2 1-1 




9.823 25 


0.176 75 


9-920 35 


21 


9 


1-4 1-2 




19 




27 






8 












19 
19 

19 
19 


9.823 52 


28 
27 
28 
27 


0.176 48 


9.920 27 


9 
8 
8 

9 


20 


10 


1-5 1.3 




9.823 80 


0.176 20 


9.920 18 


19 


20 


3-0 2-7 




9-824 07 


0-175 93 


9-920 10 


18 


30 


4-5 4-0 




9.824 35 


0.175 65 


9.920 02 


17 


40 


6-0 5-3 




9.824 62 


0-175 38 


9.919 93 


16 


50 


7-5 6-7 




19 




27 






8 












19 
19 
19 
18 


9.824 89 


28 
27 
27 
28 


0-17511 


9.919 85 


9 
8 
9 

8 


15 










9.825 17 


0.174 83 


9.919 76 


14 










9.825 44 


0.174 56 


9.919 68 


13 




9 


9 


8 


9.825 71 


0.174 29 


9.919 59 


12 




28 


27 


27 


9.825 99 


0.174 01 


9.919 51 


11 










19 




27 






9 













19 
19 
19 


9.826 26 


27 
28 
27 
27 

27 


0-173 54 


9.919 42 


8 
9 
8 
9 

8 


10 


1 


1.6 


1-5 


1-7 


9.826 53 


0-173 47 


9.919 34 


9 


2 


4-7 


4-5 


5-1 


9.826 81 


0.173 19 


9.919 25 


8 


3 


7-8 


7-5 


8.4 


9.827 08 


0-172 92 


9.919 17 


7 


4 


10-9 


10-5 


11.8 


19 
18 


9.827 35 


0.172 65 


9.919 08 


6 


5 
6 


14-0 
17.1 


13.5 
16.5 


15.2 
18.6 




9.827 62 


28 
27 
27 
27 


0.172 38 


9.919 00 


9 
8 
9 
8 


5 


7 
g 


20-2 


19.5 


21.9 


19 
19 
19 
18 


9.827 90 


0.172 10 


9.918 91 


4 


23.3 


22.5 


25.3 


9.828 17 


0.171 83 


9.918 83 


3 


9 


26.4 


25.5 


— 


9.828 44 


0.171 56 


9.918 74 


2 










9.828 71 


0-17129 


9.918 66 


1 










19 


9.828 99 


28 


0-17101 


9.918 57 


9 




/ 










a. 


L. cot. 


c.d 


L. Tan. 


L. Sin. 


d. 


P.P. 



123"* (303 ) 



(236°) 56° 



78 



[pontinueS^ 



SP : 8 - 1970 





TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 


— Contd 






34 


(214) 












(325 ) 145 


> 








' 


L. Sin. 


d. 


L. Tan 


:.d 


L. Cot. 


L. Cos. 


d. 

8 
9 
8 
9 


r 


p.p. 





9.747 56 


19 
19 
18 
19 


9.828 99 


27 
27 
27 
28 


0.171 01 


9.918 57 


60 


" 


28 


27 


26 


1 


9.747 75 


9.829 26 


0.170 74 


9.918 49 


59 


1 


0-5 


0-4 


0-4 


2 


9.747 94 


9.829 53 


0.170 47 


9.918 40 


58 


2 


0-9 


0-9 


0-9 


3 


9-748 12 


9.829 80 


0.170 20 


9.918 32 


57 


3 


1-4 


1.4 


1-3 


4 


9.748 31 


9.830 08 


0-169 92 


>918 23 


56 


4 


1-9 


1-8 


1-7 






19 




27 






8 












5 


9.748 SO 


18 
19 
19 
18 


9-83035 


27 
27 
28 
27 


0.169 65 


9.918 15 


9 

8 
9 
8 


55 


5 


2-3 


2-2 


2-2 


6 


9-748 68 


9.830 62 


0.169 38 


9-918 06 


54 


6 


2-8 


2-7 


2-6 


7 


9-748 87 


9.830 89 


0-16911 


9.917 98 


53 


7 


3-3 


3-2 


3-0 


8 


9.749 06 


9.831 17 


0.168 83 


9.917 89 


52 


8 


3-7 


3-6 


3-5 


9 


9.749 24 


9.831 44 


0.168 56 


9.917 81 


51 


9 


4-2 


4-0 


3-9 






19 




27 






9 












10 


9.749 43 


18 
19 
19 
18 


9.831 71 




0-168 29 


9.917 72 


9 
8 
9 
8 


50 


10 


4-7 


4-5 


4.3 


11 


9.749 61 


9.831 98 


27 


0-168 02 


9.917 63 


49 


20 


9-3 


9-0 


8-7 


12 


9.749 80 


9.832 25 


27 


0.167 75 


9.917 55 


48 


30 


140 


13-5 


13-0 


13 


9.749 99 


9.832 52 


27 


0.167 48 


9.917 46 


47 


40 


18.7 


18-0 


17-3 


14 


9.750 17 


9-832 80 


28 


0.167 20 


9.917 38 


46 


50 


23.3 


22-5 


21.7 






19 




27 






9 












15 


9-750 36 


18 
19 
18 
19 


9.833 07 


27 


0-166 93 


9.917 29 


9 
8 
9 
8 


45 


M 


19 


18 




16 


9-750 54 


9.833 34 


27 


0-166 66 


9.917 20 


44 


1 


0-3 


0-3 




17 


9-750 73 


9.833 61 


27 


0.166 39 


9.917 12 


43 


2 


0-6 


0-6 




18 


9.750 91 


9.833 88 


27 


0.166 12 


9.917 03 


42 


3 


1-0 


0-9 




19 


9.751 10 


9.834 15 




0-165 83 


9.916 95 


41 


4 


1-3 


12 








18 




27 






9 












20 


9.751 28 


19 
18 
19 
18 


9.834 42 


28 


0.165 58 


9.916 86 


9 
8 
9 
9 


40 


5 


1-6 


1-5 




21 


9.751 47 


9.834 70 


27 


0-165 30 


9.916 77 


39 


6 


1-9 


1-8 




22 


9.751 65 


9.834 97 


27 


0-165 03 


9.916 69 


38 


7 


2-2 


2-1 




23 


9.751 84 


9.835 24 


27 


0-164 76 


9.916 60 


37 


8 


2-5 


2-4 




24 


9-752 02 


9.835 51 




0.164 49 


9.916 51 


36 


9 


2-8 


2-7 








19 




27 






8 












25 


9.752 21 


18 
19 
18 
18 


9.835 78 


27 
27 
27 
27 


0.164 22 


9.916 43 


9 
9 
8 
9 


35 


10 


3.2 


3-0 




26 


9.752 39 


9.836 OS 


0.163 95 


9.916 34 


34 


20 


6.3 


6-0 




27 


9-752 58 


9.836 32 


0.163 68 


9.916 25 


33 


30 


9-5 


9-0 




28 


9-752 76 


9.836 59 


0-163 41 


9.916 17 


32 


40 


12-7 


12-0 




29 


9-752 94 


9.836 86 


0-163 14 


9.916 08 


31 


50 


15-8 


15-0 








19 




27 






5 












30 


9.753 13 


18 
19 
18 
18 


9.837 13 


27 
28 
27 
27 


0.162 87 


9-915 99 


8 
9 
9 
8 


30 


^ 


9 


8 




31 


9-753 31 


9.837 40 


0-162 60 


9-915 91 


29 


1 


0-2 


0-1 




32 


9-753 so 


9.837 68 


0-162 32 


9.915 82 


28 


2 


0-3 


0-3 




33 


9-753 68 


9.837 95 


0162 OS 


9-915 73 


27 


3 


0-4 


0-4 




34 


9.753 86 


9-838 22 


0.161 78 


9-915 65 


26 


4 


0.6 


0-5 








19 




27 






9 












35 


9-754 05 


18 
18 
18 
19 


9.838 49 


27 
27 
27 
27 


0.16151 


9-915 56 


9 
9 
8 
9 


25 


5 


0-8 


0-7 




36 


9.754 23 


9.838 76 


0.161 24 


9-915 47 


24 


6 


0-9 


0-8 




37 


9-754 41 


9.839 03 


0.160 97 


9-915 38 


23 


7 


10 


0-9 




38 


9-754 59 


9-839 30 


0.160 70 


9-915 30 


22 


8 


1-2 


1-1 




39 


9-754 78 


9.839 57 


0-160 43 


9-91521 


21 


9 


1.4 


1-2 








18 




27 






9 












40 


9i754 96 


18 
19 
18 
18 


9.839 84 


27 
27 
27 
27 


0.160 16 


9-915 12 


8 
9 
9 
9 


20 


10 


1-5 


1-3 




41 


9-755 14 


9.840 11 


0.159 89 


9-915 04 


19 


20 


3-0 


2-7 




42 


9-755 33 


9.840 38 


0-159 62 


9.914 9s 


18 


30 


4-5 


4-0 




43 


9-755 51 


9-840 65 


0-159 3s 


9.914 86 


17 


^0 


60 


5-3 




44 


9-755 69 


9-840 92 


0.159 08 


9.914 77 


16 


50 


7-5 


6.7 








18 




27 






8 












45 


9-755 87 


18 
19 
18 
18 


9.841 19 


27 
27 
27 
27 


0.158 81 


9.914 69 


9 
9 
9 
9 


15 










46 


9-756 OS 


9.841 46 


0.158 54 


9.914 60 


14 










47 


9.756 24 


9.841 73 


0.158 27 


9.914 51 


13 




9 


8 


a 


48 


9.756 42 


9.842 00 


0-158 00 


9.914 42 


12 




■28 


2 8 


27 


49 


9-756 60 


9.842 27 


0-157 73 


9.914 33 


11 














18 




27 






8 












50 


9-756 78 


18 
18 
19 
18 


9.842 54 


26 
27 
27 
27 


0-157 46 


9.914 2s 


9 
9 
9 
9 


10 




1 
2 
3 
4 
5 
6 
7 
8 


1-6 


1-8 


1-7 


51 


9.756 96 


9.842 80 


0-157 20 


9.914 16 


9 


4-7 


5-2 


5-1 


52 


9-757 14 


9.843 07 


0-156 93 


9.914 07 


8 


7-8 


8-8 


8-4 


53 


9.757 33 


9.843 34 


0.156 66 


9.913 98 


7 


10-9 


12-2 


11.8 


54 


9-757 51 


9.843 61 


0-156 39 


9.913 89 


6 


14-0 


15-8 


15-2 






18 




27 






8 




17.1 


19.2 


18.6 


55 


9-757 69 


18 
18 
18 
18 


9.843 88 


27 
27 
27 
27 


0.156 12 


9.913 81 


9 
9 

9 
9 


5 


20.2 


22.8 


21.9 


56 


9-757 87 


9.844 15 


0-155 as 


9.913 72 


4 


23.3 


26-2 


25-3 


57 


9.758 OS 


9.844 42 


0-155 58 


9.913 63 


3 


26.4 






58 


9-756 23 


9.844 69 


0-155 31 


9.913 54 


2 


9 








59 


9-758 41 


9.844 96 


0-155 04 


9-913 4s 


1 














18 




27 






9 












60 


9.758 59 


d. 


9.845 23 




0154 77 


9.913 36 


d. 




r 










/ 


L. Cos. 


L. cot. 


:.d 


L. Tan. 


L. Sin. 


P.P. 


124 


° (304°) 












(235°) 55° 



79 



{Coniinued) 



SP:8-1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 

(324 ) 144 



35° (215 ) 





1 

2 
3 
4 

5 
6 
7 
8 
9 

10 

11 
12 
13 
14 

15 
16 
17 
18 
19 

20 

21 
22 
23 
24 

2S 
26 
27 
28 
29 

30 

31 
32 
33 
34 

35 
36 
37 
38 
39 

40 

41 
42 
43 
44 

45 
46 
47 
48 
49 

50 

51 
52 
53 
54 

55 
56 
57 
58 
59 

60 



L. Sin. 



9.758 59 

9.75g jj 

9-758 95 

9.759 13 
9.759 31 

9.759 49 

9.759 67 
9-759 85 
9-76003 

9.760 21 

9-760 39 

9.760 57 
9-760 75 
9-760 93 
9-761 11 

9-761 29 

9.761 46 
9.761 64 

9.761 82 

9.762 00 

9.762 18 
9.762 36 
9.762 53 
9.762 71 

9.762 89 

9-763 07 

9.763 24 
7.763 42 
9.763 60 
9.763 78 

9.763 95 

9.764 13 
9.764 31 

9.764 48 
9-764 66 

9-764 84 
9-765 01 
9-765 19 
9-765 37 
9-765 54 

9.765 72 

9.765 90 
9-766 07 
9-766 25 

9.766 42 

9.766 60 
9.766 77 

9.766 95 

9.767 12 
9.767 30 

9.767 47 

9.767 65 
9-767 82 

9.768 00 
9.768 17 

9.768 35 
9-768 52 
9-768 70 
9-768 87 

9.769 04 

9.769 22 



18 
18 
18 
18 

18 

18 
18 
18 
18 

18 

18 
18 
18 
18 

18 

17 
18 
18 
18 

18 

18 
17 
18 
18 

18 

17 
18 
18 
18 

17 

18 
18 
17 
18 

18 

17 
18 
18 
17 

18 

18 
17 
18 
17 

18 

17 
18 
17 
18 

17 

18 
17 
18 
17 

18 

17 
18 
17 
17 

18 



L. Tan. 



9.845 23 
9-845 50 

9.845 76 

9.846 03 
9.846 30 

9.846 57 

9.846 84 

9.847 11 
9.847 38 
9.847 64 

9.847 91 

9.848 18 
9-848 45 

9.848 72 

9.848 99 

9.849 25 
9.849 52 

9.849 79 
9-850 06 

9.850 33 

9.850 59 
9-850 86 

9.851 13 
9-851 40 

9.851 66 

9.851 93 

9.852 20 
9.852 47 

9.852 73 
9853 00 

9.853 27 
9.853 54 

9.853 80 

9.854 07 
9.854 34 

9.854 60 

9.854 87 
9-85514 
9-855 40 

9.855 67 

9.855 94 

9.856 20 
9.856 47 

9.856 74 

9.857 00 

9.857 27 

9.857 54 
9-857 80 

9.858 07 
9.858 34 

9.858 60 

9.858 87 

9.859 13 
9.859 40 
9.859 67 

9.859 93 
9-860 20 

9.860 46 
9.860 73 

9-861 00 

9-861 26 



d. 



L. Cot. 



,d. 



27 
26 
27 
27 

27 

27 
27 
27 
26 

27 

27 
27 
27 
27 

26 

27 
27 
27 
27 

26 

27 
27 
27 
26 

27 

27 
27 
26 
27 

27 

27 
26 
27 
27 

26 

27 
27 
26 
27 

27 

26 
27 
27 
26 

27 

27 
26 
27 
27 

26 

27 
26 
27 
27 

26 

27 
26 
27 
27 

26 



L. cot. 



0-154 77 

0-154 50 
0.154 24 
0.153 97 
0.153 70 

0.153 43 
0.153 16 
0.152 89 
0-15262 
0-15236 

0.152 09 
0.151 82 
0-15155 
0-15128 
0-15101 

0.150 75 
0-150 48 

0.150 21 
0.149 94 
0.149 67 

0.149 41 
0.149 14 
0-148 87 
0-148 60 
0-148 34 

0-148 07 
0-147 80 
0-147 53 

0.147 27 
147 00 

0-146 73 

0.146 46 
0-146 20 

0.145 93 
0.145 66 

0-145 40 

0.145 13 
0.144 86 
0-144 60 
0.144 33 

0.144 06 
0.143 80 
0.143 53 
0143 26 
0-143 00 

0.142 73 
0.142 46 
0-142 20 
0.141 93 
0-141 66 

0.141 40 
0.141 13 
0-140 87 
0-140 60 

0.140 33 

0.140 07 
0.139 80 
0.139 54 
0.139 27 
0.139 00 

0.138 74 



L. Tan. 



9-913 36 
9.913 28 
9-913 19 
9,913 10 
9-913 01 

9-912 92 
9-912 83 
9-91274 
9-91266 
9-912 57 

9-912 48 
9-912 39 

9.912 30 
9.912 21 
9.912 12 

9.912 03 
9.911 94 
9.911 85 
9.911 76 
9-91167 

9.911 58 
9.911 49 
9.911 41 
9.911 32 
9-91123 

9-911 14 
9-91105 

9.910 96 
9.910 87 
9.910 78 

9.910 69 
9-910 60 
9-910 51 
9-910 42 

9.910 33 

9-910 23 

9.910 14 
9.910 05 
9.909 96 
9-909 87 

9-909 78 
9-909 69 
9.909 .60 
9.909 51 
9.909 42 

9-909 33 

9.909 24 
9.909 15 
9.909 06 
9.908 96 

9.908 87 
9.908 78 
9.908 69 
9.908 60 
9-908 51 

9.908 42 
9.908 32 
9-908 23 
9.908 14 
9.908 05 

9.907 96 



L. Sin. 



9 
9 
9 
9 

10 



60 
59 
58 
57 

56 

55 
54 
53 
52 
51 

50 

49 
48 
47 
46 

45 
44 
43 
42 
41 

40 

39 
38 
37 
36 

35 
34 
33 
32 
31 

30 

29 
28 
27 
26 

25 



9 


24 


9 


23 


9 


72 


9 


21 


•9 






'^0 


9 


1<» 


9 


18 


9 


17 


9 


16 


9 






15 


9 


14 


9 


l.S 


y 


12 


10 


11 


9 






10 


9 


Q 


9 


8 


9 


7 


9 


6 


9 






5 


lU 


4 


9 


■\ 


9 


? 


9 


1 



P.P. 



1 

2 
3 

4 
5 
6 
7 
8 

9 
10 
20 
30 
40 
50 



1 

2 
3 
4 

5 
6 

7 
8 
9 

10 
20 
30 

40 
50 



27 
0-4 
0-9 
1-4 

1-8 
2-2 
2-7 
3-2 
3-6 

40 

4-5 

90 

13-5 

18.0 
22.5 

17 
0-3 
0-6 
0-8 
1-1 

1-4 
1-7 
2-0 
2-3 

2.6 

2.8 

5-7 

8-5 

11-3 

14.2 




1 
2 
3 
4 
5 
6 
7 
8 
9 
10 



26 

0-4 
0-9 
1-3 

1-7 
2-2 
2-6 
3-0 
3-5 

3-9 

4.3 

8-7 
13-0 

17.3 

21.7 



10 

0-2 
0-3 
0-5 
0-7 

0-8 
1-0 
1-2 
1-3 

1-5 

1-7 
3-3 
5-0 
6-7 

8.3 



9 

0-2 
0-3 
0-4 
0-6 

0-8 
0-9 
10 
1-2 
1-4 

1-5 
SO 
4-5 
5-0 

7-5 



18 
0-3 
0-6 
0-9 

1-2 
1-5 
1-8 
2-1 
2-4 

2-7 
3-0 
6-0 
9-0 

12.0 
15.0 

8 

01 
0-3 
0-4 
0-5 

0-7 
0-8 
0-9 
1-1 
1-2 

1-3 
2-7 
4-0 
5-3 
6-7 



10 


10 


27 


26 


1-4 


1-3 


4-1 


3-9 


6-8 


6-5 


9-4 


91 


12.2 


11-7 


14.8 


14.3 


17.6 


16.9 


20.2 


19.5 


22.9 


22 1 


25.6 


24.7 


9 


9 


27 


26 


1-5 


1-4 


4-5 


4-3 


7.5 


7.2 


10-5 


10-1 


13-5 


13.0 


16.5 


15.9 


19-5 


18.8 


22.5 


21.7 


25.5 


24.6 



p.p. 



125° (305 ) 



(234 ) 54 



(Continuti) 



SP : 8 - 1970 



36 (216 ) 



TABLE 6 LOGARITHMS OP TRIGONOMETRIC FUNCTIONS 

(323 ) 143 



- Cvvlii 



' 


L. Sin. 


(d. 

17 
18 
17 

17 


L. Tan. 


.3.d 

27 
26 
27 
26 


L- Cot. 


L. COS. 


'd. 





9.769 22 


9.861 26 


0-138 74 


1- 

9-907 Y6 


1 


1 


9769 39 


9-86153 


0-138 47 


9-907 87 




2 


9-769 57 


9-861 79 


0-13821 


9-907 77 


3 


9-769 74 


9.862 06 


0-137 94 


9-907 68 




4 


9.769 91 


9.862 32 


0-137 68 


9.907 59 


- 






18 




27 






c 


S 


9-770 09 


17 
17 
18 
17 

17 

17 
18 
17 
17 


9.862 59 


26 
27 
26 

27 

0" 


0-137 41 


9-907 50 




6 


9.770 26 


9.862 85 


0-13715 


9-907 41 


- 


7 


9.770 43 


9-863 12 


0-136 88 


9-907 31 


1( 


8 


9-770 61 


9-863 38 


0-136 62 


9-907 22 


- 


9 


9.770 78 


9-863 65 


0-136 35 


9-907 13 


c 


10 


9.770 95 


9-863 92 


26 

27 

26 

27 


0-136 08 


9-907 04 


c 


n 


9.771 12 


9-864 18 


0.135 82 


9-906 94 


IC 


12 


9.771 30 


9-864 4s 


0,135 55 


9-906 85 


( 


13 


9.771 47 


9 864 71 


0-135 29 


9-906 76 


' 


14 


9.771 64 


9.864 98 


0-135 02 


9-'.KK) 67 


'' 






17 




26 






1( 


15 


9-771 81 


18 
17 

17 
17 


9-865 24 


27 
26 
26 

27 


0-134 76 


9-906 57 




16 


9.771 99 


9-865 51 


0.134 49 


9-909 48 


t 


17 


9.772 16 


9.865 77 


0-134 23 


9-906 39 


t 


IS 


9.772 33 


9-866 03 


0-133 97 


9-906 30 


< 


19 


9-772 SO 


9.866 30 


0-133 70 


9-906 20 


'< 






18 




26 






i 


20 


9-772 68 


1 7 


9-866 56 


27 
26 
27 
26 


0-133 44 


9-906 il 




21 


9-772 85 


J / 

17 
17 

17 


9-866 83 


0-133 17 


9-906 02 


c 


22 


9.773 02 


9.867 09 


0,132 91 


9-90.iY2 


If. 


23 


9-773 19 


9.867 36 


0.132 64 


9-905 83 


t; 


24 


9.773 36 


9-867 62 


0132 38 


9-905 74 


c 






17 




27 






<: 


25 


9.773 53 


1 7 


9-867 89 


26 
27 
26 
26 


0-13211 


9-905 65 




26 


9.773 70 


I / 

17 

18 
17 


9-868 15 


0.131 85 


9-90555 


IC 


27 


9.773 87 


9-868 42 


0.131 58 


9-905 46 


I 


28 


9.774, OS 


9-868 68 


0.131 32 


9-905 37 


9 


29 


9.774 22 


9-868 94 


0-13106 


9-905 27 


10 






17 




27 






9 


30 


9.774 39 


17 
17 
17 
17 


9.869 21 


26 

27 
26 
27 


0.130 79 


9.905 18 




31 


9.774 56 


9-869 47 


0-130 53 


9-905 09 


9 


32 


9.774 73 


9.869 74 


0-130 26 


9-904 99 


10 


33 


9.774 90 


9-870 00 


0-130 00 


9.904 90 


9 


34 


9.775 07 


9.870 27 


0.129 73 


9-904 80 


10 






17 




26 






9 


35 


9.775 24 


17 

1 T 


9-870 53 


26 
27 


01 29 47 


9-904 71 




36 


9.775 41 


9.870 79 


0.129 21 


9-904 62 


9 


37 


9.775 5s 


I / 

17 

1 7 


9.871 06 


0-128 94 


9-904 52 


10 


38 


9-775 75 


9-871 32 


26 


0.128 68 


9-904 43 


9 


39 


9.775 92 


1 / 

17 


9.871 58 


26 

27 


0-128 42 


9-904 34 


9 
10 


40 


9.776 09 


17 
17 
17 
17 


9-871 85 




0-12815 


9-90-1 24 




41 


9.776 26 


9-872 11 


26 

27 


0-127 89 


9-904 15 


9 


42 


9.756 43 


9-872 38 


0.127 62 


9-904 05 


10 


43 


9-776 60 


9.872 64 


26 


0-127 38 


9-903 96 


() 


44 


9.776 77 


9-872 90 


26 


0-127 10 


9-903 86 


10 






17 




27 






9 


45 


9.776 94 


17 
17 
16 

17 


9.873 17 




0.126 83 


9.903 77 




46 


9-777 11 


9-873 43 


26 


0-126 57 


9-903 68 \ 


9 


47 


9.777 28 


9-873 69 


26 


0-126 31 


9-903 58 1 


10 


48 


9-777 44 


9.873 96 


27 


0-126 04 


9.904 49 i 


9 


49 


9.777 61 


9-874 22 


26 


0-125 78 


9-903 39 j 


10 






17 




26 






9 


50 


9.777 78 


17 
17 
17 
17 


9.874 48 




0-125 52 


9-903 30 j 


51 


9-777 95 


9-874 75 


27 


0-125 25 


9-903 20 1 


10 


52 


9-778 12 


9.875 01 


26 


0.124 9Y 


9-903 ! 1 


9 


53 


9.778 29 


9-875 27 


26 


0-124 73 


9-903 01 


10 


54 


9.778 46 


9-875 54 


27 


0-124 46 


9-902 92 


9 


55 


9-778 62 


16 

17 
17 
17 
17 


9-875 80 


26 


0.124 20 


9-902 X2 ': 


10 


56 


9-778 79 


9.876 06 


26 


0.123 94 


9-902 73 i 


9 


57 


9.778 96 


9-876 33 


27 


0-123 67 


9-902 63 i 


10 


58 


9.779 13 


9.876 59 


26 


0.123 41 


9-902 54 i 


9 


59 


9.779 30 


9-876 85 


26 


0-123 15 


9-902 44 


10 






16 




26 






9 


60 


9.759 46 


r 


9.87711 




0.122 89 


9.902 35 


' 


L. COS. 


L. Cot. 


c.d. 


L. Tan. 


I.. Sin. 


.1. 



' 




V.V. 




6C 








5*: 


27 


26 




5Ji 


1 0-4 


0-4 




57 


2 0-9 


0-9 




5e 


3 1.4 


1-3 






4 


1-8 


1-7 




55 










54 


5 


2-2 


2-2 




53 


6 


2-7 


2-6 




52 


7 


3.2 


30 




51 


8 


3-6 


3-5 






9 ■ 40 


3-9 




.5C 








44 


10 4-5 


4-3 




4S 


20 9-0 


8-7 




47 


30 13-5 


13-0 




46 


40 18.0 


17-3 






50 22.5 


21-7 




45 








44 


18 


17 


16 


4,1 


1 I 0-3 


0-3 


0-3 


42 


2 ! 0-6 


0-6 


0-5 


41 


3 0-9 


0-8 


0-8 




4 1 1-2 


1-1 


1-1 


4D 








39 


5 1-5 


1-4 


1.3 


38 


6 1-S 


1-7 


1-6 


37 


7 2-1 


2-0 


1.9 


36 


8 ; 2.4 


2.3 


2-J 




9 2-7 


2-6 


2-4 


35 










34 


SO 


3-0 


2-8 


2.7 


33 


20 


6-0 


5-7 


5-3 


32 


30 


9-0 


8-5 


8-w 


31 


40 


12.0 


11.3 


10-7 




50 15-0 


14.2 


13.3 


30 








29 


10 


9 




28 


' 0-2 






27 


2 ■■ 0-3 


0-20-3 




26 


3 1 0-5 


0-4 






4 i 0-7 


0-6 




25 


f 






24 


5 , 0-8 


0-8 




23 


6 ! 1-0 


(J-9 




22 


7 ; 1-2 


1-0 




21 


% \ '■"■i 


m 




20 








19 


10 1-7 


1-5 




18 


>0 3-3 


3-0 




17 


50 50 


4-5 




16 


to 6.7 


6-0 






>0 8-3 


7-5 




15 








14 








13 








12 








11 




9 


9 






27 


26 


10 











i 






8 


1 i 


1-5 


1.4 


7 


3 


4-5 


4-3 


6 


3 


7-5 


7-2 




♦ 


10-5 


10-1 


5 




13-5 


13-0 


4 


6 

7 i 

8 ! 

9 ^! 


16-5 


i5-9 


3 


19-5 


18 8 


2 


22.5 


21-7 


1 


25-5 


24.6 











■ 


p.r. 



126° (306°) 



(233 ) 53° 



81 



{Continifcd) 



SP:8-1970 



37 (217 ) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(322") 142" 



Conid 



' 


L. Sin. 


CI. 


L. Tan. 


c.d 

27 
26 
26 
27 


L. Cot. 


L. Cos. 


d. 

10 
9 

10 
9 


f 


p.p. 





9-779 46 


17 
17 
17 
16 


9.877 11 


0-122 89 


9-902 35 


60 








1 


9-779 63 


9.877 38 


0-122 62 


9.902 25 


59 


" 


27 


26 


2 


9-779 80 


9.877 64 


0-122 36 


9-902 16 


58 


1 


0-4 


0-4 


3 


9-779 97 


9-877 90 


0-122 10 


9.902 06 


57 


2 


0-9 


0-9 


4 


9-78013 


9-878 17 


0-121 83 


9-901 97 


56 


3 


1-4 


1-3 






17 




26 






10 




4 


1-8 


1-7 


5 


9-780 30 


17 
16 
17 
17 


9.878 43 


26 
26 

27 
26 


0.121 57 


9-901 87 


9 
10 

9 
10 


55 








6 


9-780 47 


9.878 69 


0121 31 


9.901 78 


54 


5 


2-2 


2-2 


7 


9-780 63 


9.878 95 


0.121 05 


9-901 68 


53 


6 


2.7 


2-6 


8 


9.780 80 


9.879 22 


0.120 78 


9-901 59 


52 


7 


3.2 


30 


9 


9-7S0 97 


9.879 48 


120 52 


9-901 49 


51 


8 


3-6 


3-5 






16 




26 






10 




9 


4-0 


3-9 


10 


9.781 13 


17 
17 
16 
17 


9-879 74 


26 
27 
26 
26 


0-120 26 


9-901 39 


9 
10 

9 
10 


50 








11 


9.781 30 


9-880 00 


0120 00 


9.901 30 


49 


10 


4-5 


4-3 


12 


9.781 47 


9-880 27 


0119 73 


9-901 20 


48 


20 


90 


8-7 


13 


9-78163 


9-880 53 


0.119 47 


9-901 11 


47 


30 


13-5 


13-0 


14 


9.781 80 


9-880 79 


0-119 21 


9 90101 


46 


40 


18-0 


17-3 






17 




26 






10 




50 


22.5 


21-7 


IS 


9.781 97 


16 
17 
16 
17 


9-881 05 


26 
27 
26 
26 


0118 95 


9.900 91 


9 
10 

9 
10 


45 








16 


9.782 13 


9.881 31 


0118 69 


9.900 82 


44 


/r 


17 


16 


17 


9.782 30 


9.881 58 


0-118 42 


9.900 72 


43 


1 


0-3 


0-3 


18 


9.782 46 


9.881 84 


0-118 16 


9-900 63 


42 


2 


0-6 


0-5 


19 


9.782 63 


9.882 10 


0.117 90 


9.900 53 


41 


3 


0-8 


0-8 






17 




26 






10 




4 


1-1 


1.1 


20 


9.782 80 




9.882 36 


26 
27 
26 
26 


0117 64 


9-900 43 




40 








21 


9-782 96 


16 
17 
16 
17 


9-§82 62 


0-117 38 


9-900 34 


9 

10 


39 


5 


1-4 


1-3 


22 


9.783 13 


9.882 89 


0-11711 


9.900 24 


38 


6 


1-7 


1-6 


23 


9.783 29 


9.883 15 


0116 85 


9-900 14 


10 
9 


37 


7 


2-0 


1.9 


24 


9.783 46 


9.883 41 


0116 59 


9-900 05 


36 


8 


2-3 


21 






16 




26 






10 




9 


2-6 


2-4 


25 


9.783 62 




9.883 67 


26 
27 
26 
26 


0116 33 


9.899 95 




35 








26 


9-783 79 


17 


9,883 93 


0-116 07 


9.899 85 


10 


34 


10 


2.8 


2-7 


27 


9.783 95 


16 


9.884 20 


0.115 80 


9.899 76 


9 


33 


20 


5.7 


5-3 


28 


9.784 12 


17 


9.884 46 


0-115 54 


9.899 66 


10 


32 


30 


8.5 


80 


29 


9.784 28 


16 


9.884 72 


0-115 28 


9.899 56 


10 


31 


40 


11-3 


10.7 






17 




26 






9 




50 


14.2 


13.3 


30 


9.784 45 




9.884 98 


26 
26 
27 
26 


0-115 02 


9.899 47 




30 








31 


9.784 61 


16 


9.885 24 


0114 76 


9.899 37 


10 


29 


* 


10 


9 


32 


9.784 78 


17 


9.885 50 


0114 50 


9.899 27 


10 


2s 


1 


0-2 


0-2 


33 


9-784 94 


16 


9-885 77 


0114 23 


9.899 18 


9 


27 


2 


0-3 


0-3 


34 


9-785 10 


16 


9.886 03 


0113 97 


9.899 08 


10 


26 


3 


0-5 


0-4 






17 




26 






10 




4 


0-7 


0-6 


35 


9.785 27 




9.886 29 




0.113 71 


9.898 98 




25 








36 


9-785 43 


16 


9.886 55 


26 
26 


0113 45 


9.898 88 


10 


24 


5 


0-8 


0-8 


37 


9.785 60 


17 


9.886 81 


113 19 


9.898 79 


9 


23 


6 


1-0 


0-9 


38 


9-785 76 


16 


9-887 07 


26 
26 


0112 93 


9.898 69 


10 


22 


7 


1-2 


1-0 


39 


9.785 92 


16 


9.887 33 


0112 67 


9.898 59 


10 


21 


8 


1-3 


1-2 






17 




26 






10 




9 


1-5 


1-4 


40 


9.786 09 




9.887 59 


27 


0.11241 


9.898 49 




20 








41 


9.786 25 


16 


9.987 86 


0-112 14 


9.898 40 


9 


19 


10 


1.7 


1-5 


42 


9-786 42 


17 


9-888 12 


26 


011188 


9.898 30 


10 


18 


20 


3.3 


3-0 


43 


9-786 58 


16 


9.888 38 


26 


0-11162 


9.898 20 


10 


17 


30 


5-0 


4-5 


44 


9.786 74 


16 


9.888 64 


26 


0-11136 


9.898 10 


10 


16 


40 


6-7 


60 






17 




26 






9 




50 


8-3 


7-5 


45 


9.786 91 




9.888 90 




011110 


9.898 01 




15 








46 


9.787 07 


16 


9.889 16 


26 


0.11084 


9.897 91 


10 


14 








47 


9.787 23 


16 


9.889 42 


26 


0.110 58 


9.897 81 


10 


13 








48 


9-787 39 


16 


9.889 68 


26 


0-110 32 


9.897 71 


10 


12 




10 


10 


49 


9,787 56 


17 
16 


9.889 94 


26 
26 


0-110 06 


9.897 61 


10 
9 


11 




27 


26 


50 


9-787 72 




9-890 20 




0.109 80 


9.897 52 




10 









51 


9.787 88 


16 


9-890 46 


26 


0-109 54 


9.897 42 


10 


9 


1 


1-4 


1-3 


52 


9.788 05 


17 


9 890 73 


27 


0.109 27 


9-89,7 32 


10 


8 


2 


4-1 


3-9 


53 


9.788 21 


16 


9-890 99 


26 


0-109 01 


9.897 22 


10 


7 


3 


6.8 


6-5 


54 


9-788 37 


16 


9.891 25 


26 


0-108 75 


9.897 12 


10 


6 


4 


9-4 


91 


55 


9.788 53 


16 


9.891 51 


26 


0-108 49 


9-897 02 


10 


5 


5 
6 


12.2 
14.8 


11-7 
14.3 


56 


9.788 69 


16 


9.891 77 


26 


0.108 23 


9 895 93 


9 


4 


7 


17.6 


16.9 


57 


9.788 86 


17 


9.892 03 


26 


0.107 97 


9.896 83 


10 


3 


8 


20-2 


19.5 


58 


9.789 02 


16 


9.892 29 


26 


0107 71 


9.896 73 


10 


2 


9 


22.9 


22.1 


59 


9.789 18 


16 


9-892-55 


26 


0107 43 


9-896 63 


10 


1 


10 


25.6 


24.7 


60 


9.789 34 


16 


9.892 81 


26 


0.107 19 


9.896 53 


10 
a. 




r 








/ 


L. COS. 


d. 


L. Cot. 


c.d. 


L. Tan. 


L. Sin. 


P.P. 



127° (307°) 



(232") 52" 



82 



ifiontinuei^ 



SP:8- 1970 



38° (218°) 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(321 ) 141° 



■ Contd 



/ 


L. Sin. 


d. 


L. Tan. 


c.d. 


L. Cot. 


L. Cos. 


d 

1( 
K 





9.789 34 


16 


9.892 81 


26 
26 
26 
26 


0.107 19 


9.896 53 


1 


9.789 50 


17 


9.893 07 


0.106 93 


9-896 43 


2 


9.789 67 


16 


9.893 33 


0.106 67 


9.896 33 


3 


9.789 83 


16 


9.893 59 


0106 41 


9.896 24 


1( 


4 


9.789 99 


16 


9.893 85 


0-10615 


9.896 14 








26 






1( 


5 


9.790 15 


16 


9.894 11 


26 
26 
26 
26 


0.105 89 


9.896 04 


K 
1( 

IC 
U 


6 


9.790 31 


16 


9.894 37 


0.105 63 


9-895 94 


7 


9-79047 


16 


9-894 63 


0-105 37 


9.895 84 


8 


9-790 63 


16 


9-894 89 


0-10511 


9-895 74 


9 


9.790 79 


16 


9-895 15 


0-104 85 


9.895 64 








26 






IC 


10 


9-790 95 


16 


9.895 41 


26 
26 
26 
26 


0-104 59 


9.895 54 


IC 

10 
10 

10 


n 


9.791 11 


17 


9-895 67 


0-104 33 


9.895 44 


12 


9.791 28 


16 


9-895 93 


0-104 07 


9.895 34 


13 


9.791 44 


16 


9-896 19 


0.103 81 


9-895 24 


14 


9-791 60 


16 


9-89645 


0103 55 


9-895 14 








26 






10 


15 


9.791 76 


16 


9.896 71 


26 
26 
26 
26 


0.103 29 


9.855 04 


Y 

10 
10 
10 


16 


9.791 92 


16 


9-896 97 


0-103 03 


9.894 95 


17 


9.792 08 


16 


9-897 23 


0-102 77 


9.894 85 


18 


9.792 24 


16 


9.897 49 


0-102 51 


9.894 75 


19 


9.792 40 




9.897 75 


0.102 2.5 


9.894 65 






16 




26 






10 


20 


9.792 56 


16 


9-898 01 


26 
26 
26 
26 


0-101 99 


9.894 55 


l[0 


21 


9.792 72 


16 


8.898 27 


0-101 73 


9-894 45 


22 


9.792 88 


16 


9-898 53 


0101 47 


9.894 35 


10 


23 


9.793 04 


15 


9.898 79 


0-10121 


9.894 25 


10 


24 


9-793 19 




9.899 05 


0-100 95 


9.894 15 


10 






16 




26 






10 


25 


9.793 35 


16 


9899 31 


26 
26 
26 
26 


0-100 69 


9-894 05 




26 


9.793 51 


16 


9-899 57 


0.100 43 


9.893 95 


10 


27 


9.793 67/ 


16 


9-899 83 


0.100 17 


9-893 85 


10 


28 


9-793,83 


16 


9-900 09 


0-099 91 


9.893 75 


10 

11 


29 


9.793 99 




9.900 35 


0-099 65 


9-893 64 






16 




26 






10 


30 


9.794 15 


16 


9-900 61 


25 
26 
26 
26 


0-099 39 


9.893 54 




31 


9.794 31 


16 


9.900 86 


0-099 14 


9-893 44 


10 


32 


9.794 47 


16 


9.901 12 


0-098 88 


9-893 34 


10 


33 


9.794 63 


15 


9-901 38 


0-098 62 


9-893 24 


LO 


34 


9.794 78 




9.901 64 


0-098 36 


9-893 14 


10 






16 




26 






10 


35 


9.794 94 


16 


9-901 90 




0.098 10 


9.893 04 




36 


9.795 10 


16 


9.902 16 


26 
26 
26 
26 


0-097 84 


9.892 94 


10 


37 


9.795 26 


16 


9-902 42 


0-097 58 


9,892 84 


10 


38 


9.795 42 


16 


9-902 68 


0.097 32 


9-892 74 


10 


39 


9.795 58 




9-902 94 


0.097 06 


9-892 64 


10 






L5 




26 






110 


40 


9.795 73 


16 


9-903 20 




0.096 80 


9-892 54 




41 


9.795 89 


16 


9-903 46 


26 


0096 54 


9-892 44 


:lo 


42 


9.796 0.5 


16 


9-903 71 


25 


0096 29 


9-892 33 


11 


43 


9.796 21 


15 


9.903 97 


26 


0.096 03 


9-892 23 


10 


44 


9.796 36 


16 


9.904 23 


26 
26 


0-095 77 


9.892 13 


10 

10 


45 


9.796 52 


16 


9-904 49 




0-095 51 


9.892 03 




46 


9.796 68 


16 


9-904 75 


26 


0-095 25 


9-891 93 


10 


47 


9.796 84 


15 


9-905 01. 


26 


0-094 99 


9.891 83 


10 


48 


9.796 99 


16 


9.905 27 


26 


0-094 73 


9-891 73 


10 


49 


9.797 15 


16 


9-905 53 


26 

25 


0-094 47 


9.891 62 


11 

LO 


50 


9.797 31 


15 
16 
16 


9.905 78 




0-094 22 


9-891 52 




51 


9.797 46 


9-906 04 


26 


0-093 96 


9-891 42 


10 


52 


9.797 62 


9-906 30 


26 
26 


0-093 70 


9.891 32 


10 


53 


9-797 78 


15 


9-906 56 


0.093 44 


9.891 22 


10 


54 


9.797 93 


9-906 82 


26 


0.093 18 


9-891 12 


10 






16 




26 






II 


55 


9.798 09 


16 

15 
16 
16 


9-907 08 




0-092 92 


9-891 01 




56 


9-798 25 


9-907 34 


26 


0-092 66 


9.890 91 


10 


57 


9.798 40 


0-907 59 


IS 


0.092 41 


9.890 81 


no 


58 


9.798 56 


9.907 85 


26 


0.092 15 


9-890 71 


10 


59 


9.798 72 


9.908 11 


26 


0-091 89 


9.890 60 


HI 






15 




26 






10 


60 


9.798 87 




Y-908 37 




0.091 63 


9-890 50 




' 


L. Cos. 


d. 


L. Cot. 


cd. 


L. Tan. 


L. Sin. 


d. 





p.p. 


6( 


26 


25 




5<: 


1 


0-4 


0-4 




5i 


2 


0-9 


0-8 




5: 


3 


1-3 


1-2 




5( 


4 


1-7 


1-7 




5J 


5 


2-2 


21 




54 


6 


2-6 


2-5 




53 


7 


3 


2.9 




52 


8 


3-5 


3-3 




51 


9 


3.9 


3-8 




50 


10 


4-3 


4.2 




49 


20 


8-7 


8-3 




48 


30 


130 


12-5 




47 


40 


17.3 


16.7 




46 


50 


21.7 


20.8 




15 


17 


16 


15 


H 


1 


0-3 


0-3 


0-2 


13 


2 


0-6 


0-5 


0-5 


VI 


3 


0-8 


0-8 


0-8 


n 


4 


1-1 


1-1 


10 


to 


5 


1-4 


1-3 


1-2 


19 


6 


1-7 


1-6 


1-5 


18 


7 


2-0 


1-9 


1-8 


17 


8 


2-3 


2-1 


2-0 


16 


9 


2-6 


2.4 


2.2 


15 


10 


2.8 


2-7 


2-5 


14 


20 


5-7 


5.3 


5-0 


13 


50 


8-5 


8-0 


7-5 


12 


to 


11.3 


10-7 


10-0 


il 


50 1 


14-2 


13.3 


12-5 


to 


11 


10 


9 


19 


1 


0-2 


0-2 


0-2 


!8 


2 


0-4 


0-3 


0-3 


!7 


3 


0-6 


0-5 


0-4 


16 


4 


0-7 


0-7 


0-6 


!5 


5 


0-9 


0-8 


0-8 


!4 


6 


1-1 


1-0 


0-9 


13 


7 


1-3 


1-2 


1-0 


12 


8 


1.5 


1-3 


1.2 


11 


9 


1-6 


1-5 


1-4 


!0 


10 


1-8 


1-7 


1-5 


9 


20 


3-7 


3.3 


3-0 


8 


30 


5-5 


5-0 


4.5 


7 


\0 


7-3 


6.7 


6-0 


6 


50 


9-2 


8.3 


7.5 


5 


10 


10 


9 


.4 


26 


25 


2-i; 


15! 











11 


1 
2 
3 
4 
5 
6 
7 
8 
9 
10 


1-3 


1-2 


1-4 




3-9 


3-8 


4-3 


10 


6-5 


6-2 


7-2 


9 


9-1 


8.8 


10-1 


8 


11-7 


11-2 


13.0 


7 


14.3 


13.8 


15-9 


6 


16-9 


16.2 


18-8 




i9-5 


18-8 


21.7 


S 


2?-l 


21.2 


24.6 


4 


24-7 


23.8 


— 


J 








2 

1 

















r 


P.P. 



128° (308°) 



(231 ) 51 



83 



(Cc«(tn«e<2) 



S?;8. 1970 



59' (219 ) 



TABLE (y LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(320 ) 140' 



-Covid 



' 


L. Sin. 


d. 


L. Tan. 


c.d. 


L. cot. 


I.. Cos. 1 


d. 





9-798 87 


16 
15 
16 
16 


9-908 37 


26 
26 
25 
26 


0-091 63 


9-890 50 


10 
10 
10 

11 


1 


9-799 03 


9-908 63 


0-091 37 


9-890 40 


2 


9-799 18 


9-908 89 


091 11 


9-890 30 


3 


9-799 34 


9-909 14 


0.090 86 


9.890 20 


4 


9.799 50 


9-909 40 


0-090 60 


9-890 09 






15 




26 






10 


5 


9-799 65 


16 

15 
16 
15 


9-909 66 


26 
26 
25 
26 


0-090 34 


9-889 99 


10 

11 

10 
10 


6 


9-799 81 


9-909 92 


0-090 08 


9-889 89 


7 


9-799 96 


9-910 18 


0-089 82 


9-889 78 


S 


9-800 12 


9-910 43 


0089 57 


9-889 68 


9 


9-800 27 


9-910 69 


089 3 1 


9-889 58 






16 




26 






10 


10 


9-800 43 


1 ^ 


9-910 95 


26 
26 
25 
26 


0.089 05 


9.889 48 




11 


9-800 58 


13 

16 
IS 


9-91121 


0-088 79 


9-889 37 


11 
10 
10 


12 


9-800 74 


9-91147 


0-088 53 


9.589 27 


13 


9-800 89 


9-91172 


0-088 28 


9-889 17 


14 


9-801 05 


16 


9-911 98 


0-088 02 


9-889 06 


11 






15 




26 






10 


15 


9-801 20 




9-912 2+ 


26 
26 
25 
26 


0-087 76 


9.888 96 




K- 


9-801 36 


16 


9-912 50 


0087 50 


9-888 86 


10 

11 


1/ 


9-801 51 


15 


9-912 76 


0087 24 


9-888 75 


IH 


9-801 66 


15 


9.913 01 


0-086 99 


9-888 65 


10 


19 


9-801 82 


16 


9.913 27 


0-086 73 


9-888 55 


10 






15 




26 






11 


20 


9-sni 97 




9-913 53 


26 
25 
26 
26 


0-086 47 


9-888 44 




21 


9-802 13 


16 


9.913 79 


0-086 21 


9-888 34 


10 
10 

11 


22 


9-802 28 


15 


9.914 04 


0-085 96 


9.888 24 


23 


9-802 44 


16 


9.914 30 


0-085 70 


9-888 13 


24 


9-802 59 


15 


9.914 56 


0-08S 44 


9.888 03 


10 






15 




26 






10 


25 


9-802 74 




9.914 s2 




0-085 18 


9-887 93 




26 


9-802 90 


16 


9.915 07 


1> 
26 
26 
26 


0-084 93 


9.887 82 


11 


27 


9-803 05 


15 


9-915 33 


0-084 67 


9-887 72 


10 


28 


9.803 20 


15 


9-915 59 


0-084 41 


9-887 61 


11 
10 


29 


9-803 36 


16 


9-915 85 


0-084 15 


9.887 s 1 






15 




25 






10 


30 


9-803 51 




9-91610 


26 
26 


0-083 90 


9-887 41 


13 
10 

11 

10 


31 


9-803 66 


15 


9.916 36 


0-083 64 


9.887 30 


32 


9-803 82 


16 


9-916 62 


0083 38 


9.887 20 


33 


9-803 97 


15 


9-916 88 


26 
25 


0-083 12 


9.887 09 


34 


9-804 12 


15 


9-91713 


0082 87 


9.886 99 






16 




26 






11 


35 


9-804 28 




9-917 39 




0-082 61 


9.886 88 




36 


9-804 43 


15 


9-917 65 


26 


0-082 35 


9-886 78 


10 


37 


9-804 58 


15 


9-917 91 


26 


0082 09 


9-886 68 


10 


38 


9-804 73 


15 


9-918 16 


25 


0-081 84 


9.886 57 


11 
IC 


39 


9-804 89 


16 


9-918 42 


26 


0-081 58 


9-886 47 






15 




26 






11 


40 


9-805 04 




9-918 68 




0-081 32 


9-886 36 




41 


9-805 19 


15 


9.918 93 


25 


0-081 07 


9-886 26 


IC 


42 


9-805 34 


IS 


9.919 19 


26 


080 81 


9.886 15 


11 


43 


9-805 SO 


16 


9-91945 


26 


0-080 55 


9-886 05 


IC 


44 


9-805 65 


15 
15 


9-919 71 


26 

25 


0-080 29 


9-885 94 


11 
IC 


t-' 


9-805 80 




9-919 96 




0-080 04 


9-885 84 


11 


46 


9-805 95 


15 


9-920 22 


26 


0-079 78 


9885 73 


"■;■ 


9-806 10 


15 


9-920 48 


26 


0-079 52 


y-885 63 


IC 


48 


9-806 25 


15 


9-920 73 


25 


0-079 27 


9-885 52 


11 


49 


9-806 41 


If 
15 


9-920 99 


26 
26 


0-079 01 


9-885 42 


K 

11 


50 


9-806 56 




9-921 25 




0-078 75 


9-885 31 




51 


9,806 71 


1: 


9.921 50 


25 


0-078 50 


9.885 21 


u 


52 


9-806 86 


i; 


9.921 76 


26 


0-078 24 


9-885 10 


11 


53 


9-807 01 


i; 


9-922 02 


26 


0-077 98 


9-884 99 


11 


54 


9-807 16 


i; 
l; 


9.922 27 


25 
26 


0-077 73 


9-884 89 


1( 

11 


55 


9-807 31 




9.922 S3 




0077 47 


9-884 7S 




S( 


9-807 46 


i; 


9-922 79 


26 


0-077 21 


9-884 68 


1( 


57 


9-807 62 


u 


9-923 04 


25 


0-076 96 


9-884 57 


11 


5S 


9-807 77 


Xi 


9 923 30 


26 


0-076 70 


9-884 47 


u 


59 


9-807 92 


i; 


9-923 56 


26 
25 


0-076 44 


9-884 36 


11 
11 


6(1 


9-808 07 




9.923 81 




0-076 19 


9-884 25 




f 


L. Co^. 


d. 


L. Cot. 


c.d 


I,. Tail. 


I,. Sin. 


d. 



r 


vv 


.0 


It 


26 


25 


i9 


1 


0-4 


0-4 


iS 


2 


0-9 


01-8 


!7 


3 


1.3 


1-2 


)6 


4 


1-7 


1-7 


i5 


5 


2-2 


2-1 


i4 


6 


2-6 


2-S 


;3 


7 


3-0 


2-9 


52 


8 


3-5 


3-3 


il 


9 


3-9 


3-8 


JO 


10 


4.3 


4.2 


19 


20 


8-7 


8.3 


18 


30 


130 


12.5 


SI 


40 


17.3 


16-7 


16 


50 


21.7 


20-8 


B 


» 


16 


15 


H 


1 


0-3 


0-2 


n 


2 


0-5 


0-5 


VI 


3 


0-8 


0-8 


n 


4 


1-1 


I-O 


w 


5 


1-3 


1-2 


39 


6 


1-6 


1-5 


38 


7 


1-9 


1-8 


37 


8 


2-1 


2-0 


36 


9 


2-4 


22 


35 


10 


2-7 


2.5 


34 


20 


5-3 


5-0 


33 


30 


8-0 


7.5 


3'2 


40 


' 10-7 


lO-O 


31 


50 


13-3 


125 


30 


rr 


11 


10 


29 


1 


0-2 


0-2 


28 


2 


0-4 


0-3 


27 


3 


0-6 


0-5 


26 


4 


0-7 


0-7 


25 


5 


0-9 


0-8 


24 


6 


M 


VQ 


23 


7 


1.3 


1.2 


22 


8 


1-5 


1.3 


21 


9 


1-6 


1-5 


20 


10 


1-8 


1.7 


19 


20 


3.7 


3-3 


18 


39 


5-5 


5-0 


17 


40 


7.3 


6.7 


16 


50 


9-2 


8-3 


15 




11 


11 


14 




26 


25 


13 








12 



1 
2 
3 
4 


1.2 


1-1 


ii 


3.5 


3-4 




5-9 


5-7 


lU 


S-3 


7.9 


9 


10-6 


102 


8 


6 
7 
S 
9 
10 
11 


13-0 


12-5 


b 


15-4 


14.8 


t 


17-7 


17-1 




j 20-1 


19-3 


D 


' 22.5 


21-6 


4 
3 


24-S 


23.9 


2 

1 

a 








r 




P.P. 





129° (309°) 



(230 ) 50" 



84 



{Continued^ 



SP : 8 - 1970 



TABLE 



40° (220°) 



6 LOGARITHMS OK TRIGONOMETRIC FUNCTIONS ~ Contd 

(319') 139- 



' 


L. Sill, 


d. 

15 
15 

IS 
15 


1.. Tan. 


26 
26 
25 
26 


L. Cot. 


L. Cos. 


d. 1 


' 


I'.p. 





9 80H07 


9-923 81 


0-076 19 


9-88+25 


10 
11 
10 

11 


60 


» 


26 


25 


1 


9-808 22 


9.924 07 


0-075 93 


9.884 15 


59 


1 


0-4 


0-4 


2 


9-808 37 


9-924 33 


0-075 67 


9.884 04 


58 


2 


0-9 


0-8 


3 


9-808 52 


9-924 58 


0-075 42 


9.883 94 


57 


3 


1-3 


1-2 


4 


9-808 67 


9-924 84 


0-075 16 


9-883 83 


56 


4 


1-7 


1-7 






IS 




26 






11 










5 


9-808 82 


1.5 
15 

l.i 


9-925 10 


25 
26 
26 
25 

26 

25 
26 
26 

25 


0-074 JO 


9.883 72 


10 

11 
11 

10 


55 


5 


2-2 


2-1 


6 


9-808 97 


9-925 35 


0074 65 


9-883 62 


54 


6 


2-6 


2-S 


7 


9-809 12 


9-925 61 


0-074 39 


9 -8 S3 51 


53 


7 


3-0 


.2-9 


8 


9-809 27 


9 92S 87 


0-074 13 


9-8S3 40 


52 


8 


3-5 


3-3 


9 


9-809 42 


15 
1 ^ 


9-926 12 


0-073 88 


9-883 30 


51 


9 


3.9 


3-8 


10 


9-809 57 


1 J 


9-926 38 


0-073 62 


9-88319 


11 


50 


10 


4-3 


4-2 


11 


9-809 72 


15 
15 
15 
15 


9926 63 


0-073 37 


9-883 08 


11 
10 

11 


49 


20 


8.7 


8.3 


12 


9-809 87 


Y.926 89 


0-073 11 


9.882 98 


48 


30 


13-0 


12.5 


13 


9-810 02 


9-927 15 


0-072 85 


9-882 87 


47 


40 


17-3 


16-7 


14 


9-810 17 


9-927 40 


0-072 60 


9-882 76 


11 


46 


50 


21-7 


20-8 






15 




26 






10 










15 


9-81032 




9-927 66 




0-072 34 


9-882 66 




45 


* 


15 


14 


16 


9-81047 


15 


9-927 92 


26 
25 
26 


0-072 08 


9.882 55 


11 


44 


1 


0-2 


0-2 


17 


9-81061 


14 
15 


9 928 17 


0'071 a3 


9.882 44 


11 
10 


43 


2 


0-5 


0-5 


18 


9-810 76 


9-928 43 


0-071 57 


9.882 34 


42 


3 


0-8 


0-7 


19 


9-81U91 


15 

15 


9-928 68 


25 
26 


0-071 32 


9.882 23 


11 

11 


41 


4 


1-0 


0-9 


20 


9-81106 




9-928 94 


26 
25 
26 
25 


0071 06 


9-882 12 




40 


5 


1.2 


1-2 


21 


9.81121 


15 


9-929 20 


0-070 80 


9-882 01 


11 


39 


6 


1-5 


1-4 


22 


9.811 36 


15 


9-929 45 


0070 55 


9-881 91 


10 


38 


7 


IS 


1-6 


23 


9-81151 


15 


9.929 71 


0070 29 


S-881 80 


11 


37 


8 


20 


1-9 


24 


9-81166 


15 


9.929 96 


0-070 04 


9-881 69 


11 


36 


9 


2-2 


2.1 






14 




26 






11 










25 


9-811x0 




9-930 22 




0-069 78 


9-881 58 




35 


10 


2-5 


2.3 


26 


9-81195 


15 


9-930 48 


26 


0-069 52 


9.881 48 


10 


34 


20 


5-0 


4-7 


27 


9-812 10 


15 


9-930 73 


25 


0-069 27 


9.881 37 


11 


33 


30 


7-5 


7-0 


28 


9.812 25 


15 


9-930 99 


26 


0-069 01 


9-881 26 


11 


32 


40 


100 


9-3 


29 


9-812 40 


15 

14 


9-931 24 


25 

26 


0-068 76 


9-881 15 


11 

10 


31 


SO 


12-5 


11-7 


30 


9-812 54 




9.931 so 




0-068 50 


9-88105 




30 


» 


11 


10 


31 


9-812 69 


15 


9-931 75 


25 
26 


O-068 25 


9-880 94 


11 


29 


1 


0-2 


0-2 


32 


9.812 84 


15 


9.932 01 


0-067 99 


9-SSO S3 


11 


28 


2 


04 


0-3 


33 


9.812 99 


15 


9.932 27 


26 


0-067 73 


9-880 72 


u 


27 


3 


0-6 


0-5 


34 


9.813 14 


15 
14 


9.932 52 


25 
26 


0-067 48 


9.880 61 


11 
10 


26 


4 


0-7 


0-7 


35 


9-813 28 




9-932 78 




0-067 22 


9-880 51 




25 


5 


0-9 


0-8 


36 


9-813 43 


15 


9-933 03 


25 


0-066 97 


9-880 40 


11 


24 


6 


1-1 


1-0 


37 


9-813 58 


15 


9.933 29 


26 


066 7 1 


9-880 29 


11 


23 


7 


1.3 


1-2 


3S 


9-813 72 


14 


9.933 54 


25 


0-066 46 


9-880 18 


11 


22 


8 


1-5 


1-3 


39 


9-813 87 


IS 


9.933 80 


26 


0-U66 20 


9-880 07 


H 


21 


9 


1-6 


15 


40 


9-814 02 


15 


9-934 04 


26 


0065 94 


9-879 96 


11 


20 


10 


1-8 


1-7 


41 


9-814 17 


15 


9-934 3 1 


25 


0-065 69 


9-879 85 


11 


19 


20 


3-7 


3-3 


42 


9-814 31 


14 


9-934 57 


26 


006543 


9-879 75 


10 


18 


30 


5-S 


5-0 


43 


9-814 46 


15 


9.934 82 


25 


0065 18 


9-879 64 


11 


17 


40 


7-3 


6-7 


44 


Y.814 61 


15 
14 


9.935 08 


26 

25 


0064 92 


9-879 53 


u 

11 


16 


SO 


9-2 


8-3 


45 


9-814 75 




9-935 33 




0064 67 


9.879 42 




15 








46 


9.814 90 


15 


9-935 59 


26 


0-064 41 


9.879 31 


11 


14 








47 


9-815 OS 


15 


9-935 84 


25 


0-06416 


9-879 20 


11 


13 


11 


10 


10 


48 


9-815 19 


14 


9.93610 


26 


0-063 90 


9-879 09 


11 


12 


26 


26 


25 


49 


9-815 34 


15 


9-936 36 


26 


0-063 64 


9.878 98 


11 


11 








50 


9-81349 


15 


9-936 61 


25 


0063 39 


9.878 87 


n 


10 




1 
2 


1-2 


1-3 


1-2 


51 


9-815 63 


14 


9-936 87 


26 


0063 13 


9.878 77 


10 


9 


3-5 


3-9 


3.8 


52 


9.815 78 


15 


9-937 12 


25 


0-062 88 


9.878 66 


u 


8 


3 

4 


5.9 


6-5 


6.2 


S3 


9-815 92 


14 


9-937 38 


26 


0062 67 


9.878 55 


11 


7 


S-3 


9-1 


8.8 


54 


9-816 07 


15 


9.937 63 


25 


0062 37 


9.878 44 


11 


6 




10-6 


11-7 


11-2 


55 


9-816 22 


15 


9.937 89 


26 


0-062 11 


9.878 33 


11 





6 
7 
8 
9 
10 
11 


13-0 
15-4 


14-3 
16-9 


13.8 
16.2 


56 


9-816 36 


14 


9.938 14 


25 


0-061 86 


9-878 22 


11 


fi 


17.7 


19-5 


18-8 


57 


9.816 51 


15 


9.938 40 


26 


0-061 60 


9-87811 


11 


1 


201 


22-1 


21-2 


58 


9-81665 


14 


9.938 65 


25 


0-061 35 


9.878 00 


11 


S 


22-5 


247 


23-8 


59 


9-816 80 


IS 


9.938 91 


26 


0061 09 


9.877 89 


11 


11 


24-S 


— 




60 


9-816 94 


14 
d. 


9-939 16 


25 


0060 84 


9.877 78 


11 


( 








* 


L. Cos. 


L. Cot+. 


c.d. 


L. Tan. 


h. Sin. 


ll. 


r 




P. 


P, 



130° (3 10°) 



(229°) 49* 



85 



(Continued) 



SP : 8 - 1970 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 
41" (221°) (318") 138° 



■ Conid 



L. Sin. 



d. 



9-816 94 
9-817 09 
9-817 23 
9-817 38 
9-817 52 

9.817 67 
9.817 81 

9.817 96 

9.818 10 

9.818 25 

9-818 39 
9-818 54 
9-818 68 
9-818 82 
9-818 97 

9.819 11 
9.819 26 
9.819 40 
9.819 55 
9.819 60 

9-819 83 

9.819 98 
9-820 12 
9-820 26 
9-820 41 

9.820 5 5 
9.820 69 

9.820 84 
9-820 98 

9.821 12 

9821 26 
9.82141 
9.821 55 
9.821 69 
9-821 84 

9-821 98 
9-822 12 
9-822 26 
9-822 40 
9-822 55 

9-822 69 
9-822 83 
9-822 97 
9-823 n 
9.823 26 

9.823 40 
9-823 54 
9-823 68 
9.823 82 

9.823 96 

9.824 10 
9.824 24 
9.824 39 
9.824 53 
9.824 07 

9.824 81 

9.824 95 
9-825 09 
9-825 23 

9.825 37 

9.825 51 
L. COS. 



15 
14 
15 
14 

15 

14 
15 

14 

15 

14 

15 
14 
14 
15 

14 

15 
14 
1.5 
14 

14 

15 
14 
14 
15 

14 

14 
15 
14 
14 

14 

15 
14 
14 
15 

14 

14 
14 
14 
15 

14 

14 
14 

14 

15 

14 

14 

14 
[4 
14 



14 
IS 
14 
14 

114 

1 

lid 
114 
14 

14 



131° (311") 



L. Tan. 



9.939 16 
9-939 42 
9-939 67 

9.939 93 
9-940 1 a 

9.940 44 
9-940 69 
9-940 95 

9.941 20 
9-941 46 

9.941 71 

9.941 97 

9.942 22 
9.942 48 
9942 73 

9-942 99 
9-943 24 
9-943 50 
9-943 75 
9-944 01 

9.944 26 
9.944 52 

9.944 77 

9.945 03 
9.945 28 

9.945 54 

9.945 79 

9.946 04 
9.946 30 
9.946 55 

9.946 81 

9.947 06 
9-947 32 
9-947 57 

9.947 83 

9.948 08 
9.948 34 
9-948 59 

9.948 84 

9.949 10 

9-949 35 

9.949 61 

9.949 86 
9 950 12 
9-950 37 

9.950 62 

9.950 88 

9.951 13 
9.951 39 
9.951 64 

9.951 90 

9.952 15 
9.952 40 
9.952 66 

9.952 91 

9.953 17 

9.953 42 
9-953 68 
9-953 93 

9.954 18 

9.954 44 
L. cot. 



26 
25 
26 
25 

26 

25 
26 
25 
26 

25 

26 
25 
26 
25 

26 

25 
26 
25 
26 

25 

26 
25 
26 
25 

26 

25 
25 
26 
25 

26 

25 
26 
25 
26 

25 

26 
25 
25 
26 

25 

26 
25 
26 
25 

25 

26 
25 
26 
25 

26 

25 
25 
26 
25 

26 

25 
26 

25 
25 

26 



c.d 



L. cot. 



0-060 84 
0-060 58 
0-060 33 

0.060 07 
0-059 82 

0.059 56 
0-059 31 
0-059 05 
0.058 80 
0-058 54 

0-C58 29 
0-058 03 
0-057 78 
0-057 52 
0-057 27 

0057 01 
0-056.76 
0056 50 
0-056 25 
0055 99 

0-055 74 
0-055 48 
0-055 23 

0.054 97 
0-054 72 

0-054 46 
0-054 21 
0-053 96 
0-053 70 

0.053 45 

0.053 19 
0-052 94 
0-052 68 
0-052 43 
0-052 17 

0-051 92 
0051 66 
0-051 41 
0-051 16 

0050 90 

0-050 65 
0-050 39 
0050 14 
0-049 88 
0-049 63 

0-049 38 
0-049 12 

0.048 87 
0-048 61 

0.048 36 

0-048 10 
0-047 85 
0-047 60 
0-047 34 
0-047 09 

0-046 83 
0046 58 
0-046 32 
0.046 07 
0-045 82 

0045 56 



L. Tan. 



9.877 78 
9-877 67 
9-877 56 
9.877 45 
9.877 34 

9-877 23 
9-877 12 
9-877 01 
9-876 90 
9-876 79 

9.876 68 
9,876 57 
9.876 46 
9.876 35 
9.876 24 

9.876 13 
9.876 01 
9-875 90 
9-875 79 
9-875 68 

9-875 57 
9 875 46 

9.875 35 
9.875 24 
9.875 13 

9-875 01 
9-874 90 
9-874 79 
9-874 68 
9-874 57 

9.874 46 
9.874 34 
9.874 23 
9.874 12 
9-874 01 

9.873 90 
9.873 78 
9.873 67 
9.873 56 
9.873 45 

9.873 34 
9-873 22 
9-873 11 

9.873 00 
9.872 88 

9-872 77 
9.872 66 
9.872 55 
9-872 43 
9-872 32 

9.872 21 
9.872 09 
9-871 98 
9-871 87 
9-871 75 

9-871 64 
9-871 53 

8.871 41 
9.871 30 
9.871 19 

9.871 07 



L. Sin. 



d. 



11 
11 
11 
11 

11 

11 
11 
11 
11 

11 

12 
11 
11 
11 

11 

11 
11 
11 
11 

12 

11 
11 
11 
11 

11 

12 
11 
11 
11 

11 

12 
11 

Jl 

11 

11 

12 
11 
11 
12 

II 

II 
11 
12 
11 

11 

12 
11 
II 
12 

11 

11 
12 
II 
II 

12 



60 

59 
58 

57 
56 

55 
54 
53 
5? 

51 

50 
49 
48 
47 
46 

45 
44 
43 

42 

41 

40 

39 
38 
37 

36 

35 
34 

33 
32 
31 

30 
29 
28 
27 
26 

25 
24 
23 
22 
21 

20 
19 
18 

17 
16 

15 
14 
13 
12 
11 

10 
9 
8 
7 

6 

5 
4 
3 
2 



P.P. 






26 


1 


0-4 


2 


0-9 


3 


1.3 


4 


1.7 


5 


2.2 


6 


2.6 


7 


3-0 


8 


3-5 


9 


3.9 


10 


4-3 


20 


87 


30 


13.0 


40 


17-3 


50 


21.7 


It 


15 


1 


0-2 


2 


0-5 


3 


0-8 


4 


1-0 


5 


1.2 


6 


1.5 


7 


1-8 


8 


2-0 


9 


2.2 


10 


2.5 


20 


5-0 


30 


7-5 


40 


10-0 


50 


12.5 


m 


12 


1 


0-2 


2 


0-4 


3 


0-6 


4 


0-8 


5 


1-0 


6 


1.2 


7 


1-4 


8 


1-6 


9 


1.8 


10 


2-0 


20 


4-0 


30 


6-0 


40 


80 


50 


100 



12 
26 

1-1 

3-2 

5-4 

7-6 

9-8 

11-9 

14-1 

16.2 

18.4 

20.6 

22.8 

24.9 



12 
25 

11 

3.1 

5.2 

7.3 

9.4 

11.5 

13.5 

15.6 

17.7 

19.8 

21-9 

23-9 



P.P. 



25 
0-4 
0-8 
1-2 
1-7 

21 
2-5 
2-9 
3-3 
3-8 

4.2 

8-3 

12-5 

16.7 
20.8 

14 
0-2 
0-5 
0-7 
0-9 

1-2 
1-4 
1-6 
1-9 
2-1 

2-3 
4-7 
7-0 
9-3 

11.7 

11 
0-2 
0-4 
0-6 
0-7 

0-9 
11 
i-3 
1-5 
1.6 

1-8 
3-7 
5-5 
7-3 
9-2 

Jl 
25 

11 

3-4 

5-7 

7-9 

10.2 

12-5 

14.8 

17.1 

19.3 

21-6 

23.9 



(228 48° 



86 



(Continued) 



SP : 8 - 1970 



42" (222") 



TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS 

(317°) 137° 



— Contd 



f 


L. Sin. 


d. 

14 
14 
14 
14 


L. Tan. 


c.d. 


L. Cot. 


L. Cos. 


d. 

11 
11 
12 
11 


' 


p.p. 





9.825 51 


9.954 44 


25 
26 
25 
25 


0-045 56 


9.871 07 


60 


H 


26 


25 


1 


9.825 65 


9.954 69 


0-045 31 


9-870 96 


59 


1 


0-4 


0-4 


2 


9.825 79 


9.954 95 


0-045 05 


9.870 85 


58 


2 


0-9 


0-8 


3 


9.825 93 


9.955 20 


0-044 80 


9-870 7 3 


57 


3 


1-3 


1-2 


4 


9.826 07 


9.955 45 


0044 55 


9.870 62 


56 


4 


1.7 


1.7 






14 




26 






12 










5 


9.826 21 


14 
14 
14 
14 


9-955 71 


25 
26 
25 
25 


0-044 29 


9-870 50 


11 
11 
12 
11 


55 


5 


2.2 


2-1 


6 


V-826 35 


9.955 96 


0-044 04 


9.870 39 


54 


6 


2-6 


2-5 


7 


9-826 49 


9.956 22 


0043 78 


9.870 28 


53 


7 


3-0 


2-9 


8 


9.826 63 


9.956 47 


0-043 53 


9.870 16 


52 


f 


3-5 


3-3 


9 


9.826 77 


'»-956 72 


0.043 28 


9-870 05 


51 


J 


3-9 


3.8 






14 




26 






12 










10 


9.826 91 




9.956 98 


25 
25 
26 
25 


0-043 02 


9.869 93 


11 
12 
11 
12 


50 


10 


4.3 


4-2 


11 


9.827 05 


14 
14 
14 

14 


9-957 23 


0042 77 


9.869 82 


49 


20 


8.7 


8-3 


12 


9.827 19 


9-957 48 


0-042 5 2 


9.869 70 


48 


30 


13-0 


12.5 


13 


9-827 33 


9-957 74 


0.042 26 


9.869 59 


47 


40 


17.3 


16.7 


14 


9.827 47 


9.957 99 


0042 01 


9-869 47 


46 


50 


21.7 


20.8 






14 




26 






11 










15 


9-827 61 




9.958 25 


25 
25 
26 
25 


0-041 75 


9.869 35 


12 
11 
11 
12 


45 


* 


14 


12 


16 


9.827 75 


14 
13 


9.958 50 


0-041 50 


9.869 24 


44 


1 


0-2 


0-2 


17 


9.827 88 


9-958 75 


0.041 25 


9.869 13 


43 


2 


0-5 


0-4 


18 


9-828 02 


14 


9.959 01 


0-040 99 


9-869 02 


42 


3 


0-7 


0-6 


19 


9.828 16 


14 


9.959 26 


0-040 74 


9.868 90 


41 


4 


0-9 


0-9 






14 




26 






11 










20 


9.828 30 




9.959 52 


25 
25 
26 
25 


0-040 48 


9-868 79 


12 
12 


40 


5 


1.2 


l-l 


21 


9.828 44 


14 


9.959 77 


0-040 23 


9-868 67 


39 


6 


1-4 


1-3 


22 


9.828 58 


14 


9-960 02 


0.039 98 


9-868 55 


38 


7 


1-6 


1-5 


23 


9.828 72 


14 


9-960 28 


0.039 72 


9-868 44 


11 
12 


37 


8 


1-9 


1-7 


24 


9.828 85 


13 


9-960 63 


0039 47 


9.868 32 


36 


9 


2.1 


2-0 






14 




25 






11 










25 


9-828 99 




9-960 78 


26 


0-039 22 


9.868 21 


12 
11 
12 
11 


35 


10 


2.3 


2.2 


26 


9.829 13 


14 


9-961 04 


0.038 96 


9.868 09 


34 


20 


4.7 


4.3 


27 


9-829 27 


14 
14 


9-961 29 


25 
26 
25 


0038 71 


9.367 98 


33 


30 


7-0 


6.5 


28 


9.829 41 


9.961 55 


0-038 45 


9.867 86 


32 


40 


9.3 


8.7 


29 


9-829 55 


14 


9961 80 


0-038 20 


9.867 75 


31 


SO 


11.7 


10-8 






13 




25 






12 










30 


9.829 68 




9-962 05 




0-037 95 


9.867 63 




30 


/f 


12 


11 


31 


9.829 82 


14 


9-962 31 


26 


0.037 69 


9.867 52 


11 
12 
12 


29 


1 


0-2 


0-2 


32 


9.829 96 


14 


9.962 56 


25 


0-037 44 


9.867 40 


28 


2 


0-4 


0-4 


33 


9-830 10 


14 


9.962 81 


25 


0.037 19 


9-867 28 


27 


3 


06 


06 


34 


9-830 23 


13 

:14 


9.963 07 


26 
25 


0.036 93 


9.867 17 


11 
12 


26 


4 


0-8 


0-7 


35 


9-830 37 




9.963 32 




0.036 68 


9.867 05 




25 


5 


1-0 


0-9 


36 


9-830 51 


14 


9.963 57 


25 


0.036 43 


9.866 94 


11 


24 


6 


1.2 


M 


37 


9.830 65 


14 


9-963 83 


26 


0.036 17 . 


9.866 82 


12 
12 
11 


23 


7 


1-4 


1-3 


38 


9-830 78 


:i3 


9.964 OS 


25 


0,035 92 


9.866 70 


22 


8 


1-6 


1-5 


39 


9-830 92 


:i4 


9.964 33 


25 


0-035 67 


9.866 59 


21 


9 


1.8 


1-6 






14 




26 






12 










40 


9.831 06 




9.964 59 




0-035 41 


9-866 47 




LO 


10 


2-0 


1.8 


41 


9-831 20 


14 


9.964 84 


25 


0-035 16 


9.866 35 


12 


19 


20 


4-0 


3.7 


42 


9-831 33 


:13 


9.965 10 


26 


0.034 90 


9.866 24 


11 
12 


18 


30 


60 


5-5 


43 


9.831 47 


:14 


9.965 35 


25 


034 65 


9.866 12 


17 


40 


8-0 


7-3 


44 


9.831 61 


:i4 
:|3 


9.965 60 


25 
26 


0-034 40 


9.866 00 


12 

11 


16 


SO 


10.0 


9.2 


45 


9-831 74 




9.965 86 




0034 14 


9.865 89 




15 








46 


9-831 88 


:14 


9.966 11 


25 


0-033 89 


9.865 77 


12 


14 


12 


11 


11 


47 


9.832 02 


;14 


9.966 36 


25 


0.033 64 


9.865 65 


12 


13 


26 


26 


25 


48 


9.832 15 


]13 


9.966 62 


26 


0-033 38 


9.865 54 


11 


12 








49 


9-832 29 


:14 


9.966 87 


25 


0-033 13 


9.865 42 


12 


11 



1 












:13 




25 






12 




1-1 


1-2 


1-1 


50 


9.832 42 




9.967 12 




0-032 88 


9.865 30 




10 


3-2 


35 


3-4 


51 


9.832 56 


:|4 


9.967 38 


26 


0.032 62 


9-865 18 


12 


9 


2 


5-4 


5-9 


5-7 


52 


9.832 70 


:i4 


9.967 63 


25 


0.032 37 


9.865 07 


11 


8 


3 


7 6 


8-3 


7-9 


53 


9.832 83 


■13 


9.967 88 


25 


0-032 12 


9.864 96 


12 


7 


4 


9.8 


10 6 


10-2 


54 


9.832 97 


:i4 


9.968 14 


26 


003186 


9-854 83 


12 


6 


5 
6 


11-9 


13-0 


12-5 






;i3 




25 






1 


1, 


14-1 


15.4 


14.8 


55 


9.833 10 




9.968 39 




0-03161 


9.864 72 




5 


7 


16.2 


17.7 


17.1 


56 


9-833 24 


:i4 


9.968 64 


25 


0.031 36 


9.864 60 


12 


4 


8 


18.4 


20.1 


19.3 


57 


9-833 38 


14 


9-968 90 


26 


0-031 10 


9.864 48 


12 


3 


9 


20.6 


22.5 


21.6 


58 


9.833 51 


:I3 


9-96915 


25 


0-030 85 


9.864 36 


12 


2 


10 


22 8 


24.8 


23.9 


59 


9.833 65 


:14 


9.969 40 


25 


0030 60 


9.864 25 


11 


1 


11 
12 


24.9 










:i3 




26 






12 










60 


9.833 78 


(1. 


9.969 66 


cd 


0.030 34 


9-864 13 


d. 




r 








f 


L. COS. 


L. cot. 


L. Tan. 


L. Sin. 


P.P. 



132° (312 ) 



(227°) 47 



87 



{Continued) 



SP : 8 - 1970 





TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Ccntd 




43° 


(223°) 












(316 ) 136 






' 


1 L. Sin. 


tl. 


I, Tan. 


:.cl 

25 
25 
26 
25 


h. Cot, 


L. Cos. 


CI 

12 
12 
12 

11 


60 


P.P. 





9-833 78 


14 
13 
14 
13 


9.969 66 


0-030 34 


9.864 13 


* 


26 


25 


1 


9-833 92 


9.969 91 


0-030 09 


9-864 01 


59 


1 


0-4 


0-4 


2 


9-834 05 


9.970 16 


0-029 84 


9-863 89 


58 


2 


0-9 


0-8 


3 


9-83419 


9-970 42 


0-029 58 


9-863 77 


57 


3 


1-3 


1-2 


4 


9-834 32 


9.970 67 


0-029 33 


9.863 66 


56 


4 


1-7 


1-7 






14 




25 






12 










5 


9.834 46 


13 
14 
13 

14 


9-970 92 


26 
25 

25 
25 


0-029 08 


9-863 54 


12 
12 
12 
12 


55 


S 


2-2 


2-1 


6 


9-834 59 


9-971 18 


0-028 82 


9-863 42 


54 


6 


2-6 


2-5 


7 


9-834 73 


9-97143 


0-028 57 


8-863 30 


53 


7 


3-0 


2-9 


S 


9.834 86 


9-971 68 


0-028 32 


9-863 18 


52 


8 


3-5 


3-3 


9 


9.835 00 


9-971 93 


0.028 07 


9-863 06 


51 


9 


3-9 


3-8 






13 




26 






11 










10 


9.835 13 


14 
13 
14 
13 


9.972 19 


25 
25 
26 
25 


0.027 81 


9-862 95 


12 
12 

12 
12 


50 


10 


4.3 


4-2 


11 


9.835 27 


9.972 44 


0-027 56 


9-862 83 


49 


20 


8-7 


8-3 


12 


9.835 40 


9.972 69 


0-027 31 


9.862 71 


48 


30 


13-0 


12-5 


13 


9.835 54 


9.972 95 


0-027 05 


9.862 59 


47 


40 


17-3 


16.7 


H 


9,835 67 


9.973 20 


0.026 80 


9.862 47 


46 


50 


21.7 


208 






14 




25 






12 










15 


9.835 81 


13 
14 
13 
13 


9-973 45 


26 

25 
25 
26 


0-026 55 


9-862 35 


12 
12 

11 
12 


45 


iT 


14 


13 


16 


9-835 94 


9-973 71 


0.026 29 


9-862 23 


44 


1 


0-2 


0-2 


17 


9-836 08 


9-973 96 


0.026 04 


9-862 11 


43 


2 


0-5 


0-4 


18 


9-836 21 


9-974 21 


0-025 79 


9-862 00 


42 


3 


0-7 


0-6 


19 


9-836 34 


9-974 47 


0-025 S3 


9-861 88 


41 


4 


0-9 


0-9 






14 




25 






12 










20 


9-836 48 


13 
13 
14 
13 


9-974 72 


25 
26 
25 
25 


0-025 28 


9.861 76 


12 
12 
12 
12 


40 


5 


1.2 


1-1 


21 
22 


9-836 61 
9-836 74 


9-974 97 
9-975 23 


0-025 03 
0-024 77 


9.861 64 
9.861 52 


39 

38 


6 

7 


1-4 
1-6 


1-3 
1-5 


23 


9-836 88 


9-975 48 


0-024 52 


9-861 40 


37 


8 


1-9 


1-7 


24 


9-837 01 


9-975 73 


0-024 27 


9-861 28 


36 


9 


2-1 


2-0 






14 




25 






12 










25 


9.837 15 


13 
13 

14 
13 


1 9-975 98 


26 
25 
25 
26 


0-024 02 


9.861 16 


12 
12 

12 
12 


35 


10 


2-3 


2-2 


26 


9.837 28 


9-976 24 


0-023 76 


9-861 04 


34 


20 


4-7 


4-3 


27 


9.837 41 


9-976 49 


0-023 51 


9-860 92 


33 


30 


7-0 


6-5 


28 


9.837 58 


9-976 74 


0-023 26 


9.860 80 


32 


40 


9-3 


8-7 


29 


9.837 C8 


9-977 00 


0.023 00 


9.860 68 


31 


50 


11.7 


10-8 






13 




25 






12 










30 


9.837 81 


14 
13 
13 

13 


9.977 25 


25 
26 
25 
25 


0.022 75 


9-860 56 


12 

12 

12 

12 


30 


» 


12 


11 


31 


9.837 95 


9.977 50 


0.022 50 


9-860 44 


29 


1 


0-2 


0-2 


32 


9-838 08 


9-977 76 


0-022 24 


9.860 32 


28 


2 


04 


0-4 


33 


9-838 21 


9-978 01 


0-021 99 


9.860 20 


27 


3 


0-6 


0-6 


34 


9.838 34 


9-978 26 


0.021 74 


9.860 OS 


26 


4 


0-8 


0-7 






14 




25 






12 










35 


9.838 48 


13 
13 
13 

14 


9.978 51 


26 
25 
25 
26 


0-021 49 


9-859 96 


12 
12 
12 
12 


25 


5 


10 


0-9 


36 


9-838 61 


9-978 77 


0-021 23 


9-859 84 


24 


6 


1-2 


M 


37 
38 


9-838 74 
9-838 87 


9.979 02 
9.979 27 


0-02098 
0-020 73 


9-859 72 

9.859 60 


23 
22 


7 
8 


1-4 
1-6 


1-3 
1-5 


39 


9.839 01 


9-979 53 


0-020 47 


9-85948 


21 


9 


1-8 


1-6 






13 




25 






12 










40 


9.839 14 


13 
13 
14 
13 


9.979 78 


25 
26 
25 
25 


0.020 22 


9.859 36 


12 
12 
12 
12 


20 


10 


2-0 


1-8 


41 


9.839 27 


9-980 03 


0.019 97 


9.859 24 


19 


20 


4-0 


3-7 


42 


9-83940 


9-980 29 


0-019 71 


9.859 12 


18 


30 


6-0 


S-5 


43 


9-839 54 


9-980 54 


0-019 46 


9-859 00 


17 


40 


8-0 


7-3 


1^4 


9.839 67 


9-980 79 


0-019 21 


9 858 88 


16 


50 


10-0 


9-2 






13 




25 






12 










45 


9-839 80 


13 
13 
14 
13 


9.981 04 


26 
25 
25 
26 


0-018 96 


9-858 76 


12 
13 
12 

12 


15 








46 


9-839 93 


9.981 30 


0-018 70 


9-858 64 


14 


13 


13 


12 


47 


9-840 06 


9.981 55 


0-018 45 


9-858 51 


13 


26 


25 


25 


48 


9.840 20 


9-981 80 


0018 20 


9.858 39 


12 




1 
2 
3 
4 

5 
6 

7 
8 
9 

10 

11 
!2 

!3 








49 


9-840 33 


9.982 06 


0-017 94 


9.858 27 


U 


1-0 


0-9 


11 






13 




25 






12 




3-0 


2-9 


3-1 


50 


9.840 46 


13 
13 
13 
13 


9.982 31 


25 
25 
26 
25 


0-017 69 


9.858 15 


12 
12 

12 
13 


10 


50 


4-8 


5-2 


51 


9-840 59 


9-982 56 


0-017 44 


9.868 03 


9 


7-0 


6-7 


7-3 


52 


9-840 72 


9-982 81 


0.017 19 


9-857 91 


8 


9-0 


8-7 


9-4 


53 


9-840 85 


9.983 07 


0-016 93 


9.857 79 


7 


11-0 


10-6 


11-5 


54 


9.840 98 


9.983 32 


0-016 68 


9.857 66 


6 


13.0 


12-5 


13.5 






14 




25 






12 




ISO 


14-4 


15-6 


55 


9.841 12 


13 
13 
13 

13 


9-9' 3 57 


26 
25 

25 
25 


0-016 43 


9-857 54 


12 
12 
12 
12 


5 


17-0 


16.3 


17-7 


56 


9.841 25 


9.983 83 


0-016 17 


9.857 42 


4 


19.0 


18-3 


19-8 


57 


9.841 38 


9.984 08 


0-015 92 


9.857 30 


3 


21-0 


20-2 


21.9 


58 


9.841 51 


9.984 33 


0-015 67 


9.85718 


2 


23.0 


22.1 


23.9 


59 


9.841 64 


9.984 58 


0015 42 


9.857 06 


1 


250 


24.1 








1. 




26 






13 










60 


9.841 77 


d. 


9.984 84 




0.015 16 


9.856 93 


(3. 











' 


L. Cos, 


L. Cot, 


.d. 


L. Tan. 


L. Sin. 


P.P. 


133° 


(313) 








(226° 


) 46° 







88 



(Continued) 



SP : 8 - 1970 





TABLE 6 LOGARITHMS OF TRIGONOMETRIC FUNCTIONS —Contd 




44° 


(224°) 










(315 ) 135 








i 


L. Sin. 


d. 


L. Tan. 


:.d 


L. cot. 


L. COS. 


d. 


' 


P.P. 





9.841 77 


13 
13 
13 
13 


9.984 84 


25 

25 
26 


0015 16 


9.856 93 


12 
12 
12 

12 


60 


» 


26 


25 


1 


9.841 90 


9-985 09 


0-014 91 


9-856 81 


59 


1 


0-4 


0-4 


2 


9.842 03 


9-985 34 


0014 66 


9-856 69 


58 


2 


0-9 


0-8 


3 


9.842 16 


9.985 60 


25 


0-014 40 


9-856 57 


57 


3 


1-3 


1-2 


4 


9-842 29 


9-985 85 


0-014 15 


9.856 45 


56 


4 


1-7 


1.7 






13 




25 






13 










5 


9.842 42 


13 
14 
13 

13 


9.986 10 


25 
26 
25 
25 


0013 90 


9.856 32 


12 
12 
12 

13 


55 


5 


2-2 


2-1 


6 


9.842 55 


9.986 35 


0-013 65 


9-856 20 


54 


6 


2-6 


2-5 


7 


9-842 69 


9.986 61 


0.013 39 


9-856 08 


53 


7 


3-0 


2-9 


8 


9-842 82 


9-986 86 


0-013 14 


9.855 96 


52 


8 


3-5 


3-3 


9 


9.842 95 


9-987 11 


0-012 89 


9-855 83 


51 


9 


3-9 


3-8 






13 




26 






12 










10 


9-843 08 


13 
13 
13 
13 


9-987 37 


25 
25 
25 

26 


0.012 63 


9.855 71 


12 
12 
13 

12 


50 


10 


4.3 


4-2 


11 


9-843 21 


9-987 62 


001 2 38 


9-855 59 


49 


20 


8-7 


8-3 


12 


9-843 34 


9-987 87 


0-012 13 


9-855 47 


48 


30 


130 


12-5 


13 


9-843 47 


9.988 12 


0-01188 


9.855 34 


47 


40 


17-3 


16-7 


14 


9-843 60 


9.988 38 




0.011 62 


9.855 22 


46 


50 


21.7 


20-8 






13 




25 






12 










IS 


9.843 73 


12 
13 
13 

13 


9.988 63 


25 
25 
26 
25 


OOU 37 


9.855 10 


13 
12 
12 
13 


45 


14 


13 


12 


16 


9.843 85 


9-988 88 


0-011 12 


9-854 97 


44 


1 


0-2 


0-2 


0-2 


17 


9.843 98 


9.989 13 


0-010 87 


9-854 85 


43 


2 


0-5 


0-4 


0-4 


IS 


9-844 11 


9-989 39 


0-010 61 


9.854 73 


42 


3 


0-7 


0-6 


0-6 


19 


9.844 24 


9.989 64 


0.010 36 


9.854 60 


41 


4 


0-9 


0-9 


0-8 






13 




25 






12 












20 


9.844 37 




9-989 89 


26 
25 
25 
25 


0.010 11 


9-854 48 


12 
13 
12 
12 


40 


S 


1-2 


1-1 


1-0 


21 


9.844 50 


13 
13 
13 
13 


9-99015 


0.009 85 


9-854 36 


39 


6 


1-4 


1-3 


1-2 


22 


9-844 63 


9-99040 


0009 60 


9-854 23 


38 


7 


1-6 


1-5 


1-4 


23 


9.844 76 


9-990 65 


0-009 35 


9.854 11 


37 


8 


1-9 


1-7 


1-6 


24 


9.844 89 


9-990 90 


0-009 10 


9-853 99 


36 


9 


2.1 


2-0 


1-8 






13 




26 






13 












25 


9.845 02 


13 
13 
12 
13 


9-991 16 


25 
25 
25 

26 


0-008 84 


9.853 86 


12 
13 
12 
12 


35 


10 


2-3 


2-2 


2-0 


26 


9.845 15 


9-991 41 


0-008 59 


9.853 74 


34 


20 


4-7 


4-3 


4-0 


27 
28 


9-845 28 
9-845 40 


9.991 66 
9.991 91 


0-008 34 
0-008 09 


9.853 61 
9.853 49 


33 

32 


30 
40 


7-0 
9-3 


6-5 
8-7 


6-0 
8-0 


29 


9.845 53 


9.992 17 


0-007 83 


9-853 37 


31 


50 


11-7 


10.8 


10-0 






13 




25 






13 










30 


9-845 66 




9-992 42 


25 
26 

25 
25 


0-007 58 


9-853 24 


12 
13 
12 
13 


30 








31 


9-845 79 


13 


9-992 67 


0-007 33 


9-853 12 


29 




13 


13 


32 


9-845 92 


13 


9-992 93 


0-007 07 


9-852 99 


28 




26 


25 


33 


9-846 05 


13 


9.993 18 


0.006 82 ' 


9-852 87 


27 








34 


9-846 18 


13 


9-993 43 


0-006 57 


9-852 74 


26 



1 
2 


1-0 


0-9 


35 


9-846 30 


12 

13 

13 
13 
13 


9,993 68 


25 

26 
25 


0006 32 


9.852 62 


12 

12 
13 
12 
13 


25 


2-0 
5-0 


2-9 
4-8 


36 


9-846 43 


9-993 94 


0-006 06 


9.852 50 


24 


3 


7-0 


6-7 

8-7 

10-6 

12 5 


37 


9-846 56 


9-994 19 


0005 81 


9.852 37 


23 


4 


9-0 


38 


9-846 69 


9-99444 


4: 


0-005 56 


9-852 25 


22 


5 


11-0 


39 


9-846 82 


9,994 69 


0005 31 


9-85212 


21 


6 


13-0 


40 

41 


9.846 94 

9.847 07 


12 

13 
13 
13 


9-994 95 

9.995 20 


26 

25 
25 
25 

26 


0005 05 
0-004 80 


9.852 00 
9.851 87 


12 

13 
12 
13 

12 


20 
19 


7 
8 
9 


15.0 
17.0 
19-0 


14-4 
16-3 

18.3 


42 


9.847 20 


9.995 45 


0-004 55 


9.851 75 


18 


10 


21-0 


20-2 


43 


9-847 33 


9,995 70 


0-004 30 


9.851 62 


17 


11 


23.0 


22-1 


44 


9-847 45 


12 


9.995 96 


0004 04 


9.851 50 


16 


12 


25.0 


24-1 






13 




25 






13 




13 






45 


9.847 58 




9-996 21 


25 
26 


0-003 79 


9.851 37 


12 
13 

12 
13 


15 








46 


9-847 71 


13 


9-996 


0-003 54 


9-85125 


14 




12 


12 


47 


9-847 84 


13 


9-996 32 


0-003 28 


9.851 12 


13 




26 


25 


48 


9-847 96 


12 


9.996 97 




0.003 03 


9-851 00 


12 




49 


9.848 09 


13 


9.997 22 


a : 


0.002 78 


9-850 87 


11 




1 

2 

3 

4 

5 

6 

7 

8 

9 

10 

11 

12 










13 




25 






13 




1-1 


1-1 


50 


9.848 22 




9-997 47 


26 
25 
25 

25 


0.002 53 


9-850 74 


12 


10 


3-2 


31 


51 


9.848 35 


13 
12 
13 


9-997 73 


0.002 27 


9-850 62 


9 


5-4 


5-2 


52 
53 


9.848 47 
9-848 60 


9.997 98 

9.998 23 


0-002 02 
0001 77 


9-850 49 

9.850 37 


13 
12 
13 


8 

7 


7-6 

9.8 


7-3 
9.4 


54 


9-848 73 


13 


9.998 48 


0.001 52 


9.850 24 


6 


11-9 


n-s 






12 




26 






12 




14-1 


13.5 


55 


9.848 85 




9.998 74 


25 
25 
25 
26 


0-001 26 


9.850 12 


13 
13 
12 
13 


5 


16-2 


15-6 


56 


9.848 98 


13 


9.998 99 


0.001 01 


9.849 99 


4 


18.4 


17.7 


57 


9.849 11 


13 


9-999 24 


0000 76 


9.849 86 


3 


20.6 


19.8 


58 


9.849 23 


12 
13 


9-999 49 


0000 51 


9.849 74 


2 


22.8 


21.9 


59 


9.849 36 


9-999 75 


0000 25 


9-849 61 


1 


24.9 


23.9 






13 




25 






12 








60 


9.849 49 




0000 00 




0.000 00 


9.849 49 













t 


L. COS. 


d. 


L. cot. 


c.d 


L. Tan. 


L. Sin. 


d. 


f 


P.P. 


134 


(314) 












(225 


)45 







89 



SP : 8 - 1970 



NATURAL TRIGONOMETRIC FUNCTIONS 
(Tables 7A and 7B) 

Values of the trigonometric functions of angles for each minute from O-360 

For degrees indicated at the top of the page use the column headings at the top. 
For degrees indicated at the bottom use the column indications at the bottom. 

With degrees at the left of each block (top or bottom), use the minute column at 
the left and with degrees at the right of each block use the minute column at the right. 

If natural trigonometric function tables are used for angle measures greater than 
90 and less than 360°, appropriate signs for the functions must be supplied in accord- 
ance with the quadrant in which the angle measure belongs. 



90 



SP: 8 - 1970 



0° (180°) 



TABLE 7A NATURAL FUNCTIONS 

(359 ) 179 1 (181 ) 



(358°) 178° 



/ 


Sin. 


Tan. 


cot. 


Cos. 







•000 00 


•000 00 


_ 


1-000 


60 


1 


•000'29 


•000 29 


3 437^7 


1-000 


59 


2 


•000 58 


•000 58 


1 7189 


1-000 


58 


3 


•000 87 


•000 87 


1 1459 


1-000 




4 


•001 16 


•00116 


85944 


1000 


:a 


5 


•00145 


•00145 


687^55 


1-0000 


55 


6 


•00175 


■00175 


572.96 


l-OOOO 


54 


7 


•002 04 


•002 04 


491.11 


1-000 


53 


8 


■002 33 


•002 33 


429.72 


1-000 


52 


9 


■002 62 


•002 62 


381.97 


1-0000 


51 


11 


•002 91 


•002 91 


343^77 


l-OOOO 


50 


12 


■003'(KI3 (S20 


•003 20 


312.52 


-999 99 


49 






■003 4P 


286.48 


-999 99 


48 


13 




•003 78 


26444 


-999 99 


47 


14 
15 
16 


■M'WSSOl 


•004 07 


245^55 


•999 99 


46 


■(WW 65 36 


•004 36 


22918 


•999 99 


45 






•004 65 


214.86 


-999 99 


44 






•004 95 


202.22 


-999 99 


43 


17 




•005 24 


19098 


-999 99 


42 


18 


iiisy 


•005 53 


180-93 


-999 98 


41 


19 














•005 82 


•005 82 


171.89 


-999 98 


40 


20 


•00611 


•00611 


16370 


-999 98 


39 


3: 


•006 40 


•006 40 


15626 


-999 98 


38 


23 


■006 69 


•006 69 


149.47 


-999 98 


37 


24 


■006 98 


•006 98 


143 24 


-999 98 


36 


25 




•007 27 


13751 


-999 97 


35 


26 


■WW 2! 56 


•007 56 


13222 


-999 97 


34 


27 




•007 85 


12732 


-999 97 


33 


28 


■00]'(IO!85H 


•00^5 


122.77 


•999 97 


32 


29 


•008 44 


•008 44 


11854 


•999 96 


31 


30 


•008 73 


•008 73 


114.59 


•999 96 


30 


31 




•009 02 


11089 


•999 96 


29 


32 


■©■009 E31 


•009 31 


107-43 


•999 96 


28 


33 




•009 60 


104.17 


•999 95 


27 


34 


■wmati 


•009 89 


lOMl 


•999 95 


26 


35 


•010 18 


•01018 


98.218 


-999 95 


25 


36 




•010 47 


95.489 


-9999.5 


24 


37 


■OlOWfiif 


•010 76 


92.908 


-999 94 


23 


38 




■Oil 05 


90-463 


-999 94 


22 


39 


■Oll'Oll 15 3i 


•Oil 35 


88.144 


•999 94 


21 


40 




•01164 


85-940 


-999 93 


20 


41 


■Oll'Oll MS3 


•Oil 93 


83-844 


-999 93 


19 


42 




•012 22 


81-847 


•999 93 


18 


43 


■mm M 


•012 51 


79-943 


•999 92 


17 


44 


•012 80 


•012 80 


78-126 


•999 92 


16 


45 




•013 09 


76-390 


•999 91 


15 


46 


mm IS 38 


•013 38 


74-729 


-999 91 


14 


47 




•013 67 


73139 


-999 91 


13 


48 


■oij'Oo tm 


•013 96 


71.615 


-999 90 


12 


49 


•014 25 


•014 25 


70.153 


•999 90 


11 




•014 54 


•014 55 


68-750 


•999 89 


10 


!t 


•014 83 


•014 84 


67.402 


•999 89 


9 


52 


•015 13 


•015 13 


66 105 


■999 89 


8 


53 




•015 42 


64-858 


•999 88 


7 


54 


■015'Ois n 


•015 71 


63.657 


•999 88 


6 


53 




•016 00 


62-499 


■999 87 


5 


56 '0, 


6'01600 29 


•016 29 


61-383 


■999 87 


4 


57 




•016 58 


60-306 


•999 86 


3 


58-0 


6-016 58 87 


•016 87 


59-266 


•999 86 


2 


59 


•017 16 


•017 16 


58-261 


•999 85 


1 


60 


017 45 


•017 46 


57-290 


•999 8.5 







COS. 


Cot, 


Tan. 


Sin. 



r 


Sin. 


Tan. 


Cot. 


Cos. 


60 





•017 45 


•017 46 


57.290 


-999 85 


1 




•017 75 


56.351 


-999 84 


59 


3 


mmm 


•018 04 


55442 


■999 84 


58 


4 


■01!'0U6232 


•018 33 


54.561 


■999 83 


57 


5 
6 




•018 62 


53.709 


-999 83 


56 


■018'0192091 


•018 91 


52-882 


■999 82 


55 






•019 20 


52.081 


■999 82 


54 


7 




•019 49 


51.303 


■999 81 


53 


8 


■019'0i94918 


•019 78 


50-549 


-999 80 


52 


9 
10 

u 


•020 07 


•020 07 


49.816 


-999 80 


51 


■O20'O2O3665 


•020 36 


49.104 


-999 79 


50 






•02066 


48.312 


-999 79 


49 


12 




•02095 


47.740 


•999 78 


48 


13 


■020'0219423 


•021 24 


47.085 


•999 77 


47 


14 


•021 52 


•021 53 


46.449 


•999 77 


46 


15 




-021 82 


45-829 


•999 76 


45 


16 


■022'021811: 


-022 11 


45.226 


•999 76 


44 






-022 40 


44.639 


•999 75 


43 


17 




-022 69 


44.066 


•999 74 


42 


18 
20 

21 


ffltiaiis 


-022 98 


43-508 


•999 74 


41 


■023'02)562i 


-023 28 


42-964 


•999 73 


40 






-023 57 


42.433 


•999 72 


39 


22 




-023 86 


41.916 


•999 72 


38 


23 


■023'02485H 


-024 15 


41.411 


•999 71 


37 


24 


« ^024 43 


-024 44 


40.917 


•999 70 


36 


25 




-024 73 


40436 


■999 69 


35 


26 


■024'02i!201 


-025 02 


39.965 


■999 69 


34 


27 


•025 30 


-025 31 


39-506 


■999 68 


33 


28 


•025 60 


-025 60 


39057 


■999 67 


32 


29 
}0 
Jl 


•025 89 


-025 89 


38-618 


•999 66 


31 


m>% fi H 


•026 19 


38.188 


•999 66 


30 






•026 48 


37.769 


•9996.5 


29 


32 




-026 77 


37-358 


•999 64 


28 


53 


mm m 


-027 06 


36.956 


•999 63 


27 


34 


•027 34 


-027 35 


36563 


•999 63 


26 


35 


•027 63 


-027 64 


36-178 


•999 62 


25 


56 


•027 92 


-027 93 


35-801 


•999 61 


24 


57 


•028 21 


-028 22 


35-431 


•999 60 


23 


58^ 


-028 50 


-028 51 


35-070 


•999 59 


22 


59 


-028 79 


-028 81 


34-715 


•999 59 


21 


10 


-029 08 


-029 10 


34.368 


-999 58 


20 


« 


-029 38 


-029 39 


34.027 


■999 57 


19 


\1 


•029 67 


•029 68 


33-694 


■999 56 


18 


t3 


•029 96 


•029 97 


33-366 


■999 55 


17 


K 


•030 25 


•030 26 


33045 


■999 54 


16 


15 


•030 54 


-030 55 


32-730 


•999 53 


15 


f6 


•030 83 


-030 84 


32.421 


•999 52 


14 


M 


•031 12 


-031 14 


32-118 


•999 52 


13 


\% 


-031 41 


-031 43 


31.821 


•999 51 


12 


J9 


-031 70 


•031 72 


31-528 


•999 50 


11 


>0 


-031 99 


•032 01 


31.242 


•999 49 


10 


51 


-032 28 


•032 30 


30-960 


■999 48 


9 


52 


•032 57 


•032 59 


30-683 


■999 47 


8 


53 


•032 86 


•032 88 


30.412 


•999 46 


7 


54 


-033 16 


•033 17 


30-145 


•999 45 


6 


>5 


-033 45 


•033 46 


29.882 


•999 44 


5 


56 


-033 74 


-033 76 


29-624 


■999 43 


4 


57 


-034 03 


-0340.5 


29.371 


■999 42 


3 


58 


-034 32 


-034 34 


29.122 


■999 41 


2 


>9 


-034 61 


-034 63 


28.877 


■999 40 


1 


W 


-034 90 

COS. 


•034 92 


28-636 


•999 39 




r 


cot. 


Tan. 


Sin. 



90° (270°) 



\a»-). 



91° (271°) 



91 



(268") 88° 
(Cofi<tnue<{) 



SP; 8 - 1970 



2° (182°) 



TABLE 7A NATURAL FtTNCTIONS- 
(357°^ 177° 3 (183 ) 



-Contd 



(356°) 176 






Sin. 


Tan. 


Cot. 


Cos. 


' 


■034 90 


•034 92 


28.636 


-999 39 


60 


1 


•035 19 


•035 21 


28.399 


-999 38. 


59 


2 


•035 48 


•035 50 


28.166 


-999 37 


58 


3 


•035 77 


■035 79 


27.937 


•999 36 


57 


4 


•036 06 


■036 09 


27.712 


-999 35 


56 


5 


•036 35 


•036 38 


27^490 


-999 34 


55 


6 


•036 64 


■036 67 


27^271 


-999 33 


54 


7 


•036 93 


•036 96 


27^057 


-999 32 


53 


8 


•037 23 


•037 2.5 


26.845 


-999 31 


52 


9 


•037 52 


•037 54 


26.637 


•999 30 


51 


10 


•037 81 


•037 83 


26^432 


•999 29 


50 


11 


•038 10 


•038 12 


26.230 


•999 27 


49 


12 


•038 39 


•038 42 


26.031 


•999 26 


48 


13 


•038 68 


•038 71 


25^835 


•999 25 


47 


14 


•038 97 


•039 00 


25^642 


•999 24 


46 


15 


•039 26 


•039 29 


25452 


-999 23 


45 


16 


•039 55 


•039 58 


25^264 


-999 22 


44 


17 


•039 84 


•039 87 


25^080 


•999 21 


43 


18 


•04013 


•04016 


24.898 


-999 19 


42 


19 


■040 42 


•040 46 


24^719 


-999 18 


41 


20 


■040 71 


•040 7.5 


24.542 


■999 17 


40 


21 


•041 00 


•04104 


24.368 


■999 16 


39 


22 


•041 29 


•041 33 


24.196 


-999 15 


38 


23 


•04159 


•04162 


24.026 


-999 13 


37 


24 


■04188 


•04191 


23.859 


-999 12 


36 


25 


•042 17 


■042 20 


23,695 


-999 11 


35 


26 


■042 46 


■042 50 


23.532 


-999 10 


34 


27 


•042 75 


■042 79 


23-372 


■999 09 


33 


28 


•043 04 


•043 08 


23.214 


■999 07 


32 


29 


•043 33 


•043 37 


23-058 


•999 06 


31 


30 


•043 62 


•043 66 


22-904 


•999 05 


30 


31 


•043 91 


•043 95 


22-752 


•999 04 


29 


32 


•044 20 


■044 24 


22.602 


■999 02 


28 


33 


•044 49 


■044 54 


22.454 


■999 01 


27 


34 


•044 78 


■044 83 


22.308 


•999 00 


26 


35 


•045 07 


•045 12 


22.164 


■998 98 


25 


36 


•045 36 


•045 41 


22.022 


■998 97 


24 


37 


•045 65 


•045 70 


21.881 


■998 96 


23 


38 


•045 94 


•045 99 


21.743 


•998 94 


22 


39 


•046 23 


•046 28 


21.606 


•998 93 


21 


40 


•046 53 


•046 58 


21.470 


•998 92 


20 


41 


•046 82 


•046 87 


21-337 


•998 90 


19 


42 


■04711 


•047 16 


21-205 


•998 89 


18 


43 


■047 40 


•047 45 


21-075 


•998 88 


17 


44 


■047 69 


■047 74 


20.946 


•998 86 


16 


45 


■047 98 


■048 03 


20.819 


•998 85 


15 


46 


■048 27 


■048 33 


20.693 


•998 83 


14 


47 


■048 56 


■048 62 


20.569 


•998 82 


13 


48 


•048 85 


■048 91 


20.446 


•998 81 


12 


49 


■049 14 


■049 20 


20.325 


•998 79 


11 


50 


•049 43 


■04949 


20.206 


•998 76 


10 


51 


•049 72 


•049 78 


20087 


•998 76 


9 


52 


•050 01 


•050 07 


19-970 


•998 75 


8 


53 


■050 30 


•050 37 


19.885 


•998 73 


7 


54 


■050 59 


•050 66 


19.740 


•998 72 


6 


55 


■050 88 


•050 95 


19-627 


•998 70 


5 


56 


■051 17 


•051 24 


19516 


•998 69 


4 


57 


■051 46 


■051 53 


19405 


•998 67 


3 


58 


■051 75 


•05182 


19.296 


•998 66 


2 


59 


■0520.5 


•052 12 


19.188 


■998 64 


1 


60 


■052 34 


•052 41 


19-081 


•998 63 







Cos. 


cot. 


Tan: 


Sin. 


' 



/ 


Sin. 


Tan. 


Cot. 


Cos. 


/ 





■052 34 


•052 41 


19081 


■998 63 


60 


1 


•052 63 


■052 70 


18.976 


■998 61 


59 


2 


•052 92 


■052 99 


18.871 


■998 60 


58 


3 


•053 21 


■053 28 


18.768 


■998 58 


57 


4 


•053 50 


■053 57 


18^666 


■998 57 


56 


5 


•053 79 


■053 87 


18^564 


■998 55 


55 


6 


•054 08 


■054 16 


18-464 


•998 54 


54 


7 


•054 37 


■054 45 


18-366 


■998 52 


53 


8 


•054 66 


■054,74 


18-268 


•998 51 


52 


9 


•054 95 


■055 03 


18.171 


•998 49 


51 


10 


•055 24 


■055 33 


18075 


-998 47 


50 


11 


•055 53 


055 62 


17.980 


-998 46 


49 


12 


•055 82 


•055 91 


17-886 


•998 44 


48 


13 


•056 11 


■056 20 


17.793 


•998 42 


47 


14 


•056 40 


■056 49 


17-702 


•998 41 


46 


15 


•056 69 


■056 78 


17.611 


•998 39 


45 


16 


•056 98 


•057 08 


17.521 


•998 38 


44. 


17 


•057 27 


•057 37 


17.431 


■998 36 


43 


18 


•057 56 


•057 66 


17-343 


•998 34 


42 


19 


■0578.5 


•057 95 


17.256 


-998 33 


41 


20 


■058 14 


•058 24 


17.169 


-998 31 


40 


21 


■058 44 


•058 54 


17.084 


-998 29 


39 


22 


-058 73 


•058 83 


16.999 


-998 27 


38 


23 


-059 02 


•059 12 


16-915 


•998 26 


37 


24 


-059 31 


■059 41 


16.832 


-998 24 


36 


25 


-059 60 


■059 70 


16-750 


-998 22 


35 


26 


-059 89 


■059 99 


16-668 


-998 21 


34 


27 


-060 18 


■060 29 


16^587 


-998 19 


33 


28 


-060 47 


■060 58 


16^507 


-998 17 


32 


29 


-060 76 


■060 87 


16^428 


-9981.5 


31 


30 


-061 05 


■061 16 


16.350 


-998 13 


30 


31 


-061 34 


■061 45 


16.272 


-998 12 


29 


32 


-061 63 


■061 75 


16.195 


-998 10 


28 


33 


-061 92 


•062 04 


16.119 


-998 08 


27 


34 


-062 21 


■062 33 


16 '043 


-998 06 


26 


35 


-062 50 


•062 62 


15^969 


-998 04 


25 


36 


-062 79 


■062 91 


15^895 


-998 03 


24 


37 


-063 08 


■063 21 


15^821 


-998 01 


23 


38 


-063 37 


■063 50 


15.748 


-997 99 


22 


39 


-063 66 


•063 79 


15'676 


-997 97 


21 


40 


-063 95 


■064 08 


15^605 


-997 95 


20 


41 


■064 24 


■064 38 


15^534 


-997 93 


19 


42 


■064 53 


■064 67 


15.464 


■997 92 


18 


43 


■064 82 


■064 96 


15.394 


■997 90 


17 


44 


■065 11 


■065 25 


15.325 


■997 88 


16 


45 


■065 40 


,065 54 


15^257 


■997 86 


15 


46 


■065 69 


■065 84 


15.189 


■997 84 


14 


47 


-065 98 


■066 13 


15.122 


-997 82 


13 


48 


-066 27 


■066 42 


15056 


-997 80 


12 


49 


-066 56 


■066 71 


14.990 


-997 78 


11 


50 


■066 85 


■067 00 


14.924 


-997 76 


10 


51 


■067 14 


■067 30 


14.860 


-997 74 


9 


52 


■067 43 


■067 59 


14.795 


-997 72 


8 


53 


■067 73 


■067 88 


14.732 


-997 70 


7- 


54 


■068 02 


■068 17 


14.669 


-997 68 


6 


55 


■068 31 


■068 47 


14606 


-997 66 


5 


56 


•068 60 


•068 76 


14.544 


-997 64 


4 


57 


•088 89 


•069 05 


14.482 


■997 62 


3 


58 


•069 18 


•069 34 


I4^:2i 


-997 60 


2 


59 


■069 47 


•069 63 


14.361 


-997 58 


1 


60 


-069 76 


0-69 93 


14301 


-997 56 





• 


Cos. 


Cot. 


Tan. 


Sin. 



yr- xnr') 



'(267) vr 93° (273°) 



(266°) 86° 



92 



[Continued] 



SP 8-1970 



4° (184°'t 



TABLE 7A NATURAL FUNCTIONS —Contd 
(355°) 175 5° (185°) 



(354°) 174' 



' 


Sin. 


Tan. 


Cot. 


Cos. 


/ 





•069 76 


•069 93 


14^301 


■997 56 


60 


1 


•070 05 


•070 22 


14-241 


•997 54 


59 


2 


•070 34 


•070 51 


14.182 


•997 52 


58 


3 


•070 63 


■070 80 


14.124 


•997 SO 


57 


4 


■070 92 


■071 10 


14.065 


•997 48 


56 


5 


•071 21 


•071 39 


14.008 


•997 46 


55 


6 


•071 50 


•071 68 


13.951 


•997 44 


54 


7 


•071 79 


•071 97 


13.894 


•997 42 


S3 


8 


•072 08 


•072 27 


13.838 


•997 40 


52 


9 


•072 37 


•072 56 


13.782 


•997 38 


51 


10 


•072 66 


•072 85 


13.727 


•997 36 


50 


11 


•072 95 


•073 14 


13-672 


•997 34 


49 


12 


•073 24 


•073 44 


13-617 


•997 31 


48 


13 


•073 S3 


•073 73 


13.563 


•997 29 


47 


14 


•073 82 


•074 02 


13510 


•997 27 


46 


15 


•074 11 


•074 31 


13.457 


•997 25 


45 


16 


•07440 


•074 61 


13,404 


•997 23 


44 


17 


•074 69 


•074 90 


13-352 


•99721 


43 


18 


•074 98 


•075 19 


13-300 


•997 19 


42 


19 


•075 27 


•075 48 


13.248 


•997 16 


41 


20 


•075 56 


•075 78 


13.197 


•997 14 


40 


21 


•075 85 


•076 07 


13146 


•997 12 


39 


22 


•076 14 


•076 38 


13 096 


•997 10 


38 


23 


•076 43 


•076 65 


13-046 


■997 08 


37 


24 


•076 72 


•076 95 


12.996 


■997 05 


36 


25 


•077 01 


■077 24 


12.947 


•997 03 


35 


26 


•077 30 


■077 53 


12.898 


•997 01 


34 


27 


•077 59 


■077 82 


12.850 


•996 99 


33 


28 


•077 88 


■078 12 


12,801 


•996 96 


32 


29 


•078 17 


■078 41 


12.754 


•996 94 


31 


30 


•078 46 


■078 70 


12-706 


•996 92 


30 




•078 75 


■078 99 


12.659 


■996 89 


29 




•079 04 


■079 29 


12,612 


■996 87 


28 




•079 33 


■079 58 


12.566 


■996 85 


27 




•079 62 


■079 87 


12520 


■996 83 


26 


35 


■079 91 


■080 17 


12.474 


■996 80 


25 


36 


•080 20 


■080 46 


12.429 


•996 78 


24 


37 


•080 49 


•080 75 


12.384 


•996 76 


23 


38 


■080 78 


•08104 


12339 


•996 73 


22 


39 


•081 07 


•081 34 


12.295 


•996 71 


21 


40 


■081 36 


•081 63 


12-251 


•996 68 


20 


41 


■081 65 


■081 92 


12-207 


•996 66 


19 


42 


•081 94 


•082 21 


12.163 


•996 64 


18 


43 


■082 23 


■082 51 


12.120 


■996 61 


17 


44 


•082 52 


■082 80 


12.077 


■996 59 


16 


45 


•082 81 


•083 09 


12035 


■996 57 


15 


46 


■083 10 


■083 39 


11.992 


■996 54 


14 


47 


■083 39 


■083 68 


11-950 


■996 52 


13 


48 


•083 68 


•083 97 


11-909 


•996 49 


12 


49 


■083 97 


•084 27 


11.867 


■996 47 


11 


50 


■084 26 


•084 56 


11826 


■996 44 


10 


51 


■084 55 


•084 85 


11785 


•996 42 


9 


52 


■084 84 


•085 14 


11^745 


•996 39 


8 


53 


■085 13 


•085 44 


11^705 


•996 37 


7 


54 


■085 42 


■085 73 


11-664 


■996 3 5 


6 


55 


•085 71 


■086 02 


11 '625 


•996 32 


5 


56 


•086 00 


•086 32 


11^585 


•996 30 


4 


57 


•086 29 


■086 61 


11.546 


-996 27 


3 


58 


•086 58 


•086 90 


11-507 


•996 25 


2 


59 


•086 87 


•087 20 


11-468 


•996 22 


1 


60 


•087 16 


•087 49 


11.430 


•996 19 





COS. 


Cot. 


Tan. 


Sin. 





' 


Sin. 


Tan. 


Cot. 


Cos. 


f 

60 





•087 16 


■087 49 


11.430 


•996 19 


1 


•087 45 


■087 78 


11.392 


•996 17 


59 


2 


•087 74 


•088 07 


11-354 


•996 14 


58 


3 


•08? 03 


•088 37 


11-316 


•996 12 


57 


4 


•088 3: 


•088 66 


11.279 


•996 09 


56 


5 


•088 60 


•088 95 


11.242 


■996 07 


55 


6 


•088 89 


•089 25 


11205 


•996 04 


54 


7 


•089 18 


•089 54 


11168 


•996 02 


53 


8 


•089 47 


•089 83 


11132 


•995 99 


52 


9 


•089 76 


•09013 


11095 


•995 96 


51 


10 


•090 05 


•09042 


11059 


•995 94 


50 


11 


•090 34 


•090 71 


11 024 


•995 91 


49 


12 


-090 63 


•091 01 


10988 


•995 88 


48 


13 


-090 92 


•091 30 


10-953 


•995 86 


47 


14 


•091 21 


•091 59 


10-918 


•995 83 


46 


15 


-091 50 


•091 89 


10.883 


•995 80 


45 


16 


-091 79 


•092 18 


10.848 


•995 78 


44 


17 


-092 08 


•092 47 


10-814 


•995 75 


43 


18 


-092 37 


•092 77 


10-780 


-995 72 


42 


19 


-092 66 


■093 06 


10.746 


-995 70 


41 


20 


•092 95 


■093 35 


10.712 


-995 67 


40 


21 


•093 24 


•093 65 


10-678 


•995 64 


39 


22 


■093 53 


•093 94 


10.645 


•995 62 


38 


23 


•093 82 


•094 23 


10612 


•995 59 


37 


24 


•094 11 


•094 53 


10.579 


•995 56 


36 


25 


•094 40 


•094 82 


10.546 


•995 53 


35 


26 


•094 69 


■095 11 


10.514 


•995 51 


34 


27 


•094 98 


■095 41 


10.481 


•995 48 


33 


28 


■095 27 


■095 70 


10449 


•99.S 45 


32 


29 


•095 56 


■096 00 


10.417 


•995 42 


31 


30 


•095 85 


■09629 


10.385 


■995 40 


30 


31 


•096 14 


■096 58 


10354 


■995 37 


29 


32 


■096 42 


•096 88 


10322 


•995 34 


28 


33 


■096 71 


■097 17 


10.291 


•995 31 


27 


34 


■097 00 


•097 46 


10.260 


•995 28 


26 


35 


•097 29 


•097 76 


10229 


•995 26 


2.5 


36 


•097 58 


•098 05 


10199 


•995 23 


24 


37 


■097 87 


■098 34 


10.168 


•995 20 


23 


38 


■098 16 


•098 64 


10138 


•995 17 


22 


39 


■098 45 


•098 93 


10^108 


•995 14 


21 


40 


•098 74 


•099 23 


10.078 


•995 11 


20 


41 


■099 03 


•099 52 


10.048 


•995 08 


19 


42 


■099 32 


•099 81 


10019 


•995 06 


18 


43 


■099 61 


•10011 


9.989 3 


,995 03 


17 


44 


■099 90 


•100 40 


9.960 1 


•995 00 


16 


45 


•100 19 


•100 69 


9.931 


•994 97 


15 


46 


•10048 


•100 99 


9.902 1 


•994 94 


14 


47 


•100 77 


•10128 


9.873 4 


•994 91 


13 


48 


•101 06 


•101 58 


9.844 8 


•994 88 


12 


49 


•10135 


•10187 


9.816 4 


•994 85 


11 


50 


•101 64 


•102 16 


9.788 2 


•994 82 


10 


51 


•101 92 


•102 46 


9.760 1 


,994 79 


9 


52 


•102 21 


•102 75 


9-732 2 


•994 76 


8 


53 


•102 50 


•103 05 


9704 4 


•994 73 


7 


54 


•102 79 


•103 34 


9.676 8 


•994 70 


6 


55 


•103 08 


•103 63 


9.694 3 


•994 67 


5 


56 


•103 37 


■103 93 


9.622 


•994 64 


4 


57 


•103 66 


■104 22 


9.594 9 


•994 61 


3 


58 


•103 95 


•104 52 


9.567 9 


•994 58 


2 


59 


■104 24 


•104 81 


9.541 1 


•994 55 


1 


60 


■104 53 


•105 10 


9.514 4 


•994 52 





' 


Cos. 


Cot. 


Tan. 


Sin. 





V»- U74") 



(265 ) 85" 



95° (275 ) 



(264 84 



93 



{Continued\ 



SP: 8 - 1970 



6" (186°) 



TABLE 7A NATURAL FUNCTIONS 

(353°) 173" 7° (187") 



Contd 



(352") 172° 



' 


Sin. 


Tan. 


Cot. 


Cos. 


60 





•104 53 


•105 10 


9-514 4 


-994 52 


1 




•105 40 


9.487 8 


-994 49 


59 


2 


■KM'IOS 1! 11 


•105 69 


9.461 4 


-994 46 


58 


3 




•105 99 


9-435 2 


•994 43 


57 


4 


■10i«(01! 


•106 28 


9.409 


•994 40 


5 6 


5 


•105 97 


•106 57 


9-383 1 


•994 37 


55 


6 


•106 26 


•106 87 


9^357 2 


•994 34 


54 


7 


•106 55 


•107 16 


9-331 5 


•994 31 


S 3 


8 


•106 84 


•107 46 


9-306 


•994 28 


52 


9 


•107 13 


•107 75 


9-280 6 


•994 24 


51 


10 


•107 42 


•108 05 


9.255 3 


•994 21 


50 


11 


•107 71 


•108 34 


9-230 2 


•994 18 


49 


12 


•108 00 


•108 63 


9-205 2 


•994 15 


48 


13 


•108 29 


•108 93 


9.180 3 


•994 12 


47 


14 


•108 58 


•109 22 


9-155 5 


•994 09 


46 


15 


•108 87 


•109 52 


9.130 9 


•994 06 


45 


16 


•109 16 


•109 81 


9.106 5 


•994 02 


44 


17 


•109 45 


•11011 


9082 1 


•993 99 


43 


18 


•109 73 


•11040 


9.057 9 


•993 96 


42 


19 


•110 02 


•110 70 


9.033 8 


•993 93 


41 


20 


•110 31 


•110 99 


9-009 8 


•993 90 


40 


21 


•11060 


•11128 


8.986 


•993 86 


39 


22 


•110 89 


•11158 


8.962 3 


•993 83 


38 


23 


•111 18 


•11187 


8-938 7 


•993 80 


37 


24 


•11147 


•112 17 


8-915 2 


•993 77 


36 


25 


•111 76 


•11246 


8.891 9 


•993 74 


35 


26 


•112 05 


•112 76 


8.868 6 


-993 70 


34 


27 


•112 34 


•113 05 


8.845 5 


•993 67 


33 


28 


•112 63 


■113 35 


8.822 5 


•993 64 


32 


29 


•112 91 


•113 64 


8.799 6 


•993 60 


31 


30 


•113 20 


•113 94 


8.776 9 


•993 57 


30 


31 


•113 49 


•114 23 


8.754 2 


-993 54 


29 


32 


•113 78 


•11452 


8.731 7 


-993 51 


28 


33 


•114 07 


•114 82 


8 709 3 


•V93 47 


27 


34 


•114 36 


•11511 


8.687 


•993 44 


26 


35 


•114 6,5 


•115 41 


8-664 8 


•993 41 


25 


36 


•114 94 


•lis 70 


8-642 7 


•993 37 


24 


37 


•115 23 


•116 00 


8.6208 


•993 34 


23 


38 


•115 52 


•116 29 


8.598 9 


•993 31 


22 


39 


•115 80 


•116 59 


8-577 2 


•993 27 


21 


40 


•116 09 


•116 88 


8.555 5 


•993 24 


20 


41 


•116 38 


•117 18 


8.534 


■993 20 


19 


42 


•116 67 


•117 47 


8.512 6 


■993 17 


18 


43 


•116 96 


•117 77 


8-491 3 


•993 14 


17 


44 


•117 25 


•118 06 


8.470 1 


•993 10 


16 


45 


•117 54 


•118 36 


8.449 


•993 07 


15 


46 




•118 65 


8.428 


•993 03 


14 


47 


■118'1I7I!1! 


•118 95 


8-407 1 


•993 00 


13 


48 


•118 40 


•119 24 


8.386 3 


•992 97 


12 


49 


•118 69 


■119 54 


8.365 6 


-992 93 


11 


50 


•118 98 


•119 83 


8.345 


-992 90 


10 


ei 


•119 27 


•120 13 


8-324 5 


-992 86 


9 


52 


•119 56 


•120 42 


8-304 1 


-992 83 


8 


■;.■? 


■11985 


•120 72 


8.283 8 


•992 79 


7 


54 


•12014 


•121 01 


8.263 6 


•992 76 


6 


55 


•120 43 


•12131 


8.243 4 


•992 72 


5 


56 


•120 71 


•121 60 


8.223 4 


•992 69 


4 


57 


•121 00 


•121 90 


8.203 5 


•992 65 


3 


58 


•121 29 


•122 19 


8.183 7 


•992 62 


2 


59 


•121 58 


•122 49 


8.164 


•992 58 


1 


60 


•121 87 


•122 78 


8.144 3 


•992 55 





I 


COS. 


cot. 


Tan. 


Sin. 


96" C 


276") 






(263 


°; 83 



f 


Sin. 


Tan. 


Cot 


Cos. 


r 





•121 87 


•122 78 


8.144 3 


-992 55 


60 


1 


•122 16 


■123 08 


8124 8 




59 


2 


•122 45 


■123 38 


8.105 4 


•992 SB 


58 


3 


-122 74 


•123 67 


8086 


•992 44 


57 


4 


-123 02 


•123 97 


8-066 7 


•992 40 


56 


5 


-123 31 


•124 26 


8047 6 


•992 37 


55 




•123 60 


•124 56 


8.028 5 


•992 33 


54 


4 


•123 89 


•124 85 


8.009 5 


■992 30 


53 


8 


•124 18 


•125 15 


7-990 6 


■992 26 


52 


9 


•124 47 


•125 44 


7.971 8 


•992 22 


51 


10 


•124 76 


•125 74 


7.953 


•992 19 


USD 


11 


•125 04 


•126 03 


7.934 4 


•99215 




12 


•125 33 


•126 33 


7.915 8 


■992 11 


48 


13 


-125 62 


•126 62 


7.897 3 


■992 08 


47 


14 


-125 91 


•126 92 


7.878 9 


■992 04 


46 


15 


■126 20 


•127 22 


7.860 6 


•992 00 


45 


16 


•126 49 


•127 51 


7-842 4 


•991 97 


44 


17 


■126 78 


■127 81 


7-824 3 


•991 93 


43 


18 


•127 06 


•128 10 


7.806 2 


•991 89 


42 


19 


•127 35 


■128 40 


7.788 2 


•991 86 


41 


20 


•127 64 


■128 69 


7-770 4 


•991 82 


40 


21 


■127 93 


■128 99 


7^752 5 


•991 78 


39 


22 


•128 22 


■129 29 


7.734 8 


-991 75 


38 


23 


•128 51 


■129 58 


7.717 1 


■ni) 


37 


24 


•128 80 


•129 88 


7.699 6 


36 


25 


•129 08 


•13017 


7.682 1 


-991 63 




26 


•129 37 


•1 30 47 


7664 7 


-991 60 


J) 


27 


•129 66 


•130 76 


7-647 3 


:^^1 \\ 


H33 


28 


■129 95 


•13106 


7.630 1 


32 


29 


■130 24 


•13136 


7.612 9 


•991 48 


31 


30 


•130 53 


•131 65 


7.595 8 


•991 44 


30 


31 


•130 81 


•13195 


7.578 7 


•991 41 


29 


32 


•13110 


•132 24 


7-561 8 


•991 37 


28 


33 


•13139 


•132 54 


7.544 9 


•991 33 


27 


34 


■131 68 


•1 32 84 


7.528 1 


•991 29 


26 


35 


•13197 


•133 13 


7.511 3 


•991 25 


25 


36 


■132 26 


•133 43 


7.494 7 


•991 22 


24 


37 


■132 54 


•133 72 


7.478 1 


•991 18 


23 


38 


-1:2 83 


•134 02 


7-451 5 


•991 14 


22 


39 


-133 12 


•134 32 


7-445 1 


■991 10 


21 


40 


-133 41 


•134 61 


7.428 7 


■991 06 


20 


41 


■133 70 


•134 91 


7-412 4 


■991 02 


19 


42 


■133 99 


•135 21 


7.396 2 


•990 98 


18 


43 


134 27 


•135 50 


7.380 


■990 94 


17 


44 


■134 56 


■135 80 


7.353 9 


•990 91 


I 6 


45 


■134 85 


•136 09 


7.347 9 


•990 87 


15 


+6 


■135 14 


■136 39 


7.331 9 


•990 83 


14 


M 


■135 43 


•136 69 


7.316 


•990 79 


13 


^8 


•135 72 


•136 98 


7.300 2 


•990 75 


I 2 


19 


•136 00 


■137 28 


7.284 4 


•990 71 


11 


50 


■136 29 


■137 58 


7.268 7 


•990 67 


10 


51 


■136 58 


■137 87 


7.253 1 


•990 63 


9 


52 


■136 87 


■138 17 


7.237 5 


•990 59 


8 


53 


■1371-6 


•138 46 


7.222 


•990 55 


7 


54 


■137 44 


•138 76 


7-206 6 


•990 51 


6 


55 


•137 73 


•139 06 


7.191 2 


-990 47 


5 


56 


■138 02 


•139 35 


7-175 9 


-990 43 


4 


57 


■138 31 


•139 65 


7.160 7 


-990 39 


3 


58 


■138 60 


•139 95 


7-145 5 


•990 35 


2 


59 


•138 89 


•140 24 


7.130 4 


•990 31 


1 


M> 


•139 17 


•140 54 


7-1154 


•990 27 


t 


1 


Cos. 


Cot. 


Tan. 


Sin. 



f [Trr') 



94 



(262") 82 
(Continued) 



SP: 8 - 1970 



8° (188°) 



TABLE 7A NATURAL 

(351 ) 171 



FUNCTIONS 
9' (189°) 



. Contd 



(350°) 170° 



f 


Sin. 


Tan. 


Cot. 


COS. 


' 





•13917 


•140 54 


7.115 4 


•990 27 


60 


1 


•139 46 


•140 84 


7^1004 


•990 23 


59 


2 


•13975 


•14113 


7085 5 


•990 19 


58 


3 


•140 04 


•141 43 


7.070 6 


•99015 


57 


4 


•140 33 


•141 73 


7.055 a 


•99011 


56 


5 


•140 61 


•142 02 


70410 


•990 06 


55 


6 


•140 90 


•142 32 


7026 4 


•99002 


54 


7 


•141 19 


•142 62 


7011 7 


•989 98 


53 


8 


•14148 


•142 91 


6997 2 


•989 94 


52 


9 


•141 77 


•143 21 


6982 7 


•989 90 


51 


10 


•142 05 


•143 51 


6.968 2 


•989 86 


50 


11 


•142 34 


•143 81 


6.953 8 


•989 82 


49 


12 


•142 63 


•144 10 


6.939 5 


•989 78 


48 


13 


•142 92 


•144 40 


6.925 2 


•989 73 


47 


14 


•143 20 


•144 70 


6.911 


•989 69 


46 


15 


•143 49 


•144 99 


6896 9 


•989 65 


45 


16 


•143 78 


•145 29 


6882 8 


•989 61 


44 


17 


•144 07 


•145 59 


6-868 7 


•989 57 


43 


18 


•144 36 


•145 88 


6.854 8 


•989 53 


42 


19 


•144 64 


•146 18 


6.840 8 


•989 48 


41 


20 


•144 93 


•146 48 


6.826 9 


•989 44 


40 




•145 22 


•146 78 


6.813 1 


•989 40 


39 


4: 


•145 51 


•147 07 


6.799 4 


•989 36 


38 


23 


•145 80 


•147 37 


6.785 6 


•989 31 


37 


24 


•146 08 


•147 67 


6.772 


•989 27 


36 


25 


•146 37 


•147 96 


6.758 4 


•989 23 


35 


26 


•146 66 


•148 26 


6.744 8 


•989 19 


34 


27 


•146 95 


•148 56 


6.731 3 


■989 14 


33 


28 


•147 23 


•148 86 


6.717 9 


•989 10 


32 


29 


•147 52 


•14915 


6-704 5 


•989 06 


31 


30 


•147 81 


•149 45 


6.691 2 


•989 02 


30 


31 


•148 10 


•149 75 


6.677 9 


■988 97 


29 


32 


•148 38 


•150 05 


6.664 6 


•988 93 


28 


33 


•148 67 


•150 34 


6.651 4 


•988 89 


27 


34 


•148 96 


•150 64 


6.638 3 


•988 84 


26 


35 


•149 25 


•150 94 


6.625 2 


•988 80 


25 


36 


•149 54 


•15124 


6.612 2 


•988 76 


24 


37 


•149 82 


•15153 


6599 2 


•988 71 


23 


38 


•15011 


•151 83 


6.586 3 


•988 67 


22 


39 


•150 40 


•15213 


6^573 4 


•988 63 


21 


40 


•150 69 


•152 43 


6.560 6 


•988 58 


20 


41 


•150 97 


•152 72 


6.547 8 


•988 54 


19 


42 


•15126 


•153 02 


6.535 


•988 49 


18 


43 


•1315.5 


•153 32 


6.522 3 


•988 45 


17 


44 


•151 a4 


•153 62 


6.509 7 


•988 41 


16 


45 


•15212 


•153 91 


6.497 1 


•988 36 


15 


46 


•152 41 


■15421 


6.484 6 


■988 32 


14 


47 


•152 70 


•154 51 


6.472 1 


•988 27 


13 


48 


•152 99 


•154 81 


6.459 6 


•988 23 


12 


49 


•153 27 


•15511 


6.447 2 


•988 18 


11 


50 


•153 56 


•155 40 


6.434 8 


•988 14 


10 


51 


•153 85 


•155 70 


6422 5 


•988 09 


9 


52 


•15414 


•156 00 


6^410 3 


•988 05 


8 


53 


•154 42 


•156 30 


6.398 


•988 00 


7 


54 


•154 71 


•156 60 


6.385 9 


•987 96 


6 


55 


•155 00 


•156 89 


6.373 7 


•987 91 


5 


56 


•155 29 


•15719 


6.361 7 


•987 87 


4 


57 


•155 57 


•157 49 


6.349 6 


•987 82 


3 


58 


■155 86 


•157 79 


6.337 6 


•987 78 


2 


59 


•15615 


•158 09 


6.325 7 


•987 73 


1 


60 


•156 43 


•158 38 


6.313 8 


•987 69 





/ 


Cos. 


Cot. 


Tan. 


Sin. 


' 



r 


Sin. 


Tan. 


Cot. 


Cos. 


' 





•156 43 


•158 38 


6.313 8 


■987 69 


60 


1 


■156 72 


•158 68 


6301 9 


•987 64 


59 


2 


■157 01 


•158 98 


6290 1 


•987 60 


58 


3 


•l.'^7 30 


•159 28 


6.278 3 


•987 55 


57 


4 


•157 58 


•159 58 


6.266 6 


•987 51 


56 


5 


■157 87 


•159 88 


6254 9 


•987 46 


55 


6 


•15816 


•160 17 


6-243 


•987 41 


54 


7 


•158 45 


•16047 


6-231 a 


•987 37 


53 


8 


•158 73 


•160 77 


6.220 


•987 32 


52 


9 


•159 02 


•161 07 


6.208 5 


•987 28 


51 


10 


•159 31 


•16137 


6.197 


•987 23 


50 


11 


•159 59 


•16167 


6185 


•987 18 


+9 


12 


■159 88 


•161 96 


6^174 4 


•987 14 


^8 


13 


•16017 


•162 26 


6.162 8 


•987 09 


47 


14 


■160 46 


•162 56 


6.151 5 


•987 04 


46 


15 


•160 74 


■162 86 


6140 2 


•987 00 


45 


16 


•16103 


•163 16 


6.129 


•986 95 


4+ 


17 


•16132 


•163 46 


6.117 8 


•986 90 


43 


18 


•161 60 


•163 76 


6.106 6 


•986 86 


42 


19 


•16189 


•164 05 


6.095 5 


•986 81 


41 


20 


■162 18 


•164 35 


6.084 4 


•986 76 


40 


21 


■162 46 


•164 65 


6073 4 


■986 71 


39 


22 


■162 75 


•164 95 


6062 4 


•986 67 


38 


23 


•163 04 


•165 25 


6.051 4 


•986 62 


37 


24 


■163 33 


•165 55 


6^040 5 


•986 57 


36 


25 


■163 61 


•165 85 


6.029 6 


•986 52 


35 


26 


•163 90 


•16615 


6018 8 


•986 48 


34 


27 


•164 19 


•166 45 


6008 


■986 43 


33 


28 


■164 47 


•166 74 


5 997 2 


•986 38 


32 


29 


■164 76 


■167 04 


5.986 5 


■986 33 


31 


30 


•165 05 


•167 34 


5.975 a 


•986 29 


30 


31 


•165 33 


•167 64 


5.965 1 


•986 24 


29 


32 


•165 62 


-167 94 


5.954 5 


■986 19 


28 


33 


•165 91 


•168 24 


5.943 9 


■986 14 


27 


34 


■166 20 


■168 54 


5.933 3 


•986 09 


26 


35 


•166 48 


■168 84 


5.922 8 


•986 04 


25 


36 


•166 77 


■16914 


5.912 4 


•986 00 


24 


37 


•167 06 


■169 44 


5^901 9 


•985 95 


23 


38 


•167 34 


•169 74 


5.891 5 


•985 90 


22 


39 


•167 63 


•170 04 


5.881 1 


•985 85 


21 


40 


•167 92 


•170 33 


5-870 8 


•985 80 


20 


41 


■168 20 


•170 63 


5-860 5 


•985 75 


19 


42 


•168 49 


•170 93 


5.850 2 


■985 70 


18 


43 


•168 78 


•17123 


5^840 


■985 65 


17 


44 


•169 06 


•17153 


5.829 8 


■985 61 


16 


45 


•169 35 


•17183 


5.819 7 


•985 56 


15 


46 


•169 64 


•17213 


5 809 5 


•985 51 


14 


47 


•169 92 


•172 43 


5.799 4 


•985 46 


13 


48 


•17021 


•172 73 


5^789 4 


•985 41 


12 


49 


•170 50 


•173 03 


5-779 4 


•985 36 


11 


50 


•170 78 


•173 33 


5-769 4 


•985 31 


10 


51 


•17107 


•173 63 


5-759 4 


•985 26 


9 


52 


•17136 


■173 93 


5.749 5 


•985 21 


8 


53 


•17164 


■174 23 


5.739 6 


•985 16 


7 


54 


•17193 


.■174 53 


5.729 7 


•985 11 


6 


55 


•172 22 


■174 83 


5.719 9 


■985 06 


5 


56 


•172 50 


•175 is 


5-7101 


■985 01 


4 


57 


•172 79 


•175 43 


5.700 4 


■984 96 


3 


58 


■173 08 


•175 73 


5-690 6 


■984 91 


2 


59 


■173 36 


•176 03 


5-680 9 


•984 86 


1 


60 


•173 65 


■176 33 


5.671 3 


•984 81 





/ 


Cos. 


Cot. 


Tan. 


Sin. 


' 



98° (278 ) 



(261 ) 81° 99° (279 ) 



95 



(26C 80° 
(Continued) 



SP: 8 - 1970 



10 {190°) 



TABLE 7A NATURAL 
(349 ) 169 



FUNCTIONS 
11 (191°) 



- Contd 



(348 ) 168" 



r 






Tan. 


Cot. 


Cos. 


60 


•173 65 


•176 33 


5.671 3 


-984 81 


1 


•173 93 


■176 63 


5.661 7 


•984 76 


59 


2 


•174 22 


■176 93 


5.652 1 


•984 71 


58 


3 


■174 51 


■177 23 


5.642 5 


•984 66 


57 


4 


•174 79 


•177 53 


5.632 9 


-984 61 


56 


5 


•175 08 


•177 83 


5.623 4 


•984 55 


55 


6 


•175 37 


•17813 


5-614 


•894 50 


54 


7 


•175 65 


•178 43 


5-604 5 


■984 45 


53 


8 


•175 94 


■178 73 




■984 40 


52 


9 


•176 23 


•179.03 


§-5%^S t 


■984 35 


51 


10 


•176 51 


•179 33 


5.576 4 


■984 30 


50 


11 


•176 80 


•179 63 


5-567 1 


•984 25 


49 


12 


•177 08 


•179 93 


5.557 8 


•984 20 


48 


13 


•177 37 


•180 23 


5.548 5 


•984 14 


47 


14 


•177 66 


•180 53 


5.539 3 


•984 09 


46 


15 


•177 94 


•180 83 


5.530 1 


■984 04 


45 


16 


•178 23 


■18113 


5-520 




44 


17 


•178 52 


■18143 


5^511 8 


•983-983 m 


43 


18 


•178 80 


•181 73 


5.502 6 


■983 89 


42 


19 


•179 09 


•182 03 


5.493 6 


■983 83 


41 


20 


•179 37 


■182 33 


5^484 5 


•983 78 


40 


21 


•179 66 


■182 63 


5-475 5 


•983 73 


39 


22 


■179 95 


■182 93 


5 466 5 


•983 68 


38 


23 


•180 23 


■183 23 


5.457 5 


•983 62 


37 


24 


•180 52 


■183 53 


5^448 6 


•983 57 


36 


25 


•180 81 


■183 84 


5.439 7 


•983 52 


35 


26 


■18109 


■184 14 


5^430 8 


■983 47 


34 


27 


■18138 


■184 44 


5^421 9 


■983 41 


33 


28' 


■181 66 


■184 74 


5.413 1 


■983 36 


32 


29 


•18195 


■185 04 


5-404 3 


■983 31 


31 


30 


■182 24 


■18S34 


5.395 5 


■983 2.5 


30 


31 


■182 52 


■185 64 


5-386 8 




29 


32 


■182 81 


■185 94 


pm 


%% JBIJ 


28 


33 


■183 09 


■186 24 


■983 10 


27 


34 


•183 38 


•186 54 


5-360 7 


■983 04 


26 


35 


■183 67 


■186 84 


5.352 1 


■982 99 


25 


36 


•183 95 


■18714 


5.343 5 


■982 94 


24 


37 


•184 24 


■187 45 


5.334 9 


■982 88 


23 


38 


•184 52 


•187 75 


5.326 3 


■982 83 


22 


39 


■184 81 


•188 05 


5.317 8 


■982 77 


21 


40 


■185 09 


■188 35 


5^309 3 


•982 72 


20 


41 


■185 38 


■188 65 


5300 8 


■982 67 


19 


42 


■185 67 


•188 95 


5.292 4 


■982 61 


18 


43 


■185 95 


•189 25 


5^283 9 


■982 56 


17 


44 


■186 24 


■189 55 


5^275 5 


■982 50 


16 


45 


■186 52 


■189 86 


5.267 2 


■982 45 


15 


46 


■186 81 


■19016 


5.258 8 


■982 40 


14 


47 


■18710 


•190 46 


5-250 5 


■982 34 


13 


48 


■187 38 


•190 76 


5.242 2 


■982 29 


12 


49 


■187 67 


■19106 


5.233 9 


■982 23 


11 


50 


■187 95 


•191 36 


5.225 7 


■98218 


10 


51 


■188 24 


■19166 


5.217 4 


■98212 


9 


52 


■188 52 


■19197 


5-209 2 


■982 07 


8 


55 


■188 81 


■192 27 


5-201 1 


■982 01 


7 


54 


■189 10 


■192 57 


5-192 9 


■981 96 


6 


55 


•189 3S 


•192 87 


5.184 8 


•981 90 


5 


56 


•189 67 


•19317 


5.176 7 


•981 85 


4 


57 


•1899.5 


•193 47 


5.168 6 


•981 79 


3 


58 


•190 24 


•193 78 


5.160 6 


■981 74 


2 


59 


•190 52 


•194 08 


5-152 6 


■981 68 


1 


60 


•190 81 


•194 38 


5-H4 6 


■981 63 







Cos. 


Cot. 


Tan. 


Sin. 


1 



f 


Sin. 


Tan. 


Cot. 


Cos. 


f 





■19081 


•194 38 


5-144 6 


•98163 


60 


1 


■19109 


•194 68 


5-1366 


•98157 


59 


2 


■19138 


•194 98 


5-128 6 


•981 52 


58 


3 


■19167 


•195 29 


5-120 7 


•981 46 


57 


4 


■19195 


•195 59 


5.112 8 


•981 40 


56 


5 


■192 24 


•195 89 


5-104 9 


•981 35 


55 


6 


•192 52 


•196 19 


5.097 


■981 29 


54 


7 


•192 81 


•196 49 


5-089 2 


■981 24 


53 


8 


•193 09 


■196 80 


5-081 4 


•891 18 


52 


9 


•193 38 


■19710 


5.073 6 


•981 12 


51 


10 


•193 66 


■197 40 


5-065 8 


•981 07 


50 


11 


•193 95 


■197 70 


5.058 1 


•981 01 


49 


12 


•194 23 


■198 01 


5-050 4 


•980 96 


48 


13 


•194 52 


•198 31 


5.042 7 


•980 90 


47 


14 


•194 81 


■198 61 


5-035 


•980 84 


46 


15 


•195 09 


■198 91 


5-027 3 


, ^980 79 


45 


16 


•195 38 


■199 U. 


5-019 7 


•980 73 


44 


17 


•195 66 


■19-^ 52 


5.012 1 


•980 67 


43 


IS 


•195 95 


■199 82 


5-004 5 


•980 61 


42 


19 


•196 23 


■20017 


4.996 9 


■980 56 


41 


20 


•196 52 


■200 42 


4.989 4 


■980 50 


40 


21 


■196 80 


■200 73 


4-981 9 


■980 44 


39 


22 


■197 09 


■201 03 


4.974 4 


■980 39 


38 


23 


■197 37 


■201 33 


4.966 9 


■980 33 


37 


24 


■197 66 


■201 64 


4.959 4 


•980 27 


36 


25 


■197 94 


■201 94 


4.952 


•98021 


35 


26 


■198 23 


■202 24 


4.944 6 


■980 16 


34 


27 


■198 51 


•202 54 


4-937 2 


■980 10 


33 


28 


■198 80 


•202 85 


4.929 8 


•980 04 


32 


29 


■199 08 


•203 15 


4.922 5 


■979 98 


31 


30 


■199 37 


•203 45 


4-915 2 


•979 92 


30 


31 


■199 65 


•203 76 


4-907 8 


•979 87 


29 


32 


■199 94 


•204 06 


4-900 6 


•979 81 


28 


33 


■200 22 


•204 36 


4.893 3 


•979 75 


27 


34 


■200 51 


•204 66 


4.886 


•979 69 


26 


35 


■200 79 


•204 97 


4.878 8 


•979 63 


25 


36 


■201 08 


•205 27 


4-871 6 


•979 58 


24 


37 


■201 36 


•205 57 


4.864 4 


•979 52 


23 


38 


■201 65 


•205 88 


4.857 3 


•979 46 


22 


39 


•201 93 


•206 18 


4.850 1 


•979 40 


21 


40 


•202 22 


•206 48 


4.843 


•979 34 


20 


41 


•202 50 


•206 79 


4.835 9 


•979 38 


19 


42 


•202 79 


•207 09 


4.828 8 


•979 22 


18 


43 


•203 07 


•207 39 


4.821 8 


•979 16 


17 


44 


■203 36 


■207 70 


4.814 7 


•979 10 


16 


45 


■203 64 


■208 00 


4.807 7 


•979 05 


15 


46 


■203 93 


■208 30 


4-800 7 


•978 99 


14 


47 


■20421 


■208 61 


4.793 7 


•978 93 


13 


48 


■204 50 


•208 91 


4.786 7 


•978 87 


12 


49 


■204 78 


•209 21 


4.779 8 


•978 81 


11 


50 


■205 07 


•209 52 


4.772 9 


•978 75 


10 


51 


■205 35 


•209 82 


4.765 9 


•978 69 


9 


52 


■205 63 


•21013 


4.759 1 


•978 63 


8 


53 


■205 92 


■21043 


4-752 2 


•978 57 


7 


>4 


■206-20 


•210 73 


4.745 3 


•978 51 


6 


55 


■206 49 


■21104 


4.738 5 


■978 45 


5 


56 


■206 77 


■21134 


4.731 7 


•978 39 


4 


57 


■207 06 


•21164 


4.724 9 


•978 33 


3 


58 


■207 34 


•21195 


4.718 1 


•978 27 


2 


59 


•207 63 


•212 25 


4-711 4 


•978 21 


1 


iO 


•207 91 


•212 56 


4.704 6 


•978 15 







Cos. 


Cot. 


Tan. 


Sin. 


• 



100 (280 ) 



(259 ) 79 101° (281°) 



96 



(258 ) 78° 
{Continuei) 



SP: 8 - 1970 



12' (192 ) 



TABLE 7A NATURAL FUNCTIONS 
(347°) 167 13° (193 ) 



- Contd 



(346°) 166 






Sin. 


Tan. 


Cot. 


Cos. 


60 


•207 91 


•212 56 


4.704 6 


■978 15 


i 


•208 20 


•212 86 


4.697 9 


■978 09 


59 


2 


•208 48 


•21316 


4.691 2 


■978 03 


58 


3 


•208 77 


■213 47 


4.684 5 


■977 97 


57 


4 


•209 05 


■213 77 


4.677 9 


■977 91 


56 


5 


•209 33 


■214 08 


4.671 2 


■977 84 


55 


6 


•209 62 


■214 38 


4.664 6 


■977 78 


54 


7 


•209 90 


■214 69 


4-658 


•977 72 


53 


8 


•21019 


■214 99 


4651 4 


•977 66 


52 


9 


•210 47 


■215 29 


4.644 8 


■977 60 


51 


10 


•210 76 


■215 60 


4.638 2 


■977 54 


50 


11 


•21104 


■215 90 


4.631 7 


■977 48 


49 


12 


•211 32 


■21621 


4625 2 


■977 42 


48 


13 


•21161 


■21651 


4.618 7 


■977 35 


47 


14 


•21189 


■216 82 


4.612 2 


■977 29 


46 


15 


■212 18 


■217 12 


4-605 7 


■977 23 


45 


16 


•212 46 


•217 43 


4-599 3 


■977 17 


44 


i7 


•212 75 


-217 73 


4-592 8 


•977 11 


43 


18 


•213 03 


•218 04 


4-586 4 


•977 OS 


42 


19 


•213 31 


•218 34 


4.580 


•976 98 


41 


20 


■213 60 


■218 64 


4.573 6 


•976 92 


40 


21 


•213 88 


■218 95 


4.567 3 


•976 86 


39 


22 


•214 17 


■219 25 


4560 9 


•976 80 


38 


23 


•214 45 


■219 56 


4-554 6 


•976 73 


37 


24 


•214 74 


■219 86 


4.548 3 


•976 67 


36 


25 


•215 02 


■220 17 


4.542 


■976 61 


35 


26 


•215 30 


•22047 


4-53S 7 


■976 55 


34 


27 


•215 59 


■220 78 


4^529 4 


•976 48 


33 


28 


•215 87 


■221 08 


4.523 2 


,976 42 


32 


29 


•216 16 


•221 39 


4.516 9 


•976 36 


31 


30 


■216 44 


■221 69 


4^510 7 


•976 30 


30 


31 


•216 72 


■222 00 


4.504 5 


•976 23 


29 


32 


■217 01 


■222 31 


4.498 3 


■976 17 


28 


33 


■217 29 


■222 61 


4.492 2 


■976 1 1 


27 


34 


■217 58 


■222 92 


4.486 


■976 04 


26 


35 


217 86 


■223 22 


4.479 9 


■975 98 


25 


36 


■218 14 


■223 53 


4.473 7 


■975 92 


24 


37 


■218 43 


■223 83 


4.467 6 


•975 85 


23 


38 


■218 71 


■224 14 


4.461 5 


•975 79 


22 


39 


•218 99 


•224 44 


4^455 5 


•975 73 


21 


40 


■219 28 


•224 7.5 


4449 4 


•975 66 


20 


41 


•219 56 


■225 05 


4^443 4 


■975 60 


19 


42 


•219 85 


•225 36 


4.437 3 


•975 53 


18 


43 


■22013 


•225 67 


4.431 3 


•975 47 


17 


44 


■22041 


■225 97 


4.425 3 


•975 41 


16 


45 


■220 70 


■226 28 


4.419 4 


•975 34 


15 


46 


■220 98 


■226 58 


4.413 4 


•975 28 


14 


4: 


■221 26 


■226 89 


4-407 5 


•975 21 


13 


48 


■221 55 


■227 19 


4401 5 


•975 1.5 


12 


49 


■221 83 


■227 50 


4.395 6 


•975 08 


11 


50 


■222 12 


■227 81 


4.389 7 


•975 02 


10 


51 


■222 40 


■228 11 


4.383 8 


■974 96 


9 


52 


■222 68 


•228 42 


4.377 9 


■974 89 


8 


53 


•222 97 


■228 72 


4.372 1 


•974 83 


7 


54 


•223 25 


■229 03 


4.366 2 


•974 76 


6 


55 


•223 53 


•229 34 


4.360 4 


■974 70 


5 


56 


•223 82 


•229 64 


4-354 6 


■974 63 


4 


57 


•22410 


•229 95 


4^348 8 


■974 57 


3 


58 


•224 38 


•230 26 


4,343 


•974 50 


2 


59 


•224 67 


•230 56 


4.337 2 


•974 44 


1 


<6« 


•224 95 


•230 87 


4331 5 


■974 37 





Cos. 


Cot. 


Taa. 


Sin. 



f 




Sin. 


Tan. 


cot. 


Cos. 


60 


■224 95 


■230 87 


4.331 5 


.974 37 


1 




■231 17 


4-325 7 


■97+ 30 


59 


2 


■mi) m 


•231 48 


4.320 


■974 24 


58 


3 




-231 79 


4314 3 


■974 17 


;;7 


4 


■nmm 


•232 09 


4.308 6 


■974 1 1 


56 


5 


■226 37 


•232 40 


4.302 9 


■974 04 


55 


6 


■226 65 


•232 71 


4.297 2 


•973 98 


54 




■226 93 


■233 01 


4.291 6 


.973 91 


53 


3 


■227 22 


-233 32 


4.285 9 


■973 84 


52 


9 


■227 50 


■233 63 


4.2803 


■973 78 


51 


10 


•227 78 


■233 93 


4.274 7 


■973 71 


50 


11 


■228 07 


-234 24 


. 4.269 1 


■973 65 


49 


12 


■228 3S 


•234 55 


4.263 5 


■973 58 


48 


13 


■228 63 


mf. 


4-258 


■973 51 


47 


14 


■228 92 


4-252 4 


•973 45 


46 


15 


■229 20 


■235 il 


4.246 8 


-973 38 


45 


17 


■229 48 


•23§9§ 


4-241 3 


•973 31 


44 


18 


■mmi'ii 


4-235 8 


•973 25 


43 






•236 39 


4-230 3 


•973 18 


42 


19 


■230 33 


■236 70 


4.224 8 


•973 11 


41 


20 


■230 62 


■237 00 


4.219 3 


■973 04 


40 


21 




■237 31 


4.213 9 


■972 98 


39 


2? 


■230-2J13O18 


•237 62 


4.208 4 


■972 91 


38 


■231 46 


•237 93 


4.203 


•972 84 


37 


24 


■231 75 


•238 23 


4.197 6 


•972 78 


36 


25 


-232 03 


-238 54 


4.192 2 


■972 71 


35 


26 


■232 31 


-238 85 


4-186 8 


-972 64 


34 


27 




-239 16 


4-181 4 


-972 57 


33 


28 


■232'2]26088 


-239 46 


4-176 


•972 51 


32 


29 


•233 16 


-239 77 


4-170 6 


•972 44 


31 


30 


■233 45 


-240 08 


4.165 3 


•972 37 


30 


31 


■233 73 


-240 39 


4.160 


•972 30 


29 


32 


■234 01 


•240 69 


4.154 7 


•872 23 


28 


33 


■234 29 


■241 00 


4.149 3 


•972 17 


27 


34 


■234 58 


■241 31 


4.144 1 


•972 10 


26 


36 


■234 86 


■241 62 


4.138 8 


•972 03 


25 


37 


•23i-2!S C H 


■241 93 


4.133 5 


-971 96 


24 






-242 23 


4-128 2 


•971 89 


23 


38 




-242 54 


4.123 






39 


•23S'2!SIH! 


-242 85 


4.117 8 


-971 82 
•971 76 


11 


41 


■236 27 


-243 16 


4-112 6 


•971 69 


20 


42 


■m-mm 


•243 47 


4-107 4 


•971 62 


19 


43 




•243 77 


4.102 2 


•971 55 


18 


H 


mn ffl 19 


•224 08 


4.097 


•971 48 


17 






•244 39 


4-091 8 


•971 41 


1 6 


45 


■237 69 


-244 70 


4.086 7 


•971 34 


15 


il 


■237 97 


•245 01 


4.081 5 


•971 27 


14 


■238 25 


•245 32 




■971 20 


1 3 


48 


■238 53 




4ffi 4,051 11 


•971 13 


12 


+9 


■238 82 


4-066 2 


•971 06 


L 1 


1 


■239 10 


-246 24 


4-061 1 


•97100 


1 


if 


■239 38 


•246 55 


4-056 


•970 93 


9 


53 


-239 66 


•246 86 




•970 86 


8 


54 


■2«'23!2395 


■247 17 
•247 47 


10d04'045«! 


•970 79 


7 






4-040 8 


•970 72 


6 


56 


■240 5 1 


■247 78 


4-035 8 


•970 65 


5 


57 


■immi'i 


■248 09 


4.030 8 


•970 58 


4 






•248 40 


4.025 7 


•970 51 


3 


58 


•241 36 


-248 71 


4-020 7 


•970 44 


2 


;59 


■241 64 


•249 02 


4-015 8 


•970 37 


1 


60 


■241 92 


•249 33 


4.010 8 


•970 30 





• 


Cos. 


Cot. 


Tan 


Sin. 


t 



102° (282°) 



(257°) 77° 



lud- (zas") 



97 



(2.56) IV 
{Continued) 



SP:8-1970 



14" (194°) 



TABLE 7A NATURAL FUNCTI N S- 
(345") 165° 15° (195°) 



Contit 



(344°) 164° 






Sin. 


Tan. 


cot 


Cos. 


f 


■241 92 


•249 33 


4.010 8 


-970 30 


60 


1 


■242 2\) 


•249 64 


4.005 8 


-970 23 


59 


2 


•242 49 


•249 95 


4000 9 


-970 15 


58 


3 


•242 77 


-250 26 


3-995 9 


■970 08 


57 


4 
5 
6 


•243 05 


■250 56 


3.991 


■970 01 


56 


■2«'2«ffi33 


■250 87 


3.986 1 


■969 94 


55 






•251 18 


3.981 2 


-969 87 


54 


8 


•243 90 


•251 49 


3.976 3 


-969 80 


53 


9 


WW«1« 


•251 80 


3.971 4 


-969 73 


52 


10 

11 




•252 11 


3^966 S 


-969 66 


51 


■2«W «] 74 


•252 42 


3.961 7 


■969 59 


50 






•252 73 


3956 8 


■969 52 


49 


12 




•253 04 


3952 


-969 45 


48 


13 


•24S'24S Jl S 


•253 35 


3-947 1 


•969 37 


47 


14 
15 
16 


•245 87 


•253 66 


3.942 3 


-969 30 


46 


■2«'2«14Li 


•253 97 


3^937 5 


•969 23 


45 


17 




•254 28 


3932 7 


-969 16 


44 


18 


•246 72 


■254 59 


3.927 9 


-969 09 


43 




•247 00 


•254 90 


3.923 2 


-969 02 


42 


19 


•247 28 


■255 21 


3.918 4 


-968 94 


41 


20 




■255 52 


3.913 6 


•968 87 


40 


22 


■Wm is 84 


■255 83 


3.908 9 


•968 80 


39 


23 


■248'248 Jl Ij 


•256 14 


3.904 2 


•968 73 


38 






•256 45 


3.899 5 


•968 66 


37 


24 


•248 69 


•256 76 


3.894 7 


•968 58 


36 


25 


•248 97 


■257 07 


3.890 


•968 51 


35 


27 


•249 25 


■257 38 


3-885 4 


•968 44 


5 4 


28 


■245W J2H 


■257 69 


3-880 7 


•968 37 


33 






•258 00 


3-876 


•968 29 


32 


29 


•250 10 


■258 31 


3-871 4 


•968 22 


31 


30 


•250 38 


■258 62 


3.866 7 


•96815 


30 


31 


•250 66 


•258 93 


3.862 1 


•968 07 


29 


32 




•259 24 


3.857 5 


•968 00 


28 


33 


■2S1'2S0 9122 


•259 55 


3^852 8 


•967 93 


27 


34 


•251 51 


•259 86 


3.848 2 


•967 86 


26 


35 


•251 79 


•260 17 


3.843 6 


•967 78 


25 


36 




•260 48 


3.839 1 




24 


37 


■?i2'2S2073s 


•260 79 


3.834 S 


•967 U 


23 




■252 63 


-261 10 


3.829 9 


•867 56 


22 


§§ 


•252 91 


•261 41 


3.825 4 


•967 49 


21 


40 


•253 20 


•26172 


3.820 8 


•967 42 


20 


41 


•253 48 


•262 03 


3.816 3 


•967 34 


19 


42 


•253 76 


•262 35 


3-8118 


•967 27 


18 


43 


•254 04 


•262 66 


3-807 3 


•967 19 


17 


44 


•254 32 


•262 97 


3.802 8 


•967 12 


16 


45 


•254 60 


•263 28 


3.798 3 


•967 OS 


15 


46 


•254 88 


•263 59 


3793 8 


-966 97 


14 


47 


•255 16 


•263 90 


3-789 3 


-966 90 


13 


48 


•255 4s 


•264 21 


3-784 8 


•966 82 


12 


49 


•255 73 


•264 52 


3-780 4 


•966 75 


1 1 


50 


•256 01 


•264 83 


3-776 


-966 67 


10 


51 


•256 29 


•265 15 


3-771 5 


-966 60 


9 


52 


•256 57 


•265 46 


3-767 1 


-966 53 


8 


53 


■256 85 


•265 77 


3.762 7 


-966 45 


7 


54 


•257 13 


•266 08 


3-758 3 


•966 38 


6 


55 


•25741 


•266 39 


3-753 9 


-966 30 


5 


56 


•257 69 


•266 70 


3-749 5 


•966 23 


4 


57 


•257 98 


•267 01 


3-745 1 


•966 15 


3 


58 


•258 26 


•267 33 


3-740 8 


-966 08 


2 


59 


•258 54 


•267 64 


3.736 4 


-966 00 


1 


60 


•258 82 

COS. 


•267 95 


3.732 1 


•965 93 





Cot. 


Tan, ' 


Sin. 



< 


Sin. 


Tan. 


Cot. 


Cos. 


t 

60 





•258 82 


-267 95 


3.732 1 


-965 93 


1 


•259 10 


-268 26 


3.727 7 


-965 85 


59 


2 


•259 38 


-268 57 


3-7234 


-965 78 


58 


3 


•259 66 


-268 88 


3.719 1 


•965 70 


57 


4 


•259 94 


-269 20 


3.734 8 


•965 62 


56 


5 


•260 22 


-269 51 


3-710 5 


•965 55 


55 


6 


•260 SO 


-269 82 


3-706 2 


•965 47 


54 


7 


•260 79 


-270 13 


3-701 9 


•965 40 


S3 


8 


•26107 


-270 44 


3-697 6 


•965 32 


52 


9 


•261 35 


-270 76 


3.693 3 


-965 24 


51 


10 


•261 63 


-27107 


3-689 1 


•965 17 


50 


11 


•261 91 


-27138 


3684 8 


•965 09 


49 


12 


•262 19 


•271 69 


3-6806 


•965 02 


48 


13 


■262 47 


•272 01 


3.676 4 


•964 94 


47 


14 


■262 75 


•272 32 


3.672 2 


•964 86 


46 


15 


■263 03 


•272 63 


3-668 


-964 79 


45 


16 


■263 31 


•272 94 


3-663 8 


-964 7 1 


44 


17 


•263 59 


•273 26 


3-659 6 


-964 63 


43 


18 


•263 87 


•273 57 


3-655 4 


-964 56 


42 


19 


•264 15 


•273 88 


3-651 2 


-96448 


41 


20 


•26443 


•274 19 


3-647 


-964 40 


40 


21 


•264 71 


•274 51 


0-642 9 


-964 33 


39 


22 


•265 00 


•274 82 


3.638 7 


•964 25 


38 


23 


•265 28 


•275 13 


3-634 6 


•964 17 


37 


24 


■1265 56 


•275 45 


3-630 5 


•964 10 


36 


25 


■265 84 


•275 76 


3.626 4 


-964 02 


35 


26 


■266 12 


•276 07 


3.622 2 


-963 94 


34 


27 


•266 40 


•276 38 


3-618 1 


-963 86 


33 


28 


•266 68 


•276 70 


3614 


•963 79 


32 


29 


•266 96 


-277 01 


3-610 8 


-963 71 


31 


30 


■267 24 


-277 32 


3605 9 


-963 63 


30 


31 


•267 52 


-277 64 


3.601 8 


-963 55 


29 


32 


•267 80 


-277 95 


3597 8 


-963 47 


28 


33 


•268 08 


-278 26 


3 593 7 


•963 40 


27 


34 


•268 36 


-278 58 


3^589 7 


•963 32 


26 


35 


•268 64 


•278 89 


3^585 6 


•963 24 


25 


36 


•268 92 


•279 21 


3.581 6 


•963 16 


24 


37 


•269 20 


•279 52 


3^577 6 


•963 08 


23 


38 


•269 48 


•279 83 


3^573 6 


•963 01 


22 


39 


•269 76 


•280 15 


3.569 6 


•962 93 


21 


40 


•270 04 


-280 46 


3^565 6 


•962 85 


20 


41 


•270 32 


-280 77 


3-561 6 


•962 77 


19 


42 


•270 60 


-281 09 


3-557 6 


•962 69 


18 


43 


•270 88 


-28140 


3-553 6 


•962 61 


17 


44 


•27116 


-28172 


3-549 7 


•962 53 


16 


45 


•271 44 


-282 03 


3-545 7 


•962 46 


15 


46 


•271 72 


-282 34 


3.541 8 


■962 38 


14 


47 


•272 00 


-282 66 


3-537 


•962 30 


13 


48 


•272 28 


-282 97 


3-533 8 


•962 22 


12 


49 


•272 56 


-283 29 


3.530 


•962 14 


11 


50 


•272 84 


-283 60 


3.526 1 


•962 06 


10 


51 


•273 12 


-283 91 


3.522 2 


•961 98 


9 


52 


•27340 


-284 23 


3-518 3 


•961 90 


8 


53 


•273 68 


-284 54 


3.514 4 


•961 82 


7 


54 


•273 96 


-284 86 


3.510 s 


•961 74 


6 


55 


•274 24 


•285 17 


3.506 7 


•961 66 


5 


56 


•27452 


•285 49 


3-502 8 


•961 58 


4 


57 


•274 80 


-285 80 


3-498 9 


■961 SO 




58 


-275 08 


-286 12 


3-495 1 


•961 42 


3 


59 


-275 36 


-286 43 


3.491 2 


•961 34 


I 


60 


-275 64 


•286 75 


3.487 4 


•961 26 





' 


Cos. 


Cot. 


Tan. 


Sin. 



,C!4° (284°) 



(255°) 7 



105° (285°) 



(254°) 74° 



(CoH(tnt<«d) 



SP:8-197(> 



16 (196°) 



TABLE 7A NATURAL FUNCTIONS —Contd 
(343°) 163 17 (197 ) 



(342°) 1162 



f 




Sin. 


Tan. 


Cot. 


Cos. 


r 


•275 64 


■286 75 


3^487 4 


•961 26 


60 


1 




•287 06 


3.483 6 


•961 18 


59 


2 


■2J5'27H!20 


■287 38 


3.479 8 


•961 10 


58 


3 




•287 69 


3-746 


•961 02 


57 


4 


%mri 


•288 01 


3-472 2 


•960 94 


56 


5 


■111 04 


•288 32 


3.468 4 


•960 86 


55 


6 




•288 64 


3.464 6 


•960 78 


54 


7 


OTOTJIJS 


•288 9.5 


3.460 8 


•960 70 


53 


a 


•277 87 


•289 27 


3.457 


•960 62 


52 


9 


•278 15 


•289 58 


3.453 3 


•960 54 


51 




•278 43 


•289 90 


3.449 5 


•960 46 


50 


ll 


■278 71 


■290 21 


3445 a 


•960 37 


49 


12 


•278 99 


•290 53 


3442 


•960 29 


48 


13 


•279 27 


■290 84 


3.438 3 


•960 21 


47 


14 


•279 55 


•291 16 


3.434 6 


•960 13 


46 


16 


•279 83 


•291 47 


3^430 8 


•960 05 


45 


17 


■280'280 3811 


•291 79 


3^427 1 


•959 97 


44 






•292 10 


3.423 4 


•959 89 


43 


18 




•292 42 


3.419 7 


•959 81 


42 


19 


•28()'280 8!5.i 


•292 74 


3.416 


•959 72 


41 


21 


•281 23 


•293 05 


3.412 4 


•959 64 


40 


22 


■281281 m 


•293 37 


3.408 7 


•959 56 


39 






■293 68 


3^405 


•959 48 


38 


23 




•294 00 


3.401 4 


•959 40 


37 


24 


•282«08 3i 


•294 32 


3-397 7 


•959 31 


36 


25 


•282 62 


•294 63 


3.394 1 


•959 23 


35 


26 




•294 95 


3.390 4 


••959 15 


34 


27 


■283'282S018 


•295 26 


3.386 8 


•959 07 


33 


28 


•283 46 


•295 58 


3^383 2 


•958 98 


32 


29 


•283 74 


•295 90 


3379 6 


•958 90 


31 


30 


•284 02 


•296 21 


3.375 9 


•958 82 


30 


31 




•296 53 


3.372 3 


•958 74 


29 


32 


■284'284!SS( 


•296 85 


3.368 7 


•958 65 


28 




•284 85 


•297 16 


3^365 


•958 57 


27 


:a 


■285 13 


•297 48 


3^361 3 


•958 49 


26 


35 


•285 41 


•297 80 


3.358 


•958 41 


25 


36 




■298 11 


3.354 4 


•958 32 


24 


37 


■285'28S8Sti 


■298 43 


3^350 9 


■958 24 


23 


38 




■298 75 


3-347 3 


•958 16 


22 


39 


■M-%m 


■299 06 


3.343 a 


•958 07 


21 


40 


•286 80 


•299 3% 


3-340 2 


•957 99 


20 






•299 70 


3^336 7 


•957 91 


19 


a : 


■287'28H8I 


•30001 


3333 2 


•957 82 


18 


43 




•300 33 


3^329 7 


•957 74 


17 


44 


■28]'28H(S2 


•300 65 


3^326 1 


•957 66 


16 


45 


•288 20 


•300 97 


3^322 6 


•957 57 


15 


46 


•288 47 


•301 28 


3^319 1 


•957 49 


14 


47 


•288 75 


•301 60 


3.315 6 


•957 40 


13 




•289 03 


•301 92 


3^312 2 


•957 32 


12 


4§ 


•289 31 


•302 24 


3.308 7 


•957 24 


11 


50 


■289 59 


•302 55 


3-305 2 


•957 15 


10 


51 


•289 87 


•302 87 


3.301 7 


•957 07 


9 


52 


•290 15 


•303 19 


3.298 3 


•956 98 


8 


53 


•290 42 


•303 51 


3.294 a 


•956 90 


7 


54 


•290 70 


•303 82 


3.291 4 


•956 81 


6 


55 


■290 98 


•30414 


3^287 9 


•956 73 


5 


56 




•304 46 


3.284 5 


•956 64 


4 


57 


•291'29126M 


•304 78 


3.281 I 


•956 56 


3 


58 


•291 82 


•305 09 


3.277 7 


•956 47 


2 


59 


•292 09 


•305 41 


3^274 3 


•956 39 


1 


60 


•292 37 


■305 73 


3^270 9 


•956 30 





Cos. 


Cot. 


Tan. 


Sin. 



' 


Sin. 


Tan. 
73 


Cot. 


Cos. 


/ 





•292 37 


3.270 9 


■956 30 


60 


1 


•292 6.5 


::;; 05 


3.267 5 


■956 22 


59 


2 


•292 93 


■306 37 


3.264 1 


■956 13 


58 


3 


•293 21 


•306 69 


3^260 7 


•956 05 


57 


4 


•293 48 


•307 00 


3.257 3 


•955 96 


56 


5 


•293 76 


•307 32 


3-253 9 


•955 88 


55 


6 


•294 04 


•307 64 


3-250 6 


•955 79 


54 


7 


•294 32 


•307 96 


3 247 2 


•955 71 


53 


8 


•294 60 


■308 28 


3-243 8 


•955 62 


52 


9 


•294 87 


■308 60 


3-240 5 


•955 54 


51 


10 


•295 15 


•308 91 


3.237 1 


•955 45 


50 


11 


•295 43 


•309 23 


3.233 8 


•955 36 


49 


12 


•295 71 


•309 55 


3-230 5 


•955 28 


48 


13 


•295 99 


•309 87 


3 227 2 


•955 19 


47 


14 


•296 26 


•31019 


3223 8 


•95511 


46 


15 


•296 54 


•310 51 


3.220 5 


■955 02 


45 


16 


•296 82 - 


•310 83 


3.217 2 


•954 93 


44 


17 


•297 10 


•311 15 


3213 9 


•954 85 


43 


18 


•297 37 


•311 47 


3210 6 


■954 76 


42 


19 


•297 65 


•311 78 


3.207 3 


•954 67 


41 


20 


•297 93 


•312 10 


3.204 1 


•954 59 


40 


21 


•298 21 


■312 42 


3-200 8 


•954 50 


39 


22 


■298 49 


■312 74 


3^197 5 


•954 41 


38 


23 


•298 76 


■313 06 


3.194 3 


•954 33 


37 


24 


•299 04 


■313 38 


3-191 


•954 24 


36 


25 


•299 32 


■313 70 


3.187 a 


•954 15 


35 


26 


•299 60 


•314 02 


3.184 5 


•954 07 


34 


27 


•299 87 


•314 34 


3^1813 


•953 98 


33 


28 


•30015 


■314 66 


3^178 


•953 89 


32 


29 


•30043 


■314 98 


3^174 8 


•953 80 


31 


30 


•300 71 


■315 30 


31716 


•953 72 


30 


31 


•300 98 


■315 62 


31684 


•953 63 


29 


32 


•301 26 


■315 94 


3^165 2 


•953 54 


28 


33 


•301 54 


■316 26 


3.162 


•953 45 


27 


34 


•301 82 


■316 58 


3^1588 


•953 37 


26 


35 


•302 09 


■316 90 


3-155 6 


■953 28 


25 


36 


•302 37 


■317 22 


3-1524 


■953 19 


24 


37 


•302 65 


■317 54 


3-149 2 


■953 10 


23 


38 


•302 92 


■317 86 


3.146 


■953 01 


22 


39 


•303 20 


■31818 


3.142 9 


■952 93 


21 


40 


•303 48 


■318 50 


3.139 7 


■952 84 


20 


41 


•303 76 


•318 82 


3.136 6 


■952 7.5 


19 


42 


•304 03 


•31914 


3-133 4 


■952 66 


18 


43 


•304 31 


•319 46 


3-130 3 


■952 57 


17 


44 


•304 59 


•319 78 


3.127 I 


•952 48 


16 


45 


•304 86 


•320 10 


3.124 


•952 40 


15 


46 


•305 14 


•32042 


3.120 9 


•952 31 


14 


47 


•305 42 


•320 74 


3.117 8 


•952 22 


13 


48 


•305 70 


•321 06 


3-1146 


•952 13 


12 


49 


•305 97 


•321 39 


3-1115 


■952 04 


11 


50 


•306 25 


•32171 


3.108 4 


■951 95 


10 


51 


•306 53 


•322 03 


3-10.5 3 


■951 86 


9 


52 


•306 80 


•322 35 


3-102 2 


■951 77 


8 


53 


•307 08 


•322 67 


3-099 1 


■951 68 


7 


54 


•307 36 


.•322 99 


3.096 I 


•951 59 


6 


55 


■307 63 


•323 31 


3-093 


•951 50 


5 


56 


•307 91 


•323 63 


3 089 9 


•951 42 


4 


57 


■308 19 


•323 96 


3 086 8 


■951 33 


3 


58 


■308 46 


•324 28 


3^083 8 


■951 24 


2 


59 


■308 74 


•324 60 


3-080 7 


■951 15 


1 


60 


■309 02 


•324 92 


3-077 7 


■951 06 




/ 


t 


Cos. 


Cot, 


Tan. 


Sin. 



106° (286°) 



(253°) 73° 



107 (287°) 



99 



(252 ) 72°- 
{.Continued'^ 



SP: 8 - 1970 



18° (198°) 



TABLE 7A NATURAL FUNCTIONS —Contd 
(341 ) 16X° 19° (199°) 



(340°) 160° 



r 

1 


Sin. 


Tan. 


Cot. 


Cos. 


' 


•309 02 


•324 92 


3-077 7 


-951 06 


60 


2 


•309 29 


•325 24 


3-074 6 


•950 97 


59 




•309 57 


•325 56 


3-071 6 


•950 88 


58 


3 


•309 85 


•325 88 


3068 6 


•950 79 


57 


4 
5 
6 


•31012 


•326 21 


3.065 5 


•9S0 70 


56 


•310 40 


•326 53 


3.062 5 


•950 61 


55 




•310 68 


•326 85 


3.059 5 


•950 52 


54 


7 


•310 95 


•327 17 


3.056 5 


•950 43 


53 


8 


•31123 


•327 49 


3.053 5 


■950 33 


52 


9 


•31151 


•327 82 


3^050 5 


•950 24 


51 


10 


■31178 


•328 14 


3047 5 


•950 15 


50 


11 


•312 06 


•328 46 


3044 5 


•950 06 


49 


12 




•328 78 


30413 


•949 97 


48 


13 


•312'3l! 3381 


•329 11 


3^038 5 


•949 88 


47 


14 


•312 89 


•329 43 


3.035 6 


•949 79 


46 


15 


•313 16 


•329 75 


3^032 6 


•949 70 


45 


16 


•313 44 


•330 07 


3.029 6 


■949 61 


44 


17 


•313 72 


•330 40 


3.026 7 


■949 52 


43 


18 


•313 99 


•330 72 


3.023 7 


•949 43 


42 


19 


•314 27 


•331 04 


3.020 8 


•949 33 


41 


20 


•314 54 


■331 36 


3.017 8 


•949 24 


40 


21 


•314 82 


-331 69 


3.014 9 


-949 15 


39 


22 


•315 10 


•332 01 


3.012 


-949 06 


38 


23 


•315 37 


•332 33 


3009 


•948 97 


37 


24 


•315 63 


•332 66 


30061 


•948 88 


36 


25 


•315 93 


•332 98 


3 003 2 


•948 78 


35 


26 


•316 20 


•333 30 


3^000 3 


•948 69 


34 


27 


•316 48 


•333 63 


2^997 4 


•948 60 


33 


28 


•316 7.5 


•333 95 


2994 5 


•948 51 


32 


29 


•317 03 


•334 27 


2.991 6 


•948 42 


31 


30 


•317 30 


•334 60 


2 •988 7 


■948 32 


30 


31 


•317 58 


•334 92 


2.985 8 


•948 23 


29 


32 


•317 86 


•335 24 


2-982 9 


•948 14 


28 


33 


•31813 


•335 57 


2-980 


•948 05 


27 


34 


•318 41 


•335 89 


2.977 2 


•947 95 


26 


35 


•318 68 


•336 21 


2-974 3 


•947 86 


25 


36 


•318 96 


•336 54 


2-971 4 


•947 77 


24 


37 


•31923 


■336 86 


2-968 6 


•947 68 


23 


38 


•31951 


•337 18 


2-965 7 


•947 58 


22 


39 


•319 79 


•337 51 


2-962 9 


•947 49 


21 


40 


•320 06 


•337 83 


2.960 


•947 40 


20 


41 


•320 34 


•33816 


2.957 2 


•947 30 


19 


42 


•320 61 


•33848 


2.954 4 


•947 21 


18 


43 


•320 89 


•338 81 


2.951 5 


•947 12 


17 


44 


■321 16 


•339 13 


2.948 7 


-947 02 


16 


45 


•321 44 


•3394.5 


2-945 9 


-946 93 


15 


46 


•32171 


•339 78 


2-943 1 


•946 84 


14 


47 


•321 99 


•340 10 


2.940 3 


-946 74 


13 


; 48 


•322 27 


•340 43 


2.937 5 


-946 65 


12 


; 49 


•322 54 


•340 75 


2.934 7 


-946 56 


11 


50 


•322 82 


•341 08 


2.931 9 


-946 46 


10 


51 


•323 09 


•341 40 


2.929 1 


-946 37 


9 


52 


•323 37 


•341 73 


2.926 3 


-946 27 


8 


53 


•323 64 


•342 0.5 


2.923 5 


-946 18 


7 


54 


•323 92 


•342 38 


2.920 8 


-946 09 


6 


55 


•324 19 


•342 70 


2-918 


-945 99 


5 


56 


•324 47 


•343 03 


2-915 2 


-945 90 


4 


57 


•324 74 


•343 35 


2-912 5 


-945 80 


3 


58 


•325 02 


•343 68 


2-909 7 


•945 71 


2 


59 


•325 29 


•344 00 


2-907 


•945 61 


1 


60 

f 


•325 57 
Cos. 


•344 33 


2-904 2 


■945 52 


II 

f 

1 


cot. 


Tan. 


Sin. 



r 


Sin. 


Tan. 


Cot. 


Cos. 


60 





■325 57 


-344 33 


2.904 2 


-945 52 


1 


•325 84 


-344 65 


2.901 5 


•945 42 


59 


2 


•326 12 


■344 98 


2.898 7 


•945 33 


58 


3 


•326 39 


•345 30 


2-896 


•945 23 


57 


4 


•326 67 


•345 63 


2.893 3 


•945 14 


56 


5 


•326 94 


•345 96 


2.890 5 


•945 04 


55 


6 


•327 22 


•346 28 


2.887 8 


•944 95 


54 


7 


•327 49 


•346 61 


2.885 1 


•944 85 


53 


8 


•327 77 


•346 93 


2.882 4 


•944 76 


52 


9 


■328 04 


•347 26 


2.879 7 


•944 66 


51 


10 


•328 32 


•347 58 


2.877 


•944 57 


50 


11 


•328 59 


•347 91 


2^874 3 


■944 47 


49 


12 


•328 87 


•348 24 


2.871 6 


■944 38 


48 


13 


•329 14 


•348 56 


2.868 9 


■944 28 


47 


14 


•329 42 


■348 89 


2.866 2 


•94418 


46 


15 


-329 69 


■349 22 


2.863 6 


-944 09 


45 


16 


-329 97 


■349 54 


2.860 9 


-943 99 


44 


17 


•330 24 


•349 87 


2.858 2 


•943 90- 


43 


18 


•330 51 


•350 20 


2.855 6 


•943 80 


42 


19 


•330 79 


•350 52 


2.852 9 


•943 70 


41 


20 


•331 06 


•350 85 


2.850 2 


•943 61 


40 


21 


•331 34 


•351 18 


2.847 6 


•943 51 


39 


22 


•33161 


•351 50 


2.844 9 


•943 42 


38 


23 


•331 89 


•35183 


2.842 3 


•943 32 


37 


24 


-332 16 


•352 16 


2.839 7 


•943 22 


36 


25 


-332 44 


•352 48 


2.837 


•943 13 


35 


26 


-332 71 


•352 81 


2.834 4 


•943 03 


3-i 


27 


-332 98 


•353 14 


2-831 8 


•942 93 


33 


28 


-333 26 


•353 46 


2.829 1 


•942 84 


32 


29 


•333 53 


•353 79 


2.826 5 


•942 74 


31 


30 


•333 81 


•354 12 


2.823 9 


•942 64 


33 


31 


•334 08 


•354 45 


2-8213 


•942 54 


29 


32 


•334 36 


-354 77 


2.818 7 


•942 45 


28 


33 


•334 63 


•355 10 


2.816 1 


•942 35 


27 


34 


•334 90 


•355 43 


2.813 5 


•942 25 


26 


35 


•335 18 


•355 76 


2.810 9 


•942 15 


25 


36 


•335 45 


•356 08 


2.808 3 


•942 06 


24 


37 


-335 73 


•356 41 


2.805 7 


•941 96 


23 


38 


-336 00 


•356 74 


2.803 2 


•94186 - 


22 


39 


-336 27 


•357 07 


2.800 6 


•941 76 


21 


40 


•336 55 


•357 40 


2.798 


•941 67 


20 


41 


•336 82 


•357 72 


2.795 5 


•941 57 


19 


42 


•337 10 


•358 05 


2-792 9 


-941 47 


18 


43 


•337 37 


•358 38 


2-790 3 


•941 37 


17 


44 


•337 64 


•35871 


2.787 8 


•941 27 


16 


45 


•337 92 


•359 04 


2.785 2 


•941 18 


15 


46 


-338 19 


•359 37 


2.782 7 


•941 08 


14 


47 


-338 46 


•359 69 


2.780 1 


•940 98 


13 


48 


-338 74 


•360 02 


2.777 6 


•940 88 


12 


49 


, -339 01 


•360 35 


2.775 1 


•940 78 


■11 


50 


-339 29 


•360 68 


2.772 5 


•940 68 


10 


51 


-339 56 


•36101 


2.770 


•940 58 


9 


52 


-339 83 


•361 34 


2.767 5 


•940 49 


8 


53 


! -340 11 


■361 67 


2-765 


•940 39 


7 


54 


•34038 


■361 99 


2-762 5 


•940 29 


6 


55 


i ^340 65 


■362 32 


2-760 


•940 19 


5 


56 


1 ^340 93 


•362 65 


2-757 5 


•940 09 


4 


57 


•341 20 


•362 98 


2-755 


•939 99 


3 


58 


•341 47 


•363 31 


2.752 5 


•939 89 


2 


59 


-341 75 


■363 64 


2.750 


-939 79 


1 


60 


' -342 02 


•363 97 


2.747 5 


•939 69 





COS. 


cot. 


Tan. 


Sin. 


r 



108° (288) 



(251) 71- 



109° (289°) 



100 



(250°) 70° 
(Continued) 



SP: 8 - 1970 



20° (200°) 



TABLE PA NATURAL 
(339°) 159° 



FUNCTIONS 
21° (201°) 



— Contd 



(338°> 158° 



/ 


Sin. 


Tan. 


Cot. 


Cos. 


r 





•342 02 


•363 97 


2,747 5 


-939 69 


60 


1 


•342 29 


•364 30 


2.745 


-939 59 


59 


2 


•342 57 


•364 63 


2.742 5 


-939 49 


58 


3 


■342 84 


•364 96 


2-740 


-939 39 


57 


4 


•343 11 


•365 29 


2.737 6 


-939 29 


56 


5 


•343 39 


•365 62 


2-735 1 


-939 19 


55 


6 


•343 66 


•365 95 


2.732 6 


-939 09 


54 


7 


•343 93 


•366 28 


2.730 2 


-938 99 


53 


8 


•34421 


•366 61 


2.727 7 


-938 89 


52 


9 


•344 48 


•366 94 


2.725 3 


•938 79 


51 


10 


•344 7.5 


•367 27 


2.722 8 


•938 69 


50 


11 


•345 03 


•367 60 


2.720 4 


•938 59 


49 


12 


•345 30 


•367 93 


2.717 9 


-938 49 


^l 


13 


•245 57 


•368 26 


2-715 5 


-938 39 


4f 


14 


•345 84 


■•368 59 


2.713 


-938 29 


46 


15 


•346 12 


•368 92 


2^710 


-938 19 


45 


16 


•346 39 


•369 25 


2^708 4 


•938 09 


44 


17 


•346 66 


•369 58 


2^705 8 


•937 99 


43 


18 


•346 94 


•369 91 


2.703 4 


-937 89 


42 


19 


•347 21 


•370 24 


2.700 9 


-937 79 


41 


20 


•347 48 


•370 57 


2.698 5 


•937 69 


40 


21 


•347 75 


•370 90 


2.696 1 


■937 59 


39 


22 


•348 03 


•37123 


2.693 7 


•937 48 


38 


23 


•348 30 


•371 57 


2.691 3 


•937 38 


37 


24 


■348 57 


,371 90 


2.688 9 


-937 28 


36 


25 


■348 84 


•372 23 


2.686 5 


-937 18 


35 


26 


■34912 


•372 56 


2.684 1 


-937 08 


34 


27 


•349 39 


•372 89 


2.681 8 


•936 98 


33 


28 


•349 66 


•373 22 


2.679 4 


-936 88 


32 


29 


•349 93 


•373 55 


2.677 


-936 77 


31 


30 


•35021 


•373 88 


2.674 6 


-936 67 


30 


31 


•350 48 


•374 22 


2.672 3 


■936 57 


29 


32 


•350 75 


•374 55 


2.669 9 


■936 47 


28 


33 


•35102 


•374 88 


2.667 5 


■936 37 


27 


34 


•35130 


■375 21 


2.665 2 


•936 26 


26 


35 


•351 57 


■375 54 


2-662 8 


•936 16 


25 


36 


■351 84 


•375 88 


2-660 5 


•936 06 


24 


37 


■35211 


•37621 


2.658 1 


•935 96 


23 


38 


,352 39 


•376 54 


2^655 8 


•935 85 


22 


39 


•352 66 


•376 87 


2.653 4 


•935 75 


21 


U) 


•352 93 


•377 20 


2-6511 


•935 65 


20 


u 


•353 20 


•377 54 


2.648 8 


•935 5.5 


19 


t2 


•353 47 


•377 87 


2.646 4 


•935 44 


18 


« 


•353 75 


■378 20 


2.644 1 


■935 34 


17 


H 


•354 02 


•378 53 


2.641 8 


•935 24 


16 


15 


•354 29 


•378 87 


2-639 5 


•935 14 


15 


if, 


•354 56 


•379 20 


2.637 1 


•935 03 


14 


M 


•354 84 


•379 53 


2.634 8 


■934 93 


13 


J8 


•35511 


•379 86 


2.632 5 


•934 83 


12 


\<) 


•355 38 


•380 20 


2.630 2 


•934 72 


11 


50 


•355 65 


•380 53 


2.627 9 


•934 62 


10 


51 


•355 92 


•380 86 


2.625 6 


•934 52 


9 


52 


•35619 


•381 20 


2.623 3 


-934 41 


8 


53 


•356 47 


•38153 


2.621 


-934 31 


7 


54 


•356 74 


•381 86 


2.618 7 


•934 20 


6 


>5 


•357 01 


•382 20 


2.616 5 


•934 10 


5 


56 


•357 28 


•382 53 


2-614 2 


•934 00 


4 


>7 


•357 55 


•382 86 


2.611 9 


■933 89 


3 


58 


■357 82 


•383 20 


2.609 6 


•933 79 


2 


59 


•358 10 


•383 53 


2-607 4 


•933 68 


1 


SO 


•358 37 


•383 86 


2-605 1 


•933 58 





' 


Cos. 


Cot. 


Tan. 


Sin. 


' 



f 




Tan. 


Cot. 


COS. 


r 





•358 37 


•383 86 


2.605 1 


-933 58 


60 


1 


•358 64 


•384 20 


2.602 8 


-933 48 


59 


2 


•358 91 


•384 53 


2.600 6 


-933 37 


58 


3 


•359 18 


•384 87 


2.598 3 


-933 27 


57 


4 


•359 45 


•385 20 


2.596 1 


•933 16 


56 


5 


•359 73 


•385 53 


2-593 8 


•933 06 


55 


6 


■360 00 


•385 87 


2.591 6 


•932 95 


54 


7 


■360 27 


•386 20 


2.589 3 


•932 85 


53 


8 


■360 54 


■386 54 


2.587 1 


•932 74 


52 


9 


■360 81 


•386 87 


2.584 8 


•932 64 


51 


10 


■361 08 


•387 21 


2.582 6 


•932 53 


50 


11 


■3613.5 


•387 54 


2.580 4 


•932 43 


49 


12 


•361 62 


•387 87 


2.578 2 


•932 32 


48 


13 


•361 90 


•388 21 


2.575 9 


•932 22 


47 


14 


•362 17 


•388 54 


2.573 7 


•93211 


46 


15 


•362 44 


•388 88 


2-571 5 


■932 01 


45 


16 


•362 71 


•389 21 


2.569 3 


■931 90 


44 


17 


•362 98 


•389 55 


2-5671 


■931 SO 


43 


18 


•363 25 


■389 88 


2.564 9 


,931 69 


42 


19 


•363 52 


•390 22 


2.562 7 


■931 59 


41 


20 


,363 79 


•390 55 


2.560 5 


■931 48 


40 


21 


•364 06 


•390 89 


2^558 3 


■931 37 


39 


22 


•364 34 


•39122 


2-556 1 


■93127 


38 


23 


•364 61 


•391 56 


2.553 9 


■931 16 


37 


24 


■364 S8 


•391 90 


2.551 7 


■931 06 


36 


25 


■365 15 


•392 23 


2.549 5 


■930 95 


35 


26 


■365 42 


•392 57 


2.547 3 


■930 84 


34 


27 


■365 69 


•392 90 


2.545 % 


■930 74 


33 


28 


■365 96 


■393 24 


2.543 


■930 63 


32 


29 


■366 23 


■393 57 


2^540 8 


■930 52 


31 


30 


■266 50 


•393 91 


2^538 6 


■930 42 


30 


31 


•366 77 


•394 25 


2.536 5 


■930 31 


29 


32 


•367 04 


•394 58 


2.534 3 


■930 20 


28 




•367 31 


■394 92 


2.532 2 


■930 10 


27 


3: 


•367 58 


,395 26 


2.530 


■929 99 


26 


33 


•367 85 


■395 59 


2.527 9 


■929 88 


25 


36 


•368 12 


-395 93 


2^525 7 


■929 78 


24 


37 


•368 39 


-396 26 


2.523 6 


■929 67 


23 


38 


•368 67 


•396 60 


2^521 4 


■929 56 


22 


39 


•368 94 


•396 94 


2^519 3 


■929 45 


21 


10 


•369 21 


•397 27 


2.517 2 


•929 35 


20 


n 


•369 48 


•397 61 


2-515 


•929 24 


19 


M 


•369 7.5 


•397 95 


2.512 9 


•929 13 


18 


\Z 


•370 02 


•398 29 


2^5108 


•929 02 


\1 


H 


•370 29 


•398 62 


2508 6 


•928 92 


16 


15 


■370 56 


•398 96 


2.506 5 


•928 81 


15 


\(> 


■370 83 


•399 30 


2.504 4 


•928 70 


14 


\1 


•371 10 


•399 63 


2-502 3 


•928 59 


13 


\% 


•371 37 


•399 97 


2500 2 


•928 49 


12 


^9 


•371 64 


•400 31 


2.498 1 


■928 38 


11 


>0 


•371 91 


•400 65 


2.496 


■928 27 


10 


51 


•372 18 


■400 98 


2.493 9 


■928 16 


9 


52 


•372 4.5 


•401 32 


2.491 8 


■928 05 


8 


53 


■372 72 


■401 66 


2-489 7 


•927 94 


7 


54 


•372 99 


■402 00 


2.487 6 


•927 84 


6 


55 


■373 26 


•402 34 


2.485 5 


■927 73 


5 


56 


•373 53 


•402 67 


2.483 4 


■927 62 


4 


57 


•373 80 


•403 01 


2.481 3 


■927 51 


3 


58 


•374 07 


•403 35 


2.479 2 


■927 40 


2 


59 


•374 34 


•403 69 


2.477 2 


■927 29 


1 


60 


•374 61 


•404 03 


2.475 1 


•927 18 





/ 


Cos. 


Cot. 


Tan. 


Sin. 



110° (290 ) 



(249°) 69° 



111° (291°) 



(248) 68 



101 



[ConlinuecC) 



SP : 8 - 1970 



22° (202°) 



TABLE 7A NATURAL 
(337 ) 157 



FUNCTIONS —Conid 
23 (203 ) 



(336°) 156 






Sin. 


Tan. 
•404 03 


Cot. 


Cos. 


' 


•374 61 


2-475 1 


•927 18 


60 


1 


•374 88 


•404 36 


2.473 


•927 07 


59 


2 


•37515 


•404 70 


2^470 9 


•926 97 


58 


3 


■375 42 


•405 04 


2.468 9 


•926 86 


57 


4 


•375 69 


•405 38 


2^466 8 


•926 75 


56 


5 


•375 95 


•405 72 


2.464 8 


•926 64 


55 


6 


•376 22 


•406 06 


2.462 7 


•926 53 


54 


7 


•376 49 


•406 40 


2.460 6 


■926 42 


53 


8 


•376 76 


•406 74 


2^458 6 


•926 31 


52 


9 


•377 03 


■407 07 


2-436 6 


•926 20 


51 


10 


•377 30 


^07 41 


2454 5 


•926 09 


50 


11 


•377 y - 


•407 75 


2^452 5 


•925 98 


49 


12 


•408 09 


2-450 4 


•925 87 


48 


L3- 


■ 378 11 


•408 43 


2^448 4 






14 


•378 38 


•408 77 


2.446 4 


•925 76 
■925 65 


fiif 


15 


•378 65 


•409 11 


2'444 3 


■925 54 


45 


16 


•378 92 


•409 45 


2.442 3 


■925 43 


44 


17 


•37919 


•409 79 


2440 3 


•925 32 


43 


18 


•379 46 


•410 13 


2.438 3 


■925 21 


42 


19 


•379 73 


•410 47 


2.436 2 


•925 10 


41 


20 


•379 99 


•410 81 


2.434 2 


•924 99 




n 


-380 26 


•41115 


2,432 2 


■924 88 


3§ 


22 


■380 53 


•41149 


2-430 2 


■924 77 


38 


23 


•380 80 


•411 83 


2-42S 2 


•924 66 


37 


24 


•381 07 


•41217 


2.426 2 


•924 55 


3 6 


25 


•381 34 


•412 51 


2.424 2 


•924 44 


35 


26 


•38161 


•412 85 


2.422 2 


•924 32 


34 


27 


•381.88 


•413 19 


2^420 2 


•924 21 


33 


28 


•382 15 


•413 53 


2.418 2 


•924 10 


32 


29 


•382 41 


•413 87 


2.4162 


•923 99 


31 


30 


•382 68 


•414 21 


2.414 2 


•923 88 


30 


31 


•382 95 


•414 55 


2412 2 


•923 77 


29 


32 


•383 22 


•414 90 


2-410 2 


•923 66 


28 


33 


•383 49 


•415 24 


2-408 3 


•923 55 


27 


34 


•383 76 


•415 58 


2.406 3 


■923 43 


26 


35 


•384 03 


•415 92 


2.404 3 


•923 32 


25 


36 


•384 30 


•416 26 


2-402 3 




24 


37 


•384 56 


•416 60 


2-400 4 


•923 ID 


23 


38 


•384 83 


•416 94 


2.398 4 


•922 99 


22 


39 


•385 10 


■417 28 


2.396 4 


•922 87 


21 


40 


•385 37 


■417 63 


2.394 5 


•922 76 


20 


41 


•385 64 


•417 47 


2.392 5 


•922 65 


19 


42 


•385 91 


•418 31 


2-390 6 


•922 54 


18 


43 


•38617 


•418 65 


2.388 6 




17 


44 


•386 44 


•418 99 


2.386 7 


•922 n 


16 


45 


•386 71 


•419 33 


2.3847 


•922 20 


15 


46 


•386 98 


•419 68 


2.382 8 


•922 09 


14 


47 


•387 25 


•420 02 


2.380 8 


•921 98 


13 


48 


•387 52 


•420 36 1 


2.378 9 


•921 86 


12 


49 


•387 78 


•420 70 ' 


2.377 


•92] 75 


11 


50 


•388 05 


•421 0.5 


2-375 


•921 64 


10 


51 


■388 32 


•421 39 


2.373 1 


•921 52 


9 


52 


■388 59 


•421 73 


2.371 2 


•92141 


8 


53 


■388 86 


•422 07 


2-369 3 


•921 30 


7 


54 


■389 12 


•42242 


2-367 3 


•921 19 


6 


55 


■389 39 


•422 76 


2.365 4 


•921 07 


5 


56 


■389 66 


•423 10 


2.363 5 


•920 96 


4 


57 


■389 93 


-423 45 


2.361 6 


•920 85 


3 


58 


■390 20 


•423 79 


2-359 7 


•920 73 


2 


59 


■390 46 


•424 13 


2.357 8 


•920 62 


1 


60 


•3')0 73 


•424 47 


2-355 9 


•920 50 





Cos. 


Cot. 


Tan. 


Sin. 


f 






Sin 


Tan. 
•424 47 


Cot. 


Cos. 


60 


•39073 


2.355 9 


■920 50 


1 


•391 00 


•424 82 


2.353 9 


■920 39 


59 


2 


•39127 


•425 16 


2.352 


■920 28 


58 


3 


•39153 


•425 51 


2.350 1 


■920 16 


57 


4 


•391 80 


•425 85 


2.348 3 


■920 05 


56 


5 
6 


■mm. i!M 


■m%M 


m 2.3164 5 


%wm 


Si 54 


I 


■392 60 


•426 88 


2.342 6 


■919 71 


53 








■91959 


52 


9 


•392'353!?M 


mm m 


2.3402.338(8 


•919 48 


51 


10 


■393 41 


•427 91 


2.336 9 


•919 36 


50 


11 


■393 67 


•428 26 


2.335 1 


•919 25 


49 


12 


■393 94 


•428 60 


2.333 2 


•91914 


48 


13 


■394 21 


•428 94 


2.331 3 


•919 02 


47 


14 


■394 48 


•429 29 


2.329 4 


•918 91 


46 


ih 


■394 74 


•429 63 


2.327 6 


•918 79 


45 


16 


■395 01 


•429/98 


2.325 7 


•918 68 


44 


17 


•395 28 


•43632 


2.323 8 


•918 56 


43 


18 


•395 55 


■430 67 


2.322 


•918 45 


42 


19 


•395 81 


■431 01 


2-3201 


•918 33 


41 


20 


•396 08 


■431 36 


2318 3 


•918 22 


40 


21 


•396 35 


■431 70 


2.316 4 


•918 10 


39 


22 


•396 61 


■432 05 


2-3146 


•917 99 


38 


23 


•396 88 


■432 39 


2.312 7 


•917 87 


37 


24 


•397 5 


•432 74 


2-310 9 


•917 75 


36 


26 


•397 41 . 


•433 08 


2-309 


•917 64 


35 


27 


•39]'35H8J.i 


■433 43 


2-307 2 


mmwi. 


34 






■433 78 


2-305 3 




33 


28 


•398 22 


•434 12 


2-303 5 


•917 29 


32 


29 


•398 48 


•434 47 


2-301 7 


•917 18 


31 


30 


•398 75 


•434 81 


2.299 8 


•917 06 


30 


31 


,399 02 


•435 16 


2.298 


•916 94 


29 


32 


•399 28 


•435 50 


2.296 2 


•916 83 


28 


33 


•399 5.5 


•435 85 


2.294 4 


•916 71 


27 


34 


•399 82 


•436 20 


2.292 5 


•916 60 


26 


35 


•400 08 


•436 54 


2-290 7 


•916 48 


25 


36 


•400 35 


•436 89 


2.288 9 


•916 3'6 


24 


37 


•400 62 


•437 24 


2.287 1 


•916 25 


23 


38 


■400 88 


•437 58 


2.285 3 


■916 13 


22 


39 


•401 15 


•437 93 


2.283 5 


•916 01 


21 


40 


•401 41 


■438 28 


2.281 7 


•915 90 


20 


41 


•401 68 


■438 62 


2.279 9 


•915 78 


19 


42 


•401 95 


■438 97 


2-2781 


•915 66 


18 


43 


•402 21 


■439 32 


2.276 3 


•915 55 


17 


44 


•402 48 


■439 66 


2.274 5 


•915 43 


16 


45 


•402 75 


•440 01 


2.272 7 


•915 31 


15 


46 


•403 01 


■440 36 


2.270 9 


•915 19 


14 


47 


•403 28 


•440 71 


2.269 1 


•915 08 


13 


48 


•403 55 


•44105 


2.267 3 


•914 96 


12 


49 


•403 8] 


44140 


2.265 5 


•914 84 


11 


50 


•404 08 


-441 75 


2.263 7 


•914 72 


10 


51 


•404 34 


•44210 


2.262 


•914 61 


9 


52 


•404 61 


•442 44 


2-2602 


•914 49 


8 


53 


■404 88 


442 79 


2.258 4 


•914 37 


7 


54 


■405 14 


443 14 


2.256 6 


■914 25 


6 


55 


■405 41 


443 49 


2-254 9 


•91414 


5 


56 


■405 67 


•443 84 


2-2531 


•914 02 


4 


57 


■405 94 


•444 18 


22513 


•913 90 


3 


58 


■406 21 


•444 53 


2.249 6 


•913 78 


2 


59 


■406 47 


•444 88 


2-247 8 


■913 66 


1 


60 


■406 74 


•445 23 


2.246 


■913 55 





Cos. 


cot. 


Tan. 


Sin. 


r 



112 (292 ) 



(247°) 67° 



113° (293 ) 



(246 ) 66° 



102 



(Continued) 



SP : 8 - 1970 



TABLE 



24* (204°) 



7A NATURAL 
(335°) 155° 



FUNCTIONS 

25" (205°) 



Contd 



(334°) 154° 



t 


Sin. 


Tan. 


Cot, 


Cos. 


f 





•406 74 


■445 23 


2246 


■913 55 


1 


•407 00- 


■445 58 


2-244 3 


■913 43 


59 


2 


•407 27 


■445 93 


2.242 5 


■913 31 


58 


3 


•407 53 


■446 27 


2-2408 


■913 19 


57 


4 


•407 80 


446 62 


2.239 


■913 07 


56 


5 


•408 06 


■446 97 


2.237 3 


■912 95 


55 


6 


•408 33 


■447 32 


2.235 5 


■912 83 


54 


7 


•408 60 


■447 67 


2233 8 


•912 72 


53 


8 


•408 86 


448 02 


2^232 


•912 60 


52 


9 


•40913 


448 37 


2-230 3 


•912 48 


51 


M 


•409 39 


■448 72 


2.228 6 


•91236 


50 


11 


•409 66 


•449 07 


2.226 8 


•912 24 


49 


12 


•409 92 


•449 42 


2.225 1 


•912 12 


48 


13 


•410 19 


449 77 


2.223 4 


•912 00 


47 


14 


•41045 


■450 12 


22216 


•911 88 


46 


15 


•410 72 


■450 47 


2^219 9 


•911 76 


45 


16 


•410 98 


■450 82 


221 8 2 


■911 64 


44 


17 


•411 25 


■451 17 


2216 5 


■911 52 


43 


18 


•411 51 


■451 52 


2.214 8 


■91140 


42 


19 


•411 78 


■451 87 


2213 


■911 28 


41 


M 


•412 04 


■452 22 


2211 3 


■911 16 


40 


21 


•412 31 


•452 57 


2-209 6 


■91104 


39 


22 


•412 57 


■452 92 


2.207 9 


■910 92 


38 


23 


•412 84 


■453 27 


2-206 2 


■910 80 


37 


24 


•413 10 


•453 62 


2.204 5 


■910 68 


36 


25 


•413 37 


■453 97 


2.202 8 


■910 56 


35 


26 


•413 63, 


■454 32 


2.201 1 


■910 44 


34 


27 


■413 90 


■454 67 


2.199 4 


■910 32 


33 


28 


-414 16 


■455 02 


2.197 7 


■910 20 


32 


29 


•414 43 


■455 38 


2.196 


■910 08 


31 


30 


•414 69 


■455 73 


2-194 3 


■909 96 


30 


31 


•414 96 


■456 08 


2-192 6 


■909 84 


29 


32 


•415 22 


■456 43 


2190 9 


•909 72 


28 


33 


•415 49 


■456 78 


2-189 2 


■909 60 


27 


34 


•415 75 


■457 13 


2187 6 


■909 48 


26 


35 


•416 02 


■457 48 


2185 9 


■909 36 


25 


36 


•416 28 


■457 84 


2.184 2 


■909 24 


24 


37 


•416 55 


■458 19 


2.182 5 


■909 11 


23 


38 


■416 81 


■458 54 


2180 8 


•908 99 


22 


39 


•417 07 


•458 89 


2-179 2 


•908 87 


21 


M 


•417 34 


■459 24 


2.177 5 


■908 75 


20 


41 


■417 60 


■459 60 


2175 8 


■908 63 


19 


♦2 


•417 87 


■459 95 


2.174 2 


■908 51 


18 


43 


■41813 


•460 30 


2-172 5 


■908 39 


17 


H 


■418 40 


•460 65 


2170 8 


■908 26 


16 


«5 


■418 66 


•461 01 


2.169 2 


■908 14 


15 


46 


■418 92 


•461 36 


2167 5 


■908 02 


14 


♦7 


•419 19 


•461 71 


2-165 9 


■907 90 


13 


48 


•41945 


•462 06 


2.164 2 


■907 78 


12 


49 


•419 72 


•462 42 


2.162 5 


■907 66 


11 


50 


•419 98 


•462 77 


2-160 9 


•907 53 


10 


51 


•420 24 


■463 12 


2-159 2 


■907 41 


9 


52 


•420 51 


■463 48 


2.157 6 


■907 29 


8 


53 


•420 77 


■463 83 


2.156 


■907 17 


7 


54 


•421 04 


■464 18 


2.154 3 


■907 04 


6 


55 


•421 30 


■464 54 


2-152 7 


■906 92 


5 


56 


•421 56 


■464 89 


2.151 


■906 80 


4 


57 


•4?,1 83 


■465 25 


2149 4 


■906 68 


3 


58 


•422 09 


■465 60 


2.147 8 


■906 55 


2 


59 


•422 35 


■465 95 


2.146 1 


■906 43 


1 


60 


•422 62 


■466 31 


2144 5 


■906'31 





Cos. 


Cot. 


Tan.. 


Sin. 








Sin. 


Tan. 


Cot. 


Cos. 


60 


■422 62 


■466 31 


2.144 5 


■906 31 


1 


■422 88 


■466 66 


2142 


•906 18 


59 


2 


■42315 


■467 02 


2141 3 


■906 06 


58 


3 


■423 41 


■467 37 


2139 6 


■905 94 


57 


4 


■423 67 


■467 72 


2.138 


■905 82 


56 


5 


■423 94 


■468 08 


2136 4 


■905 69 


55 


6 


■424 20 


■468 43 


2.134 8 


■90S 57 


54 


7 


■424 46 


■468 79 


2.133 2 


■905 45 


53 


8 


■424 73 


■469 34 


2.131 5 


•905 32 


52 


9 


■424 99 


■469 50 


2.129 9 


■90S 20 


51 


10 


■425 25 


■469 85 


2128 3 


■905 07 


50 


11 


■425 52 


■470 21 


21 26 7 


■904 95 


49 


12 


■425 78 


•470 56 


2^125 1 


•904 83 


48 


13 


■426 04 


■470 92 


2.123 5 


•904 70 


47 


14 


,426 31 


■471 28 


21 21 9 


■904 58 


46 


15 


■426 57 


■471 63 


2.120 3 


■904 46 


45 


16 


■426 83 


■471 99 


2.118 7 


•904 33 


44 


17 


•427 09 


■472 34 


2.117 1 


•904 21 


43 


18 


•427 36 


■472 70 


2.115 5 


■904 08 


42 


19 


■427 62 


■473 05 


2.113 9 


■903 96 


41 


20 


■427 88 


■473 41 


2112 3 


■903 83 


40 


21 


•428 15 


■473 77 


2.110 7 


■903 71 


39 


22 


■428 41 


■474 12 


2.109 2 


•903 58 


38 


23 


■428 67 


■474 48 


2.107 6 


■903 46 


37 


24 


■428 94 


•474 83 


2106 


■903 34 


36 


25 


■429 20 


•475 19 


2.104 4 


■903 21 


35 


26 


■429 46 


■475 55 


2.102 8 


■903 09 


34 


27 


■429 72 


■475 90 


2.101 3 


•902 96 


33 


28 


■429 99 


■476 26 


2.099 7 


■902 84 


32 


29 


■430 25 


■476 62 


2.098 1 


,902 71 


31 


30 


■430 51 


■476 98 


2.096 5 


■902 59 


30 


■M 


■430 77 


■477 33 


2.095 


■902 46 


29 


32 


■43104 


■477 69 


2.093 4 


■902 33 


28 


33 


■431 30 


■478 05 


2.091 8 


•902 21 


27 


34 


■431 56 


•478 40 


2.090 3 


■902 08 


26 


35 


■431 82 


■478 76 


2.088 7 


■901 96 


25 


36 


■432 09 


■479 12 


2.087 2 


•901 83 


24 


37 


•432 35 


•479 48 


2.085 6 


•901 71 


23 


38 


■432 61 


,479 84 


2-084 


■901 58 


22 


39 


■432 87 


■48019 


2.082 5 


■901 46 


21 


40 


■433 13 


■480 55 


2.080 9 


•901 33 


20 


41 


•433 40 


■480 91 


2.079 4 


•901 20 


19 


42 


■433 66 


■481 27 


2.077 8 


•901 08 


18 


43 


■433 92 


■481 63 


2076 3 


•900 95 


17 


44 


■434 18 


•481 98 


2.074 8 


•900 82 


16 


45 


■434 45 


•482 34 


2.073 2 


•900 70 


15 


46 


■434 71 


•482 70 


2.071 7 


•900 57 


14 


47 


■434 97 


•483 06 


2070 1 


•900 45 


13 


48 


■435 23 


•483 42 


2.068 6 


■900 32 


12 


49 


•435 49 


•483 78 


2.067 1 


■900 19 


11 


50 


•435 75 


•484 14 


2.065 5 


■900 07 


10 


SI 


•436 02 


■484 50 


2.064 


■899 94 


9 


52 


•436 28 


■484 86 


2.062 5 


■899 81 


8 


53 


-•436 54 


■485 21 


2060 9 


■899 68 


7 


S4 


•436 80 


■485 57 


2059 4 


■899 56 


6 


55 


•437 06 


■485 93 


2.057 9 


■899 43 


5 


56 


•437 33 


•486 29 


2056 4 


■899 30 


4 


57 


•437 59 


■486 65 


2.054 9 


■899 18 


3 


58 


•437 85 


■487 01 


2.053 3 


•899 05 


2 


S9 


•438 11 


■487 37 


2051 8 


•898 92 


1 


60 


■438 37 


■487 73 


2.050 3 


•898 79 





Cos, 


cot. 


Tan. 


Sin. 


' 



114° (294°) 



(245°) 65° 115'' (295°) 



(244") 64" 



103 



{Continued) 



SP : 8 - 1970 



26° (206°) 



TABLE 7A NATURAL FUNCTIONS —Contd 
(333 ) 153 27 (207 ) 



(332°) 152° 



' 


Sin. 


Tan. 


Cot. 


Cos. 





•438 37 


•487 73 


2-050 3 


•898 79 


60 


1 




•488 09 


2.048 8 


•898 67 


59 


3 


438-43««89 


•488 45 


2.047 3 


•898 54 


58 


4 


4!94394216 


-488 81 


2.045 8 


•898 41 


57 


5 
6 




•489 17 


2^044 3 


•898 28 


56 


•4354399468 


•489 53 


2-042 8 


•898 16 


55 






•489 89 


2.041 3 


•898 03 


54 


7 


•440 20 


•490 26 


2-039 8 


•897 90 


53 


8 




•490 62 


2^038 3 


•897 77 


52 


9 
10 

11 


■44(l'44046i2 


•490 98 


2.036 8 


•897 64 


51 


«124'44088 


•491 34 


2.035 3 


,897 52 


50 






•491 70 


2.033 8 


•897 39 


49 


12 


44151 


•492 06 


2.032 3 


•897 26 


48 


13 




•492 42 


2030 8 


•897 13 


47 


14 


441(1 '44203 


•492 78 


2^029 3 


•897 00 


46 


15 




•493 15 


2-027 8 


•896 87 


45 


16 


•442'4422955 


•493 51 


2-026 3 


•896 74 


44 


17 




•493 87 


2.024 8 


•896 62 


43 


18 


442-4438101 


•494 23 


2-023 3 


•896 49 


42 


19 


•443 33 


•494 59 


2021 9 


•896 36 


41 


20 












21 


•443443 8iSS 


•494 9s 


2-020 4 


•896 23 


40 






•495 32 


2.018 9 


•896 10 


39 


22 


•444 11 


•495 68 


2017 4 


•895 97 


38 


23 


•444 37 


•496 04 


2-016 


•895 84 


37 


24 


■444 64 


•496 40 


2^014 5 


•895 71 


36 


25 


•444 90 


•496 77 


2.013 


•895 58 


35 


■'.6 


445 16 


•497 13 


2011 5 


•895 45 


34 


27 




•497 49 


20101 


•895 32 


33 


28 


•44S445 42 88 


•497 86 


2.008 6 


•895 19 


32 


29 


•445 94 


•498 22 


2^007 2 


•895 06 


31 


30 


•446 20 


•498 58 


2005 7 


•894 93 


30 


31 


•446 46 


•498 94 


2^004 2 


•894 80 


29 


32 




•499 31 


2.002 8 


•894 67 


28 


33 


446 446I2J8 


•499 67 


2001 3 


•894 54 


27 


34 


447 24 


•500 04 


1^999 9 


•894 41 


26 


36 


447 50 


•500 40 


1^998 4 


•894 28 


25 


37 


•447448 02 56 


•500 76 


1^997 


■894 15 


24 






•501 13 


1.995 5 


•894 02 


23 


38 


448 28 


•501 49 


1.994 1 


•893 89 


22 


39 


•448 54 


•501 85 


1^992 6 


•893 76 


21 


40 


•448 80 


•502 22 


1^991 2 


•893 63 


20 


42 


449 O-i 


■502 58 


1989 7 


•893 so 


19 


43 


449 '449 « 32 


•502 95 


r988 3 


•893 37 


18 






•503 31 


1.986 8 


•893 24 


17 


44 


449 84 


•503 68 


1^985 4 


•893 11 


16 


45 




■504 04 


1^984 


•892 98 


15 


46 


•4S(1'45(I1036 


■504 41 


1^982 5 


■892 85 


14 


47 


•450 62 


■504 77 


1-9811 


■892 72 


13 


48 


•450 88 


■505 14 


1^979 7 


•892 59 


12 


49 


•451 14 


•505 so 


1^978 2 


•892 45 


1 1 


50 


•451 40 


•505 87 


V976 8 


•892 32 


.0 


51 




•506 23 


1-975 4 


•892 19 


9 


53 


•4il'4il 8852 


■506 60 


1.974 


•892 06 


8 


54 


4S2'4)2 4318 


■506 96 


1.972 5 


•891 93 


7 






■507 33 


1.971 1 


•891 80 


6 


55 


•452 69 


•507 69 


1^969 7 


•891 67 


5 


56 




■508 06 


1^968 3 


•891 53 


4 


57 


■4S2'4539521 


■508 43 


1.966 9 


•891 40 


3 


58 


•453 47 


■508 79 


1.965 4 


•891 27 


2 


59 


•453 73 


■509 16 


1.964 


•891 14 


1 


60 

r 


•453 99 


•509 53 


1^962 6 


•891 01 

Sin. 




r 


COS. 


Cot. 


T?^. 



f 




Sin. 


Tan. 


Cot. 


Cos. 


60 


•453 99 


■509 53 


1^962 6 


•891 01 


1 




■509 89 


1^961 2 


•890 87 


59 


2 


•4S4'454 2iSl 


■510 26 


1^959 8 


•890 74 


58 


3 




•510 63 


1^958 4 


•890 61 


57 


4 


•454'4!i I! 03 


•510 99 


1957 


•890 48 


56 


5 




•51136 


1-955 6 


•890 3s 


55 


6 


•45S45i 2SS4 


•511 73 


1.954 2 


•890 21 


54 






■512 09 


1-952 8 


•890 08 


53 


3 


■45i'4iM0 06 


a.51246 


1951 4 


•889 9s 


52 


9 


•456 32 


•512 83 


1^950 


•889 81 


SI 


10 




■51319 


1^948 6 


■889 68 


50 


12 


■4JJ-4S«i84 


•513 56 


1,947 2 


•889 55 


49 


13 


•4S]-45n8M 


■513 93 


1^945 8 


■889 42 


48 






■514 30 


1-944 4 


■889 28 


47 


14 


•457 62 


■514 67 


1^943 


■889 15 


46 


15 


•457 87 


■515 03 


1^941 6 


■889 02 


45 


16 




■515 40 


1940 2 


■888 88 


44 


17 


•4S8-4S8 133S 


■515 77 


1^938 8 


■888 75 


43 


18 




■516 14 


1937 5 


■888 62 


42 


19 
20 

21 


•458-458 S g 


•516 51 


1^9361 


■888 48 


41 


■459-459 42 li 


•516 88 


1^934 7 


•888 35 


40 






■517 24 


1.933 3 


•888 22 


39 


22 




■51761 


19319 


•888 08 


38 


23 


-459-459 8894 


■517 98 


1^930 6 


•887 95 


37 


24 


•460 20 


■518 35 


1-929 2 


•887 82 


36 


25 




■518 72 


1^927 8 


•887 68 


35 


26 


•4«0-4S(148i2 


■519 09 


1926 5 


•887 5s 


34 


27 




■519 46 


19251 


•887 41 


33 


28 


■4«0-461 SI 23 


■519 83 


1.923 7 


■887 28 


32 


29 


•461 49 


■520 20 


1^922 3 


•887 15 


31 


31 


•461 75 


■520 57 


1^921 


•887 01 


30 


32 


•462 01 


■520 94 


1-919 6 




29 




■462 26 


■52131 


1.918 3 


'886 U 


28 


33 


■462 52 


■521 68 


1-916 9 




27 


34 


■462 78 


■522 05 


1^915 5 


•8§6tf 


26 


35 


•463 04 


■522 42 


19142 


•886 34 


25 


36 




•522 79 


1.912 8 




24 


38 


•46J-463 30 a 


■523 16 


1911 5 


•886 m 


23 


39 


■4i34«4 05 81 


•523 53 


1^9101 




22 






•523 90 


1.908 8 


•8a5 gg 


21 


40 


•464 33 


■524 27 


r907 4 


•885 66 


20 


41 




■524 64 


1.906 1 




19 


42 


•4(i4-,4M «84 


•525 01 


1^904 7 


•885 SS 


18 


43 


•465 10 


•525 38 


1.903 4 




17 


44 


•465 36 


•525 7s 


1^902 


•885 28 


16 


45 


•465 61 


•526 13 


1900 7 


•884 99 


15 


47 


•465 87 


•526 SO 


1^899 3 




14 


48 


■466-4J6 3813 


•526 87 


1^898 


•884 m 


13 






•527 24 


1896 7 




12 


49 


•466 64 


•527 61 


1-895 3 


•884 #8 


11 


50 




•527 98 


1-894 


•884 31 


10 


51 


■4«i-46n016 


•528 36 


1892 7 




9 


52 




•528 73 


1891 3 


•884 m 


8 


53 


■4«]4«H2 6i 


•529 10 


1.890 






54 


•467 93 


■529 47 


1888 7 


•§83 m 


a 


55 












56 


•4«8-468 4419 


■529 85 


1^887 3 




5 


57 




■530 22 


1^886 


■883 49 


4 


58 


-468-4(8 98 iO 


■530 59 


1^884 7 


■883 36 


3 






■530 96 


1883 4 


■883 22 


2 


59 


469 21 


■531 34 


1^882 


•883 08 


1 


60 


•469 47 


■53171 


1^880 7 


•882 95 





Cos. 


Cot. 


Tan. 


Sin. 


f 



116° (296°) 



(243°) 63° il7° (297°) 



(242°) 62° 



104 



[Continued) 



SP : 8 - 1970 



28" (208") 



TABLE 7A NATURAL FUNCTIONS —Contd 
(331") ISl" 29" (209") 



OSO") ISO" 



/ 


Sin. 


Tan. 


Cot. 


Cos. 


/ 





.469 47 


•53171 


1.880 7 


•882 95 


60 


1 


•469 73 


•532 08 


1.879 4 


•882 81 


59 


2 


469 99 


•532 46 


1-8781 


•882 67 


58 


3 


•470 24 


■532 83 


1.876 8 


•882 54 


57 


4 


•470 50 


■533 20 


1.875 5 


•882 40 


56 


5 


•470 76 


■533 58 


1.874 1 


•882 26 


55 


6 


•471 01 


•533 95 


1.872 8 


•88213 


54 


7 


•471 27 


•534 32 


1.871 5 


•881 99 


53 


8 


•471 53 


-534 70 


1.870 2 


•88185 


52 


9 


•471 78 


•535 07 


1.868 9 


•881 72 


51 


10 


•472 04 


•535 45 


1.867 6 


•881 58 


50 


11 


•472 29 


■535 82 


1.866 3 


•881 44 


49 


12 


•472 55 


•536 20 


1.865 


•881 30 


48 


13 


•472 81 


•536 57 


1.863 7 


■881 17 


47 


14 


•473 06 


■536 94 


1.862 4 


■881 03 


46 


15 


•473 32 


■537 32 


1.861 1 


•880 89 


45 


16 


•473 58 


■537 69 


1.859 8 


•880 75 


44 


17 


,473 83 


■538 07 


1.858 5 


•880 62 


43 


18 


■474 09 


■538 44 


1-857 2 


-880 48 


42 


19 


•474 34 


■538 82 


1.855 9 


•880 34 


41 


20 


•474 60 


■539 20 


1.854 6 


•G80 20 


40 


21 


•474 86 


■539 57 


1.853 3 


•880 06 


39 


22 


•475 11 


■539 9.5 


1.852 


•879 93 


38 


23 


•475 37 


■540 32 


1-850 7 


•879 79 


37 


24 


•475 62 


■540 70 


1.849 5 


•879 65 


36 


25 


•475 88 


■541 07 


1.848 2 


•879 51 


35 


26 


■476 14 


•541 45 


1.846 9 


•879 37 


34 


27 


•476 39 


•541 83 


1.845 6 


■879 23 


33 


28 


•476 65 


•542 20 


1.844 3 


•879 09 


32 


29 


•476 90 


•542 58 


1.843 


•878 96 


31 


30 


•477 16 


•542 96 


1.841 8 


•878 82 


30 


31 


•477 41 


•543 33 


1-840 5 


•878 68 


29 


32 


•477 67 


•543 71 


1.839 2 


■878 54 


28 


33 


•477 93 


■544 09 


1.837 9 


■878 40 


27 


34 


■478 18 


■544 46 


1.836 7 


■878 26 


26 


35 


■478 44 


•544 84 


1.835 4 


-878 12 


25 


36 


•478 69 


■545 22 


1^834 1 


-877 98 


24 


37 


•478 95 


■545 60 


1.832 9 


-877 84 


23 


38 


•479 20 


■545 97 


1.831 6 


-S77 70 


22 


39 


•479 46 


■546 35 


1-830 3 


-877 56 


21 


40 


•479 71 


■546 73 


1.829 1 


-877 43 


20 


41 


■479 97 


■54711 


1.827 8 


-877 29 


19 


42 


•480 22 


■547 48 


1.826 5 


-877 15 


18 


43 


■480 48 


■547 86 


1.825 3 


-877 01 


17 


44 


■480 73 


■548 24 


1^824 


•876 87 


16 


45 


■480 99 


■548 62 


1.822 8 


•876 73 


15 


46 


■481 24 


■549 00 


18215 


■876 59 


14 


47 


■481 50 


■549 38 


1-820 2 


■876 45 


13 


48 


■481 75 


■549 75 


1.819 


■876 31 


12 


49 


■482 01 


■55013 


1,817 7 


■876 17 


11 


50 


•482 26 


•550 51 


1.816 5 


■876 03 


10 


51 


•482 52 


•550 89 


1.815 2 


■875 89 


9 


52 


•482 77 


•55127 


1.814 


■875 75 


8 


S3 


•483 03 


•55165 


1.812 7 


■875 61 


7 


54 


•483 28 


•552 03 


1.811 5 


■875 46 


6 


55 


•483 54 


•552 41 


1'8103 


■875 32 


5 


56 


•483 79 


•552 79 


1809 


■875 18 


4 


57 


■484 05 


■55317 


1.807 8 


■875 04 


3 


58 


•484 30 


■553 55 


1.806 5 


■874 90 


2 


59 


■484 56 


■553 93 


1.805 3 


■874 76 


1 


60 


•484 81 


■554 31 


1.804 


■874 62 





1 


Cos. 


Cot. 


Tan. 


Sin. 





IW (298") 



(241") 61" 119° (299") 



105 



f 




Sin. 


Tan. 


Cot. 


Cos. 


f 

60 


■484 81 


■554 31 


1.804 


-874 62 


1 


•485 06 


■554 69. 


1.802 8 


■874 48 


5 9 


2 


•485 32 


■555 07 


1.801 6 


■874 34 


58 


3 


■485 57 


■555 45 


1-800 3 


■874 20 


57 


4 


■485 83 


■555 83 


1.799 1 


■874 06 


56 


5 


■486 08 


•55621 


1.797 9 


■873 91 


55 


6 


■486 34 


•556 59 , 


1.796 6 


■873 77 


54 


7 


■486 59 


•556 97 ; 


1795 4 


■873 63 


53 


8 


■486 84 


•557 36 


1-794 2 


■873 49 


52 


9 


■487 10 


•557 74 


1.793 


•873 35 


51 


10 


•487 35 


•55812 


1-791 7 


■873 21 


50 


11 


•487 61 


•558 50 1 


1.790 5 


■873 06 


49 


12 


•487 86 


■558 88 


1.789 3 


■872 92 


48 


13 


■488 11 


■559 26 


1-7881 


■872 78 


47 


14 


■488 37 


■559 64 


1-786 8 


•872 64 


4 6 


15 


■488 62 


•560 03 


1.785 6 


•872 50 


45 


16 


■488 88 


■560 41 


1-784 4 


•872 35 


44 


17 


■489 13 


•560 79 


1.783 2 


■872 21 


43 


18 


•489 38 


•561 17 


1.782 


•872 07 


42 


19 


■489 64 


•561 56 


r780 8 


■871 93 


41 


20 


•489 89 


•561 94 


1.779 6 


■871 78 


40 


21 


•490 14 


•562 32 


1.778 3 


•871 64 


39 


22 


•490 40 


•562 70 


1.777 1 


•871 50 


38 


23 


•490 65 


■563 09 


1^775 9 


•871 36 


37 


24 


•490 90 


■563 47 


1.774 7 


•871 21 


36 


25 


•491 16 


•563 85 


1,773 5 


•871 07 


35 


26 


■491 41 


•564 24 


1.772 3 


•870 93 


34 


27 


■491 66 


-564 62 


1.771 1 


•870 79 


33 


28 


■491 92 


-565 01 


1.769 9 


•870 64 


32 


29 


■492 17 


•565 39 


1.768 7 


•870 50 


i 1 


30 


•492 42 


•565 77 


1.767 5 


■870 36 


3 


31 


•492 68 


•566 16 


1.7663 


■870 21 


29 


32 


•492 93 


•566 54 


1.765 1 


■870 07 


I 8 


33 


•493 18 


•566 93 


1.7639 


•869 93 


27 


34 


•493 44 


•567 31 


1.762 7 


•869 78 


26 


35 


•493 69 


•567 69 


1.761 5 


•869 64 


25 


36 


•493 94 


•568 08 


1760 3 


•869 49 


2 4 


37 


•494 19 


•568 46 


1^759 1 


•869 35 


23 


38 


•494 45 


•568 85 


r757 9 


•869 21 


22 


39 


•494 70 


•569 23 


V756 7 


•869 06 


21 


40 


494 95 


•569 62 


1-755 6 


•868 92 


20 


41 


•4952.1 


•570 00 


1-754 4 


•868 78 


19 


42 


•495 46 


i ^570 39 


. r7S3 2 


•868 63 


18 


43 


■495 71 


•570 78 


1^752 


■868 49 


17 


44 


■495 96 


•571 16 


1-750 8 


•868 34 


16 


45 


■496 22 


•571 55 


1-749 6 


•868 20 


15 


46 


■496 47 


•571 93 


1-748 5 


•868 05 


14 


47 


■496 72 


•572 32 


1-747 3 


•867 91 


13 


48 


' -496 97 


•572 71 


1.746 1 


■867 77 


12 


49 


■497 23 


•573 09 


1-744 9 


•867 62 


11 


50 


■497 48 


-573 48 


1.743 7 


•867 48 


10 


51 


•497 73 


-573 86 


1.742 6 


•867 33 


9 


52 


•497 98 


-574 25 


1-741 4 


•867 19 


8 


53 


•498 24 


-574 64 


1-740 2 


■867 04 


7 


54 


•498 49 


-575 03 


1.739 1 


■866 90 


6 


55 


•498 74 


•575 41 


1.737 9 


■866 75 


5 


56 


•498 99 


•575 80 


1.736 7 


■866 61 


4 


57 


•499 24 


•576 19 


1'735 5 


,866 46 


3 


58 


•499 50 


■576 57 


1-734 4 


■866 32 


2 


59 


•499 75 


•576 96 


1.733 2 


■86617 


1 


60 








■866 03 







COS. 


cot. 


Tan. 


Sin. 




•500 QQ 


•577 35 


1.732 1 








(240°) 60° 



SP : 8 - 1970 



30"> (210°) 



TABLE 7A NATURAL FUNCTIONS — Contd 

(329") 149" 31" (211') 



(328"') 148'> 



/ 


Sin. 


Tan. 


Cot. 


Cos. 


r 

60 




r 


Sin. 


Tan. 


Cot. 


Cos. 







•500 00 


•577 35 


1.732 1 


•866 03 





•515 04 


-600 86 


1.664 3 


•857 17 


60 


1 


•500 25 


•577 74 


1.730 9 


•865 88 


59 




1 


•SIS 29 


•601 26 


1.663 2 


•857 02 


59 


2 


•500 50 


•578 13 


1'729 7 


•865 73 


58 




2 


•515 54 


•601 65 


1.662 1 


•856 87 


58 


3 


•500 76 


•578 51 


1-728 6 


•865 59 


57 




3 


•515 79 


•602 05 


1.661 


•856 72 


57 


4 


•501 01 


•578 90 


1-727 4 


-865 44 


56 




4 


•616 04 


•602 45 


1.659 9 


•856 57 


56 


5 


•501 26 


•579 29 


1726 2 


-865 30 


55 




5 


•516 28 


•602 84 


1.658 8 


•856 42 


55 


6 


•501 51 


•579 68 


1.725 1 


-865 IS 


54 




6 


•516 53 


•603 24 


1^6S7 7 


•856 27 


54 


7 


•501 76 


-580 07 


1^723 9 


•865 01 


53 




7 


•516 78 


•603 64 


1656 6 


•856 12 


53 


8 


•502 01 


•580 46 


1.722 8 


•864 86 


52 




8 


•517 03 


•604 03 


1.655 5 


•855 97 


52 


9 


•502 27 


•580 85 


1721 6 


•864 71 


51 




9 


•517 28 


•604 43 


1.654 5 


•855 82 


51 


10 


♦S02 52 


•581 24 


1.720 5 


•864 57 


5 




10 


•517 53 


•604 83 


1-653 4 


•855 67 


50 


11 


•502 77 


•581 62 


1719 3 


•864 42 


4 9 




11 


•517 78 


•605 22 


1.652 3 


•855 51 


49 


12 


•503 02 


•582 01 


1^718 2 


•864 27 


48 




12 


•518 03 


•605 62 


165J 2 


•855 36 


48 


13 


•503 27 


•582 40 


1.717 


-864 13 


47 




13 


•518 28 


•606 02 


1.656 1 


•855 21 


47 


14 


•503 52 


•582 79 


1^715 9 


-863 98 


46 




14 


•518 52 


•606 42 


1.649 


•855 06 


46 


15 


•503 77 


•583 18 


1.714 7 


-863 84 


45 




15 


•518 77 


•606 81 


1.647 9 


•854 91 


45 


16 


•504 03 


•583 57 


1.713 6 


•863 69 


44 




16 


•519 02 


•607 21 


1.646 9 


•854 76 


44 


17 


•504 28 


•583 96 


1712 4 


•863 54 


43 




17 


•519 27 


•607 61 


1-645 8 


•854 61 


43 


18 


-•504 53 


•584 35 


t-711 3 


•863 40 


42 




18 


•519 52 


•608 01 


1644 7 


■854 46 


42 


19 


•504 78 


•584 74 


1-710 2 


•863 25 


41 




19 


•519 77 


•608 41 


1643 6 


•854 31 


41 


20 


•505 03 


•585 13 


1709 


•863 10 


40 




20 


•520 02 


•608 81 


1642 6 


•854 16 


40 


21 


•505 28 


•585 52 


1^707 9 


•862 95 


39 




21 


•520 26 


•609 21 


1^641 5 


•854 01 


39 


22 


•505 53 


•585 91 


1706 7 


•862 81 


38 




22 


•520 51 


•609 60 


1640 4 


•853 85 


38 


23 


•505 78 


•586 31 


1705 6 


•862 66 


37 




23 


•520 76 


•610 00 


1639 3 


•853 70 


37 


24 


•506 03 


•586 70 


1.704 5 


•862 51 


36 




24 


•521 01 


•610 40 


1638 3 


•853 55 


36 


:25 


•506 28 


•587 09 


1^703 3 


•862 37 


35 




25 


•521 26 


•610 80 


1.637 2 


•853 40 


35 


26 


•506 54 


•587 48 


1.702 2 


•862 22 


34 




26 


•521 51 


•611 20 


1.636 1 


•853 25 


34 


27 


•506 79 


•587 87 


1.701 1 


•862 07 


33 




27 


•521 75 


•611 60 


1.635 1 


•853 10 


33 


28 


•507 04 


•588 26 


1.699 9 


•861 92 


32 




28 


•522 00 


•612 00 


1.634 


•852 94 


32 


29 


•507 29 


•588 65 


1698 8 


-861 78 


31 




29 


•522 25 


•612 40 


1.632 9 


•852 79 


31 


30 


•507 54 


•589 05 


1697 7 


-861 63 


30 




30 


•522 SO 


•612 80 


1.631 9 


•852 64 


30 


31 


•507 79 


•589 44 


1.696 S 


-861 48 


29 




31 


•522 75 


•613 20 


1.630 8 


■852 49 


29 


32 


•508 04 


•589 83 


1.695 4 


•861 33 


28 




32 


•522 99 


■613 60 


1629 7 


•852 34 


28 


33 


•508 29 


•590 22 


1694 3 


•861 19 


27 




33 


•523 24 


•614 00 


1.628 7 


•85218 


27 


34 


•508 54 


•590 61 


1.693 2 


•861 04 


26 




34 


•523 49 


•614 40 


1.627 6 


•852 03 


26 


35 


•508 79 


•591 01 


1.692 


•860 89 


25 




35 


•523 74 


•614 80 


1.626 5 


•851 88 


25 


36 


•509 04 


•591 40 


1.690 9 


•860 74 


24 




36 


•523 99 


•615 20 


1.625 5 


-851 73 


24 


37 


•509 29 


•591 79 


1.689 8 


•860 59 


23 




37 


•524 23 


•615 61 


1.624 4 


-851 57 


23 


38 


•509 54 


•592 18 


1.688 7 


■860 45 


22 




38 


•524 48 


•616 01 


1.623 4 


•851 42 


22 


39 


•509 79 


•592 58 


1.687 5 


•860 30 


21 




39 


•524 73 


•616 41 


1.622 3 


•851 27 


21 


40 


•510 04 


•592 97 


1686 4 


•860 15 


20 




40 


■524 98 


•616 81 


1.621 2 


•851 12 


2a 


41 


•510 29 


•593 36 


1685 3 


•860 00 


19 




41 


•525 22 


•617 21 


1620 2 


•850 96 


19 


42 


•510 54 


•593 76 


1.684 2 


•859 85 


18 




42 


•525 47 


•617 61 


1.619 1 


•850 81 


18 


43 


•510 79 


•594 15 


1 -m 1 


•859 70 


17 




43 


•525 72 


•618 01 


1.618 1 


•850 66 


17 


44 


•511 04 


•594 54 


1.682 


-85956 


16 




44 


•525 97 


•618 42 


1617 


•850 51 


16 


45 


•511 29 


•594 94 


1.680 8 


•8S9 41 


L 5 




45 


•526 21 


•618 82 


1616 


•850 35 


15 


46 


•511 54 


•595 33 


1-679 7 


•859 26 


14 




46 


•526 46 


•619 22 


1-614 


•850 20 


14 


47 


•51179 


•595 73 


1-678 6 


•859 11 


13 




47 


•526 71 


•619 62 


1-613 8 


•850 05 


13 


48 


•512 04 


•596 12 


1.677 S 


■858 96 


12 




48 


•526 96 


•620 03 


1.612 8 


•849 89 


12 


49 


•512 29 


-596 51 


1-676 4 


■858 81 


11 




49 


■527 20 


•620 43 


1-611 8 


•849 74 


11 


50 


■512 54 


•596 91 


1.675 3 


•858 66 


10 




50 


•527 45 


•620 83 


1610 7 


•849 59 


10 


51 


•512 79 


•597 30 


1.674 2 


•858 51 


9 




51 


•527 70 


■621 24 


1609 7 


•849 43 


9 


52 


•513 04 


•597 70 


1.673 1 


•858 36 


8 




52 


•527 94 


■621 64 


1608 7 


•849 28 


8 


S3 


•513 29 


•598 09 


1-672 


•858 21 


7 




53 


a.528 19 


■622 04 


1607 6 


•849 13 


7 


54 


•513 54 


•598 49 


1.670 9 


•858 06 


6 




54 


•528 44 


•622 45 


1-606 6 


•848 97 


6 


55 


•513 79 


•598 88 


1.669 8 


•857 92 


5 




55 


•528 69 


•622 85 


1-605 5 


•848 82 


5 


56 


■514 04 


•599 28 


1-668 7 


•857 77 


4 




56 


•528 93 


•623 25 


1.604 5 


•848 66 


4 


57 


■514 29 


•599 67 


1-667 6 


•857 62 


3 




57 


•52918 


•623 66 


1.603 4 


•848 SI 


3 


58 


•514 54 


•600 07 


1-666 5 


■857 47 


2 




58 


•529 43 


•624 06 


1.602 4 


•848 36 


2 


59 


•514 79 


•600 46 


1-665 4 


■857 32 


1 




59 


•529 67 


■624 46 


1.601 4 


•848 20 


1 


ibo 


•515 04 


•600 86 


1.664 3 


•85717 







60 


•529 92 


■624 87 


1-600 3 


•848 05 





' 


Cos. 


Cot. 


Tan. 


Sin. 


/ 


1 


Cos. 


Cot. 


Tan. 


Sin. 


f 


12t° 


(300°) 






(239°) 59° 




21° 


(301°) 






(238 


"si 



10( 



(Continued) 

























SP : 8 - lf7» 








TABLE 7A NATURAL FUNCTIONS — 


Contd 






33° (212") 






(327) 


147' 


33° (213 ) 






(326°> 146 


/ 


Sin. 


Tan. 


Cot. 


Cos. 


/ 






Sin. 


Tan. 


Cot. 


Cos. 


f 





•529 92 


•624 87 


1600 3 


■848 05 


60 





•544 64 


•649 41 


1^539 9 


■838 67 


60 


1 


•53017 


■625 27 


1^599 3 


■847 89 


59 




1 


•544 88 


■649 82 


1538 9 


■838 51 


59 


2 


•530 41 


•625 68 


1.598 3 


■847 74 


58 




2 


•545 13 


■650 24 


1.537 9 


■838 35 


58 


3 


•530 66 


■626 08 


1.597 2 


•847 59 


57 




3 


•545 37 


•650 65 


1.536 9 


■83819 


57 


4 


•530 91 


•626 49 


1.596 2 


•847 43 


56 




4 


•545 61 


•651 06 


1.535 9 


■838 04 


56 


5 


■53115 


•626 89 


1595 2 


•847 28 


55 




5 


•545 86 


■651 48 


1535 


-837 88 


55 


6 


•531 40 


•627 30 


1.594 1 


•847 12 


54 




6 


•546 10 


■651 89 


1.534 


•837 72 


54 


7 


•531 64 


•627 70 


1-5931 


•846 97 


53 




7 


•546 3.5 


■652 31 


; 1-533 


•837 56 


53 


8 


•531 89 


•628 11 


1.592 1 


•846 81 


52 




8 


a.546 59 


■652 72 


1.532 


•837 40 


52 


9 


•532 14 


■628 52 


1.591 1 


•846 66 


51 




9 


•546 83 


■653 14 


1-5311 


•837 24 


51 


10 


•532 38 


■628 92 


1.590 


•846 50 


50 




10 


•547 08 


■653 55 


1.530 1 


•837 08 


50 


11 


•532 63 


■629 33 


1.589 


•846 35 


49 




11 


■547 32 


■653 97 


1.529 1 


•836 92 


49 


12 


•532 88 


■629 73 


1.588 


•846 19 


48 




12 


■547 56 


■6.54 38 


1-528 2 


•836 76 


4 8 


13 


•533 12 


■630 14 


1-586 9 


■846 04 


47 




13 


■547 81 


•654 80 


1-.527 2 


•836 60 


47 


14 


•533 37 


■630 55 


1.585 9 


■845 88 


46 




14 


■548 05 


•655 21 


1-526 2 


•836 45 


46 


15 


•533 61 


•630 95 


1.584 9 


■845 73 


45 




15 


•548 29 


•655 63 


1.525 3 


•836 29 


45 


16 


•533 86 


•631 36 


1.583 9 


•845 57 


44 




16 


•548 54 


•656 04 


1^524 3 


•836 13 


44 


17 


•53411 


•631 77 


1.582 9 


•845 42 


43 




17 


•548 78 


•656 46 


1.523 3 


•835 97 


43 


18 


•534 35 


•632 17 


1.581 8 


•845 26 


42 




18 


■549 02 


•656 88 


1.522 4 


•835 81 


42 


19 


•534 60 


•632 58 


1.580 8 


•845 11 


41 




19 


•549 27 


•657 29 


1.521 4 


•835 65 


41 


20 


■534 84 


•632 99 


1-.S79 8 


■844 95 


40 




20 


•549 51 


■657 71 


1520 4 


•835 49 


40 


21 


•535 09 


■633 40 


1.578 8 


-844 80 


39 




21 


■549 75 


■658 13 


1.519 5 


•835 33 


39 


22 


•535 34 


■633 80 


1.577 8 


-844 64 


38 




22 


•549 99 


■658 54 


1.518 5 


•835 17 


38 


23 


•535 58 


■634 21 


1.576 8 


-844 48 


37 




23 


•550 24 


•658 96 


1.517 5 


•835 01 


37 


24 


■535 83 


■634 62 


1.575 7 


•844 33 


36 




24 


■550 48 


■659 38 


1.516 6 


■834 85 


36 


25 


■536 07 


■635 03 


1.574 7 


-844 17 


35 




25 


■550 72 


•659 80 


1.515 6 


■834 69 


35 


26 


•53632 


•635 44 


1.573 7 


-844 02 


34 




26 


■550 97 


•660 21 


1.514 7 


■834 53 


34 


27 


•536 56 


•635 84 


1.572 7 


-843 86 


33 




27 


■551 2i 


•660 63 


1.513 7 


•834 37 


33 


28 


•536 81 


•636 25 


1.571 7 


-843 70 


32 




28 


■551 45 


•661 05 


1.512 7 


•834 21 


32 


29 


•537 05 


•636 66 


1.570 7 


-843 55 


31 




29 


■551 69 


•661 47 


1.511 8 


•834 05 


i 1 


30 


•537 30 


•637 07 


1.569 7 


-843 39 


30 




30 


■551 94 


•661 89 


1-5108 


•833 89 


30 


31 


•537 54 


•637 48 


1.568 7 


■843 24 


29 




31 


•552 18 


•662 30 


1.509 9 


■833 73 


29 


32 


■537 79 


•637 89 


1.567 7 


■843 08 


28 




32 


•552 42 


•662 72 


1-508 9 


■833 56 


28 


33 


•538 04 


■638 30 


1566 7 


■842 92 


27 




33 


•552 66 


•663 14 


1-508 


•833 40 


27 


34 


•538 28 


■638 71 


1565 7 


•842 77 


26 




34 


•552 91 


•663 56 


1.507 


•833 24 


26 


35 


•538 53 


■639 12 


1.564 7 


■842 61 


25 




35 


•553 15 


•663 98 


1-5061 


•833 08 


25 


36 


•538 77 


■639 53 


1.563 7 


•842 45 


24 




36 


•553 39 


•664 40 


1-5051 


■832 92 


24 


37 


•539 02 


■639 94 


1.562 7 


•842 30 


23 




37 


•553 63 


•664 82 


1.504 2 


■832 76 


23 


38 


•539 26 


•640 35 


1.561 7 


•842 14 


22 




38 


•553 88 


•665 24 


1-503 2 


■832 60 


22 


39 


•539 51 


•040 76 


1-560 7 


•841 98 


21 




39 


•554 12 


■665 66 


1-502 3 


•832 44 


2 1 


40 


■539 75 


•641 17 


1-559 7 


■841 82 


20 




40 


•554 36 


■666 08 


1-5013 


•832 28 


20 


41 


■540 00 


■641 58 


1.558 7 


■841 67 


19 




+1 


•5.H 60 


■666 SO 


1500 4 


•832 12 


19 


42 


■540 24 


■641 99 


r557 7 


■841 51 


18 




42 


•554 84 


■666 92 


1.499 4 


•831 95 


18 


43 


•54049 


■642 40 


1.556 7 


■841 35 


17 




+3 


■555 09 


■667 34 


1.498 5 


•831 79 


17 


44 


■540 73 


■642 81 


1-555 7 


•841 20 


16 




44 


•555 33 


■667 76 


1.497 5 


•831 63 


16 


45 


■540 97 


•643 22 


1.554 7 


•841 04 


15 




15 


•555 57 


■668 18 


1.496 6 


•831 47 


L5 


46 


•541 22 


•643 63 


1.553 7 


•840 88 


14 




46 


•555 81 


■668 60 


1.495 7 


•831 31 


14 


47 


■541 46 


■644 04 


1.552 7 


•840 72 


13 




47 


•556 05 


■669 02 


1.494 7 


•831 15 


13 


48 


•541 71 


■644 46 


1.551 7 


■840 57 


12 




48 


•556 30 


•669 44 


1.493 8 


•830 98 


12 


49 


•541 95 


■644 87 


1.550 7 


•840 41 


11 




49 


•556 54 


■669 86 


1.492 8 


•830 82 


1 1 


50 


•542 20 


■645 28 


1.549 7 


•840 25 


10 




50 


■556 78 


■670 28 


1.491 9 


•830 66 


LO 


51 


•542 44 


■645 69 


1.548 7 


•840 09 


9 




51 


■557 02 


•670 71 


1-491 


•830 50 


- 9 


52 


•542 69 


•646 10 


1^.'547 7 


•839 94 


8 




52 


,557 26 


.■671 13 


1-490 


•830 34 


8 


53 


•542 93 


•646 52 


1.546 8 


■839 78 


7 




53 


■557 50 


■671 55 


1-4891 


■830 17 


7 


54 


•543 17 


•646 93 


1.545 8 


■839 62 


6 




54 


•557 75 


■67197 


1-488 2 


■83001 


6 


55 


•543 42 


•647 34 


1.544 8 


■839 46 


5 




55 


•557 99 


■672 39 


1-487 2 


■829 85 


5 


56 


•S43 66 


•647 75 


1.543 8 


■839 30 


4 




56 


•558 23 


■672 82 


1.486 3 


■829 69 


4 


57 


•543 91 


■648 17 


1^542 8 


•839 15 


3 




57 


•558 47 


■673 24 


1485 


■829 53 


3 


58 


•54415 


•648 58 


1541 8 


•838 99 


2 




58 


•558 71 


■673 66 


1^484 4 


■829 36 


2 


59 


■544 40 


■648 99 


1:540 8 


•838 83 


1 




59 


•558 95 


■674 09 


1.483 5 


■829 20 


1 


60 


•544 64 


■649 41 


1,539 9 


•838 67 







60 


•559 19 


■674 51 


1.482 6 


•829 04 





1 


COS. 


Cot. 


Tan. 


Sin. 




Cos. 


Cot. 


Tan. 


Sin. 


122" 


^302°) 






(237 


") 


57" : 


L23 


303°) 






(236°) 56° 



107 



\C<miil^'uei) 



SP : 8 - 1970 



34" (214°) 



TABLE 7A NATURAL FUNCTIONS 

(325°) 145° 35" (215") 



- Coitid 



(324") 144* 



r 


Sin. 


Tan. 


Cot. 


Cos. 


' 


- - 








.fl'>0 fVl 


— 








O/y^rf- 





•55919 


•674 51 


1-482 6 


-828 87 


60 


1 




•674 93 


1.481 6 




59 


2 


•559'5S943(i8 


•675 36 


1-4807 


-828 71 


58 


3 


■559 92 


•675 78 


1479 8 


-828 55 


57 


4 


•560 16 


•676 20 


1^478 8 


-828 39 


56 


5 


■56040 


676 63 


1-477 9 


-828 22 


55 


4 


•W5M8SH 


•677 OS 


1^477 


-828 06 


54 






•677 48 


1.476 1 


-827 90 


53 


8 




•677 90 


14751 


-827 73 


52 


9 


■%m \U 


•678 32 


VMM 


•827 57 


51 


10 


•561 60 


■678 75 


1.473 3 


•827 41 


50 


11 




■679 17 


1472 4 


•827 24 


49 


12 


■562'S61 m 


■679 60 


1471 s 


•827 08 


48 


13 




■680 02 


1.470 5 


■826 92 


47 


14 


•!«'S62J!Ji 


■680 45 


1-469 6 


•826 75 


46 


15 


•562 80 


■680 88 


1-468 7 


.826 59 


45 


16 


•563 OS 


■681 30 


1.467 8 


■826 43 


44 


18 


•563 29 


•681 73 


1,466 9 


•826 26 


43 


19 


■SS3'563 77 S3 


•682 IS 


1-465 9 


•826 10 


42 






•682 58 


1-465 


■825 93 


41 






•68301 


14641 


■825 77 


40 


2: 


■5M'5«IIS 


•683 43 


1.463 2 


■825 61 


39 


22 




•683 86 


1462 3 


■825 44 


38 


23 


■5M'5M«I3 


•684 29 


14614 


■825 28 


37 


24 
25 
26 


•564 97 


■684 71 


1,460 s 


■825 11 


36 


■sraiiia 


■685 14 


1-4596 


•824 95 


35 


27 




■685 57 


1-.458 6 


•824 78 


34 


28 


-%mm 


■686 00 


1-4577 


-824 62 


33 






■686 42 


1-456 8 


•824 46 


5 2 


29 


•566 17 


■686 85 


1-455 9 


•824 29 


31 


30 


•566 41 


■687 28 


1-455 


•824 13 


30 


31 




■687 71 


1-4541 


•823 96 


29 


33 


•5ss« m 


•688 14 


1-453 2 


•823 80 


28 


34 


■5«'56? 1 1! 


•688 57 


14523 


•823 63 


27 






•689 00 


1-4514 


•823 47 


26 


J5 




•689 42 


1-450S 


•823 30 


25 


36 


«««S( 


•689 85 


1449 6 


•823 14 


24 


37 




•69028 


1-448 7 


•822 97 


2 3 


38 


■M ■5681)832 


-690 71 


1-447 8 


•822 81 


22 


39 


•568 56 


•691 14 


1446 9 


•822 64 


21 


10 




•691 57 


1-446 


•822 48 


2 


42 


■S68'S69.MM 


•692 00 


1-445 1 


•822 31 


19 


« 


■mm Ml 


•692 43 


1-444 2 


•822 14 


18 






•692 86 


1443 3 


■821 98 


17 


H 


•569 76 


•693 29 


1-442 4 


■821 81 


16 


^ 


•570 00 


•693 72 


1-4415 


•821 65 


15 


47 


•S70'5?0 4724 


•694 16 


1-440 6 


•821 48 


14 


*8 




•694 59 


1-439 7 


•821 32 


13 


49 


•570 71 


•695 02 


1-438 8 


•821 IS 


12 


50 

51 


•570 9s 


•695 45 


1-437 9 


•820 98 


11 


•571 19 


•695 88 


1.437 


•820 82 


10 




•571 43 


•696 31 


t-4361 




9 


52 




•696 75 


1-435 2 


•820 «8 


8 


53 


■571'S71 CM 


•697 18 


1,434 4 


•820 32 


7 


54 
55 
56 


•572 15 


•69761 


1.433 5 


•82015 


6 


•S72'572(i23« 


•698 04 


1-4326 


•819 99 


5 






•698 47 


1-4317 


■819 82 


4 


57 


•572 86 


•69891 


1,430 8 


■819 65 


3 


58 


•573 10 


•699 34 


1-4299 


■819 49 


2 


59 


•573 34 


•699 77 


1.429 


•819 32 


1 


60 

f 


•573 58 


•700 21 


1-4281 


•81915 





Cos. 


Cot. 


Tan 


Sin. 



1 


Sill. 


Tan. 


Cot. 


C05. 


r 


•573 58 


•700 21 


1-4281 


-819 IS 


60 


2 


•574-J71 0381 


•700 64 


1-427 3 


-818 99 


i 9 






-701 07 


1-426 4 


-818 82 


58 


3 




•701 51 


1-425 5 


-818 65 


57 


4 


■iim 29 S3 


•701 94 


1-4246 


•818 48 


56 


5 


•574 77 


•702 38 


1-423 7 


•818 32 


55 


7 


•575 01 


•702 81 


1-422 9 


•818 IS 


54 


8 


■S]5'57S«24 


•703 2s 


1-422 


•817 98 


5 3 






•703 68 


1-4211 


•817 82 


52 


9 


•575 72 


•70412 


1.420 2 


•817 65 


51 


10 


•575 96 


•704 55 


1-419 3 


•817 48 


50 


11 


•576 19 


•704 99 


1-418 5 


•817 31 


49 


12 


•576 43 


•705 42 


1-417 6 


•81714 


48 


13 


•576 67 


•705 86 


1-416 7 


•816 98 


47 


14 


•576 91 


•706 29 


1-415 8 


•816 81 


t 6 


15 


•577 IS 


•706 73 


1-415 


•816 64 


1 5 


16 


•577 38 


•707 17 


1.414 1 


•816 47 


t 4 


17 


•577 62 


•707 60 


1-413 2 


•816 31 


43 


18 


•577 86 


•708 04 


1-412 4 


-816 14 


42 


19 


•578 10 


•708 48 


1-411 5 


-815 97 


41 


20 




•708 91 


1-4106 


-815 80 


40 


22 


■S7«'S7«33JI 


■709 35 


1-409 7 


•815 63 


39 


23 


■578-S79 M81 


■709 79 


1-408 9 


•815 46 


5 8 






■71023 


1-408 


•815 30 


37 


24 
25 
26 


•579 28 


•710 66 


1-4071 


•815 13 


36 


•579'579 76S2 


■71 no 


1-4063 


•814 96 


5 5 






■711 54 


1-405 4 


•814 79 


34 


27 




■711 98 


1-404 5 


•814 62 


3 3 


28 


■S79-j80»B 


■712 42 


1403 7 


•814 45 


3 2 


29 


•580 47 


■712 85 


1402 8 


•814 28 


S 1 


30 


•580 70 


■713 29 


1-4019 


-814 12 


30 


31 




■713 73 


i-401 1 


-813 95 


29 


J2 


flfill Mil 


■71417 


1.4002 


-813 78 


28 


33 




■714 61 


1.399 4 




27 


34 


•581 65 


■715 05 


1.398 5 


•813 44 


26 


{5 


•581 89 


•715 49 


1-397 6 


-813 27 


25 


36 


•58212 


•71S93 


1-396 8 


-813 10 


24 


37 




•716 37 


1-395 9 


-812 93 


2 3 


38 


■582'S82 34 SI 


•716 81 


1-3951 


-812 76 


22 


39 


•582 83 


•717 2s 


1-3942 


-812 59 


! 1 


10 


•583 07 


•717 69 


1-393 4 


-812 42 


2 


H 


•583 30 


•71813 


1-392 5 


-812 25 


19 


n 


•583 54 


•718 57 


1-3916 


-812 08 


18 


n 


•583 78 


•719 01 


1.390 8 


-811 91 


1 7 


M 


•584 01 


■719 46 


1-3899 


-811 74 


16 


15 


•584 2s 


■719 90 


1.389 1 


-811 57 


15 






•720 34 


1-388 2 


-811 40 


14 


\t 




•720 78 


1-387 4 


-811 23 


13 


V7 


m% m 


■721 22 


1.386 5 


■81106 


1 2 


19 


•585 19 


■721 67 


1-385 7 


■810 89 


1 1 


50 




■722 11 


1-3848 


■810 72 


1 


M 


■%'% 4367 


■722 55 


1-384 


■810 55 


9 


■585 90 


■722 99 


1-3831 


■810 38 


8 


53 


•586 14 


•723 44 


1-3823 


■810 21 


7 


54 


•586 37 


•723 88 


1.381 4 


■810 04 


6 


55 


•586 61 


•724 32 


13806 


■809 87 


5 


56 


•586 84 


•724 77 


1.379 8 


■809 70 


4 


57 


•587 08 


•725 21 


1-378 9 


■809 53 


3 


58 


•587 31 


•725 65 


1.378 1 


■809 36 


2 


59 


•587 5s 


■726 10 


1.377 2 


•809 19 


1 


60 


•587 79 


■726 54 


1.376 4 


•809 02 





Cos. 


Cot. 


Tan. 


Sin. 


/ 



124° (304°) 



(235°) S5° 125° (305°) 



108 



(234°) 54' 
i,Continued\ 



SP : 8 - 1970 









TABLE 7A NATURAL 


FUNCTIONS 


-— (.\mld 








36° (216 ) 






(323° 


143° 


37^ 


217") 






(322'') 142° 





Sin. 
■587 79 


Tan. 


Cot. 


Cos. 


r 

60 







Sin. 
•601 82 


Tan. 


1 

Cot. 

1.327 


Cos. 
-798 64 


60 


•726 54 


1.376 4 


•809 02 


■753 55 


1 


•588 02 


•726 99 


1-375 5 


■808 85 


59 




1 


•602 05 


■754 01 


1.326 2 


•798 46 


59 


2 


•588 26 


•727 43 


1.374 7 


-808 67 


58 




2 


•602 28 


•754 47 


1.325 4 


■798 29 


58 


3 


■588 49 


•727 88 


1.373 9 


•808 50 


57 




3 


•60251 


•754 92 


1.324 6 


•79811 


57 


4 


•588 73 


•728 32 


1.373 


•808 33 


56 




4 


-602 74 


•755 38 


1-32J8 


•797 93 


56 


5 


•588 96 


•728 77 


1-372 2 


•808 16 


55 




5 


•602 98 


•755 84 


1.323 


•797 76 


55 


6 


•589 20 


•729 21 


1.371 3 


•807 99 


54 




6 


•603 21 


•756 29 


1.322 2 


•797 58 


54 


7 


■589 43 


•729 66 


1.370 5 


•807 82 


53 




7 


•603 44 


•756 75 


1.321 4 


•797 41 


53 


8 


•589 67 


•730 10 


1369 7 


•807 65 


52 




8 


•603 67 


•75721 


r320 6 


•797 23 


52 


9 


•589 90 


•730 55 


1.368 8 


•807 48 


51 




9 


•603 90 


■757 67 


1.319 8 


•797 06 


51 


10 


•590 14 


•731 00 


1.368 


•807 30 


50 




10 


•60414 


■768 12 


1.319 


•796 88 


50 


11 


•590 37 


•731 44 


1.367 2 


•807 13 


49 




11 


•604 37 


■758 58 


1.318 2 


•796 71 


49 


12 


•590 61 


•731 89 


1.366 3 


•806 96 


48 




12 


•604 60 


■759 04 


1.317 5 


•796 53 


48 


13 


■590 84 


•732 34 


1.365 5 


•806 79 


47 




13 


•604 83 


•7.S9 50 


1.316 7 


•796 35 


47 


14 


■591 08 


•732 78 


r364 7 


•806 62 


46 




14 


•605 06 


•759 96 


13159 


•796 18 


46 


15 


■59131 


■733 23 


1.363 8 


•806 44 


45 




15 


-605 29 


•760 42 


l-31il.31i31 


•796 00 


45 


16 


■591 54 


■733 68 


1-363 


•806 27 


44 




16 


-605 53 


•760 88 




•795 83 


44 


17 


•591 78 


•734 13 


1.362 2 


•806 10 


43 




17 


-605 76 


•761 34 


1213 5 


•795 65 


43 


18 


•592 01 


•734 57 


1.361 3 


•805 93 


42 




18 


-605 99 


■761 so 


1-3127 


-795 47 


42 


19 


■592 25 


■735 02 


1 360 5 


•805 76 


41 




19 


•606 22 


■762 26 


1.311 9 


•795 30 


41 


20 


■592 48 


■735 47 


1.359 7 


•805 58 


40 




20 


•606 45 


•762 72 


1.311 1 


•975 12 


40 


21 


•592 72 


■735 92 


1.358 8 


•S05 41 


39 




21 


■606 6X 


■763 18 


1-310 3 


•794 94 


39 


22 


•592 95 


•736 37 


1^358 


•805 24 


38 




22 


■60691 


■763 64 


1-309 5 


•79477 


38 


23 


•593 18 


•736 81 


1.357 2 


•805 07 


37 




23 


•607 14 


■764 10 


1 -308 7 


•794 59 


37 


24 


■593 42 


•737 26 


1-3564 


•804 89 


36 




24 


•607 38 


■764 56 


1307 9 


•794 41 


36 


25 


•593 65 


■737 71 


1-355 5 


•804 72 


3.5 




25 


■607 61 


•765 02 


1.307 2 


•794 24 


35 


26 


•593 89 


•738 16 


1.354 7 


•804 55 


34 




26 


■607 84 


•765 48 


1.306 4 


•794 06 


34 


27 


■59-f 12 


•738 61 


1-353 9 


•804 38 


33 




27 


•608 07 


■765 94 


1305 6 


•793 88 


33 


28 


■594 36 


•739 06 


1-353 1 


•804 20 


32 




28 


•608 30 


■766 40 


1304 8 


•793 71 


32 


29 


■594 59 


•739 51 


1-352 2 


-804 03 


31 




29 


•608 53 


■766 86 


1304 


•793 53 


31 


30 


■594 82 


■739 96 


1.351 4 


•803 86 


SO 




30 


•608 76 


■767 33 


1303 2 


•79335 


30 


31 


■595 06 


■740 41 


1-350 6 


•803 68 


29 




31 


•608 99 


■767 79 


1302 4 


•793 18 


29 


32 


■595 29 


■740 86 


1.349 8 


•803 51 


28 




32 


•609 22 


■768 25 


1-3017 


•793 00 


28 


33 


■595 52 


•74131 


1.349 


•803 34 


27 




33 


•609 45 


■768 71 


1-300 9 


•792 82 


27 


34 


■595 76 


•741 76 


1-3481 


•803 16 


26 




34 


•609 68 


■769 18 


1-3001 


•792 64 


26 


35 


•595 99 


•742 21 


1-347 3 


•802 99 


25 




35 


•609 91 


■769 64 


1.299 3 


•792 47 


25 


36 


•596 22 


•742 67 


1-346 5 


•802 82 


24 




36 


•61015 


■770 10 


1.298 5 


•792 29 


24 


37 


•596 46 


•743 12 


1-345 7 


•802 64 


23 




37 


■610 38 


■770 57 


1-297 7 


■79211 


23 


38 


■596 69 


■743 57 


1 -344 9 


•802 47 


22 




38 


-61061 


■77103 


1.297 


■79193 


22 


39 


■596 93 


■744 02 


1-344 


•802 30 


21 




39 


-610 84 


■77149 


1-296 2 


■791 76 


21 


40 


■597 16 


■744 47 


1.343 2 


•802 12 


20 




40 


■61107 


■771 96 


1-295 4 


•791 58 


20 


41 


■597 39 


■744 92 


1.342 4 


•801 95 


19 




41 


■61130 


■772 42 


1-294 6 


•791 40 


19 


42 


•597 63 


■745 38 


1.341 6 


•801 78 


18 




42 


-61153 


•772 89 


1.293 8 


•791 22 


18 


43 


•597X6 


•745 83 


1-340 8 


•801 60 


17 




43 


■61176 


•77335 


1-2931 


•791 05 


17 


44 


•598 09 


•746 28 


1-.340 


•801 43 


16 




44 


•611 99 


•773 82 


1.292 3 


•790 87 


16 


45 


•598 32 


-746 74 


1-3392 


•801 25 


15 




45 


•612 22 


•774 28 


1.291 5 


•790 69 


15 


46 


•598 56 


•747 19 


1.338 4 


•801 08 


14 




46 


•612 45 


•774 7.5 


1.290 7 


•790 5 1 


14 


47 


•598 79 


•747 64 


1.337 5 


•800 91 


13 




47 


•612 68 


•775 21 


1.290 


•790 33 


13 


48 


•599 02 


•748 10 


1.336 7 


•800 73 


12 




48 


•612 91 


•775 68 


1.289 2 


•790 16 


12 


49 


■599 26 


•748 55 


1.335 9 


•800 56 


11 




49 


•613 14 


•776 15 


1.288 4 


•789 98 


11 


50 


■599 49 


•749 00 


1.335 1 


•800 38 


10 




50 


•613 37 


•776 61 


1.287 


•789 80 


10 


51 


■599 72 


•749 46 


1.334 3 


•8002 1 


9 




51 


•613 60 


•777 08 


1-286 9 


•789 62 


9 


52 


■599 95 


•749 91 


1.333 5 


•800 03 


8 




52 


•613 83 


•777 54 


1-2861 


■789 44 


8 


53 


•60019 


•750 37 


1.332 7 


■799 86 


7 




53 


•774 06 


•778 01 


1-285 3 


•789 26 


7 


54 


•600 42 


•750 82 


1.331 9 


■799 68 


6 




54 


•614 29 


•778 48 


1.284 6 


•789 08 


6 


55 


•600 65 


•751 28 


1.331 1 


-799 5 1 


5 




55 


•614 51 


•778 95 


1.283 8 


•788 91 


5 


56 


•600 89 


•751 73 


1330 3 


•799 34 


4 




56 


•614 74 


•779 41 


1.283 


•788 73 


4 


57 


•601 12 


•752 19 


1329 5 


•799 16 


3 




57 


•614 97 


■779 98 


1 -282 2 


•788 5.5 


3 


58 


•601 35 


•752 64 


1.328 7 


•798 99 


2 




58 


•615 20 


•780 35 


1.281 5 


■788 37 


2 


59 


■601 58 


■753 10 


1.327 8 


•798 81 


1 




59 


■615 43 


•780 82 


1-280 7 


■788 19 


1 


60 


•601 82 


•753 55 


1.327 


•798 64 







60 

r 


■615 66 


•781 29 


1.279 9 


■788 01 





COS. 


Cot. 


Tan. 


Sin. 


Cos, 


Cot. 


Tan. 


Sin. 




126° 


(3106 ) 






(233 


"53 




■XT 


(307°) 




(232° 


1 52° 



109 



{poMinvni) 



5P : 8 - 1970 



«■> (218°) 



TABLE 7A NATURAL FUNCTIONS —Contd 
(321°) 141 39° (219 ) 



(320 ) 140° 



f 


Sin. 


Tan. 


Cot. 


COS, 


f 

60 





•615 66 


•781 29 


1.279 9 


-788 01 


1 


•615 89 


•781 75 


1.279 2 


-787 83 


59 


2 


•61612 


•782 22 


1-278 4 


-787 65 


58 


3 


•616 35 


•782 69 


1.277 6 


•787 47 


57 


4 


•616 58 


•783 16 


1.276 9 


•787 29 


56 


5 


•616 81 


•783 63 


1-2761 


■787 11 


55 


6 


•617 04 


•784 10 


b275 3 


■786 94 


54 


7 


•617 26 


•784 57 


1^274 6 


•786 76 


53 


8 


•617 49 


•785 04 


1^273 8 


•786 58 


52 


9 


•617 72 


•785 51 


1273 1 


•786 40 


51 


10 


•6179.5 


•785 9s 


•272 3 


■786 22 


50 


11 


•61818 


•786 45 


•2715 


•786 04 


49 


12 


•618 41 


-786 92 


•270 8 


•785 86 


48 


13 


•618 64 


•787 39 


1270 


•785 68 


47 


1 + 


•618 87 


•787 86 


1269 3 


•785 SO 


46 


15 


•619 09 


•788 34 


1.268 5 


•785 32 


45 


16 


•619 32 


•788 81 


1.267 7 


•78514 


44 


17 


•619 55 


•789 28 


1^267 


•784 96 


43 


18 


•619 78 


•789 75 


1-266 2 


•784 78 


42 


19 


•620 01 


•790 22 


1.265 5 


•784 60 


41 


20 


•620 24 


•790 70 


1264 7 


•784 42 


40 


21 


•620 46 


•791 17 


1^264 


•784 24 


39 


22 


•620 69 


•791 64 


1263 2 


•784 05 


38 


23 


•620 92 


•792 12 


1262 4 


•783 87 


37 


24 


•621 15 


•792 59 


1261 7 


•783 69 


36 


25 


•621 38 


•793 06 


1-260 9 


•783 51 


35 


26 


•62160 


•793 54 


1-260 2 


•783 33 


34 


27 


•621 83 


•794 01 


1^259 4 


•783 15 


33 


28 


•622 06 


•794 49 


1^258 7 


•782 97 


32 


29 


•622 29 


•794 96 


1^257 9 


•782 79 


31 


30 


•622 51 


,795 44 


1.257 2 


•782 61 


30 


31 


•622 74 


•795 91 


1^256 4 


•782 43 


29 


32 


•622 97 


•796 39 


1^255 7 


•782 25 


28 


33 


•623 20 


•796 86 


1.254 9 


•782 06 


27 


34 


•623 42 


•797 34 


1.254 2 


•781 88 


26 


35 


•623 65 


•797 81 


1.253 4 


•781 70 


25 


36 


•623 88 


•798 29 


1.252 7 


•781 52 


24 


37 


•624 11 


■798 77 


1^2519 


•781 34 


23 


38 


•624 33 


•799 24 


1^2512 


•781 16 


22 


39 


•624 56 


•799 72 


1.250 4 


■780 98 


21 


40 


•624 79 


•800 20 


1.249 7 


■780 79 


20 


41 


•625 02 


■800 67 


1.248 9 


■780 61 


19 


42 


•625 24 


■801 15 


1.248 2 


•780 43 


18 


43 


•625 47 


•801 63 


1^247 5 


•780 25 


17 


44 


•625 70 


•802 11 


1 ^246 7 


•780 07 


16 


45 


•625 92 


•802 58 


1^246 


•779 88 


15 


46 


•626 15 


•803 06 


1245 2 


•779 70 


14 


47 


•626 38 


•803 54 


1.244 5 


•779 52 


13 


48 


•626 60 


•804 02 


1.243 7 


•779 34 


12 


49 


•626 83 


•804 50 


1.243 


•779 16 


11 


50 


•627 06 


•804 98 


1^242 3 


•778 97 


10 


51 


•627 28 


•805 46 


1.241 5 


•778 79 


9 


52 


■627 51 


•805 94 


1.240 8 


•778 61 


-8 


53 


•627 74 


•806 42 


1.240 1 


•778 43 


7 


54 


•627 96 


•806 90 


1.239 3 


•778 24 


6 


55 


•628 19 


•807 38 


1^238 6 


•778 06 


5 


56 


•628 42 


•807 86 


1^237 8 


•777 88 


4 


57 


•628 64 


•808 34 


1.237 1 


•777 69 


3 


58 


•628 87 


•808 82 


1^236 4 


•777 51 


2 


59 


•629 09 


•809 30 


1^235 6 


•777 33 


1 


60 


•629 32 

C0% 


•809 78 
cot. 


1.234 9 


•777 1.5 




f 


Tan. 


Sin. 






Sin. 


Tan. 


Cot. 


Cos. 




.629 32 


•809 78 


1^234 9 


•777 15 


60 


1 


•629 55 


•810 27 


1^234 2 


•776 96 


59 


2 


■629 77 


•810 75 


1^233 4 


•72678 
•77l^ 


58 


3 


•630 00 


•81123 


1.232 7 


-SI 


4 


•630 22 


•81171 


1.232 


•776 41 


56 


5 


•630 45 


•812 20 


1^2312 


•776 23 


55 


6 


•630 68 


•-81 2 68 


1-230 5 


•776 05 


54 


7 


•630 90 


•813 16 


12298 


•775 86 


S3 


8 


•631 33 


•81^64 


1-229 


•775 68 


52 


9 


•631 3.5 


•814 13 


1.228 3 


•775 50 


51 


10 


•631 58 


•814 61 


1.227 6 


•775 31 


SO 


11 


•631 80 


•815 10 


1.226 8 


•775 13 


49 


12 


•632 03 


•815 58 


1^2261 


•774 94 


48 


13 


•632 25 


•816 06 


r225 4 


•774 76 


47 


14 


•632 48 


•816 55 


1224 7 


•774 58 


46 


15 


■632 71 


•817 03 


1.223 9 


•774 39 


45 


16 


■632 93 


•817 52 


1.223 2 


•77421 


44 


17 


■633 16 


•818 00 


1.222 5 


•774 02 


43 


18 


■633 38 


•818 49 


1^2218 


•773 84 


42 


19 


•633 61 


•818 98 


1.221 


•773 66 


41 


20 


•633 83 


•819 46 


1220 3 


•773 47 


40 


21 


•634 06 


•819 95 


1.219 6 


•773 29 


39 


22 


•634 28 


•820 44 


V218 9 


•773 10 


3E 


23 


.•634 51 


•820 92 


1^2181 


•772 92 


37 


24 


•634 73 


•821 41 


1.217 4 


•772 73 


36 


25 


•634 96 


•821 90 


1^216 7 


•772 55 


35 


26 


•635 18 


•822 38 


1.216 


•772 36 


34 


27 


•635 40 


•822 87 


1^215 3 


•772 18 


33 


28 


•635 63 


•823 36 


1.214 5 


■771 99 


32 


29 


•635 85 


•823 85 


1.213 8 


■77181 


31 


30 


•636 08 


•824 34 


vm\ 


•771 62 


30 


31 


•636 30 


■824 83 


X-lUA 


•771 44 


29 


32 


•636 53 


■825 31 


1.211 7 


•771 25 


28 


33 


■636 75 


■825 80 


1.210 9 


•771 07 


27 


34 


1 ^636 98 


•826 29 


1.210 2 


•770 88 


26 


35 


•637 20 


•826 78 


1.209 5 


•770 70 


25 


36 


•637 42 


•827 27 


1.208 8 


•770 51 


24 


37 


\ 637 65 


•827 76 


1.208 1 


•770 33 


23 


38 


•637 87 


•828 25 


1.207 4 


•770 14 


22 


39 


•638 10 


•828 74 


1206 6 


•769 96 


21 


40 


•638 32 


■829 23 


1-205 9 


•769 77 


20 


41 


•638 54 


■829 72 


1.205 2 


•769 59 


19 


42 


•€38 77 


■830 22 


1204 5 


•769 40 


18 


43 


•638 99 


■830 71 


1-203 8 


•769 21 


17 


44 


•63922 


■831 20 


1-203 1 


•769 03 


16 


45 


•639 44 


■831 69 


1.202 4 


•768 84 


IS 


46 


•639 66 


■832 18 


1.201 7 


•768 66 


14 


47 


•639 89 


■832 68 


1-200 9 


•768 47 


13 


48 


•640 11 


■833 17 


1.200 2 


•768 28 


12 


49 


•640 33 


•833 66 


1.199 5 


•768 10 


11 


50 


•640 56 


•83415 


M98 8 


•767 91 


10 


51 


•640 78 


•834 65 


1198 1 


•767 72 


9 


52 


•641 00 


•835 14 


1197 4 


•767 54 


8 


53 


•641 23 


•835 64 


1.196 7 


•767 35 


7 


54 


'641 45 


•836 13 


11960 


■767 17 


6 


55 


•641 67 


•836 62 


M953 


■766 98 


5 


56 


•641 90 


•837 12 


M94 6 


■766 79 


4 


57 


•642 12 


•837 61 


1.193 9 


■766 61 


3 


58 


•642 34 


•838 11 


M93 2 


■766 42 


2 


59 


•642 56 


•838 60 


1.192 5 


■766 23 


1 


60 


•642 79 


•839 10 


1.191 8 


■766 04 





Cos. 


Cot. 


Tan. 


Sin. 


r 



128° (308°) 



(231°) 51° 129° (309°) 



110 



(230°) 50° 
(Continued) 



SP : 8 - 1970 



40° (220") 



TABLE 7A NATURAL FUNCTIONS 
(319°) 139" 41° (221 ) 



- Confd 



(318°) 138* 



Sin. 





1 
2 
3 

4 

5 
6 

7 
8 
9 

10 

11 
12 
13 
14 

15 

16 
17 
18 
19 

20 

21 
22 
23 
24 

25 
26 
27 
28 
29 

30 

31 
32 
33 
34 

35 
36 

37 

38 
39 

40 

41 
42 
43 
44 

45 

46 
47 
48 
49 

50 

51 
52 
53 
54 

55 

56 
57 
58 
59 

&0 



•642 79 
•643 01 
•643 23 
•643 46 
•643 68 

•643 90 
•644 12 
•644 3 5 
•644 57 
•644 79 

•645 01 
•645 24 
•645 46 
•645 68 
•645 90 

•64612 
•646 35 
•646 57 
•646 79 
•647 01 

•647 23 
•647 46 
•647 68 
•647 90 
•648 12 

•648 34 
•648 56 
•648 78 
•649-01 
•649 23 

•649 45 
•649 67 
•649 89 
•65011 
•650 33 

•650 55 
•650 77 
•651 00 
•651 22 
■65144 

•65166 
•651 88 
•65210 
•652 32 
•652 54 

•652 76 
•652 98 
•653 20 
•653 42 
•653 64 

■653 86 
-65408 

•654 30 
•654 52 
■654 74 

•654 96 
•655 18 
•655 40 
•655 62 
•655 84 

•656 06 



Cos. 



Tan. 



•839 10 
•839 60 
•840 09 
•840.59 
•841 08 

•84158 
•842 08 
•842 58 
•843 07 
•843 57 

•844 07 
•844 57 
•845 07 
•845 56 
•846 06 

•846 56 
•847 06 
•847 56 
•M8 06 
•848 56 

•849 06 
•849 56 
•850 06 
•850 57 
■851 07 

■851 57 
•852 07 
•852 57 
•853 08 
•853 58 

•854 08 
•854 58 
•855 09 
■855 59 
•856 09 

•856 60 
•857 10 
•857 61 
•85811 
•858 62 

•859 12 
•859 63 
•860 14 
•860 64 
•861 15 

•861 66 
■86216 
•862 67 
•863 18 
•863 68 

•864 19 
■864 70 
•865 21 
•865 72 
■866 23 

•866 74 
■867 25 
•867 76 
•868 27 
•868 78 

•869 29 



Cot. 



Cot. 



1.191 8 
1.191 
1190 3 

1.189 6 
1.188 9 

1188 2 
M87 5 

1.186 8 

.1861 

M85 4 

1-184 7 

1.184 
1.183 3 
1.182 6 
1.181 9 

1.1812 
11806 
1179 9 

1.179 2 
1.178 5 

M77 8 
1.177 1 
1176 4 
M75 7 

1.175 

1.174 3 
1.173 6 
11719 
1172 2 

1.1715 

1170 a 
M70 2 
1169 5 

1.168 8 
M681 

1.167 4 
1.166 7 
1166 
M65 3 
M647 

M64 
1.163 3 
M62 6 
1161 9 
1161 2 

1160 6 

1.159 9 
M59 2 

1.158 5 
1.157 a 

1.157 1 
1.156 5 
M55 8 
M55 1 

1.154 4 

1153 8 
1153 1 
M52 4 

1.151 7 
M510 

1.150 4 



Tan. 



Cos. 



•766 04 

•765 86 

•765 67 

•765 48 

•765 30 

•765 11 
-764 92 
-764 73 
•764 55 
•764 36 

-764 17 
•763 98 
•763 80 
•763 61 
•763 42 



60 

59 

58 
57 
56 

55 
54 
53 

h 2 

51 

50 

49 
48 
47 
46 



•763 23 


45 


•763 04 


44 


•762 86 


43 


•762 67 


42 


•762 48 


1 1 


•762 29 


40 


•762 10 


39 


761 92 


38 


76173 


37 


•761 54 


36 


•761 35 


35 


761 16 


34 


760 97 


! 3 


760 78 


32 


760 59 


31 


760 41 


30 


760 22 


29 


76003 


I 8 


759 84 


27 


759 65 


26 


759 46 


25 


759 27 


24 


759 08 


23 


758 a9 


22 


758 70 


21 


758 51 


20 


758 32 


19 


75813 


1 8 


757 94 


17 


757 75 


16 


757 56 


15 


757 38 


14 


75719 


13 


757 00 


12 


756 80 


11 


756 61 


10 


756 42 


9 


756 23 


8 


756 04 


7 


755 85 


6 


755 66 


5 


755 47 


4 


755 28 


3 


755 09 


2 


754 90 


1 



•754 71 



Sin. 



30° (310°) 



(229°) 49° 



f 




Sin. 


Tan. 


1 Cot. 


Cos. 


f 
60 


•656 06 


•869 29 


' 1-150 4 


•754 71 


1 




•869 80 


1.149 7 


-754 52 


59 


2 


■WW 88 SO 


•870 31 


1.149 


•754 33 


58 


3 




-870 82 


1148 3 


•764 14 


57 


4 
5 
6 


•6i(«!291 


•871 33 


1.147 7 


•753 95 


56 


■6S7'657I18 


•871 a4 


1.147 


•753 75 


55i 


7 




•872 36 


1.146 3 


•753 56 


54 


8 


■6S]'6S7 815S 


1 ^872 87 


1.145 6 


•753 37 


53 






' ^873 38 


1.145 


•753 18 


52 


9 


•658 03 


•973 89 


1144 3 


•752 99 


51 


10 


•658 25 


•874 41 


1.143 6 


•752 80 


50 


11 




•874 92 


1.143 


•752 61 


49 


12 


■«■(!! (5 fS 


•875 43 


1.142 3 


•752 41 


48 


13 


•658 91 


•875 95 


1.141 6 


•752 22 


47 


14 


■659 13 


•876 46 


1.1410 


•752 03 


46 


15 


■659 35 


•876 98 


1140 3 


•751 84 


45' 


16 




•877 49 


1.139 6 


•751 6.5 


44 


17 


■mm j6(« 


•878 01 


1^1389 


•751 46 


43 


18 




•878 52 


M383 


•751 26 


42 


19 


■mm%t 


•879 04 


1.137 6 


•751 07 


41 


20 


•660 44 


879 55 


M369 


■750 88 


40 


21 




•880 07 


1.136 3 


•750 69 


39 


22 


■mm 6688 


■880 59 


1.135 6 


•750 50 


38 


23 




•881 10 


1134 9 


•750 30 


37 


24 
25 

26 


■mi\ m 


•881 62 


M34 3 


•750 11 


36 


■661'661!553 


•882 14 


1.133 6 


•749 92 


35 






■882 65 


1.132 9 




34 


27 




•883 17 


1.132 3 


•749 53 


33 


28 


■«19]«218 


•883 69 


1.131 6 


•749 34 


32 


29 


•662 40 


■88421 


1.1310 


•749 15 


31 


Ui 


•662 62 


•884 73 


1.130 3 


•748 96 


39 


J2 


■»]'(i6H6 8i 


•885 24 


1.129 6 


•748 76 


29 


?3 




■885 76 


1129 


•748 57 


28 


H 


■663«ffl2i 


•886 28 


1128 3 


•748 38 


27 






•886 80 


1.127 6 


•748 18 


26 


15 


•663 71 


•887 32 


1.127 


•747 99 


25 


36 




•887 48 


1.126 3 


■747 80 


24 


57 


•M4663IU 


•888 36 


M25 7 


■747 60 


23 


!8 


•664 36 


•888 88 


1.125 


•747 41 


22 


!9 


■664 58 


•889 40 


1.124 3 


•747 22 


21 


(0 


•664 80 


•889 92 


1.123 7 


•747 03 


20 


n 


•665 01 


•890 45 


1.123 


•746 83 


19 


n 


•665 23 


•890 97 


1122 4 


■746 64 


18 


u 




•891 49 


1121 7 


•746 44 


1 7 


K 


■66i'MSfi88 


•892 01 


11211 


•746 25 


16 


15 


•665 88 


•892 53 


1.120 4 






^6 


•666 10 


•893 06 


11197 


•746 06 


BH 


^7 


•666 32 


•893 58 


M191 


•745 86 


13 


\% 


•666 53 


•894 10 


1-1184 


•745 «8 


12 


^9 


•666 75 


•894 63 


Ml7a 


•735 28 


11 


>o 


•666 97 


•895 15 


1.1171 


•745 09 


10 


>1 


•667 18 


•895 67 


11165 


•744 89 


9 


52 


•667 40 


•896 20 


11158 


•744 70 


8 


53 


•667 62 


.896 72 


M152 


•744 51 


7 


54 


•667 83 


•897 25 


1.114 5 


•744 31 


6 


55 


•668 05 


•897 77 


1113 9 


•74412 


5 


>6 


•868 27 


•898 30 


M13 2 


•743 92 


4 


57 


•668 48 


•898 a3 


1.112 6 


•743 73 


3 


58 


•668 70 


•899 35 


1.111 9 


•743 53 


2 


59 


•668 91 


•899 88 


1.1113 


•743 34 


1 


M 

1 


•669 13 


-900 40 


1.110 6 


•743 14 


r 


Cos. 


Cot. 


Tan. 


Sin. 



131° (311°) 



111 



(228°) 48° 
{Pontinuei) 



SP : 8 - 1970 



42" (222°) 



TABLE 7A NATURAL FUNCTIONS ~ Contd 
(317") 137' 42" (223') 



(316°) 136" 



f 


Sin. 


Tan. 


Cot. 


Cos. 


50 





•669 13 


•900 40 


1110 6 


•743 14 


1 


•669 35 


•900 93 


11100 


•742 95 


>9 


2 


•669 56 


•901 46 


1109 3 


•742 76 


58 


3 


•669 78 


•901 99 


1108 7 


•742 56 


57 


4 


•669 99 


•902 51 


M08 


•742 37 


56 


5 


■670 21 


•903 04 


1107 4 


•742 17 


55 


6 


•670 43 


•903 57 


1106 7 


•741 98 


54 


7 


•670 64 


•904 10 


1106 1 


■741 78 


53 


8 


•670 86 


•904 63 


1.105 4 


•741 59 


52 


9 


•671 07 


■905 16 


1104 8 


•741 39 


51 


10 


•671 29 


■905 69 


1104 1 


•741 20 


50 


11 


•671 51 


■906 21 


1103 5 


•741 00 


49 


12 


•671 72 


■906 74 


1102 8 


•740 80 


48 


13 


■671 94 


■907 27 


1102 2 


•740 61 


47 


14 


•672 15 


•907 81 


1101 6 


■740 41 


46 


15 


•672 37 


•908 34 


MOO 9 


■740 22 


45 


16 


•672 58 


•908 87 


1100 3 


•740 02 


44 


17 


•672 80 


•909 40 


1099 6 


•739 83 


43 


18 


•673 01 


■909 93 


1-099 


■739 63 


42 


19 


•673 23 


•910 46 


1098 3 


•739 44 


41 


20 


•673 44 


■910 99 


1097 7 


•739 24 


40 


21 


•673 66 


■91153 


10971 


■739 04 


39 


22 


•673 87 


■912 06 


1096 4 


■738 85 


38 


23 


•674 09 


•912 59 


1095 8 


•738 65 


37 


24 


•674 30 


■913 13 


10951 


•738 46 


36 


25 


•674 52 


•913 66 


1^094 5 


•738 26 


35 


26 


•674 73 


•914 19 


1093 9 


■738 06 


34 


25 


•674 95 


•914 73 


1093 2 


•737 87 


33 


2S 


•675 16 


•915 26 


1092 6 


■737 67 


32 


25 


•675 38 


•915 80 


10919 


■737 47 


31 


3( 


•675 59 


•916 33 


10913 


•737 28 


30 


31 


•675 80 


•916 87 


1^090 7 


•737 08 


29 


32 


•676 02 


•917 40 


1090 


•736 88 


28 


3: 


•676 23 


•917 94 


1089 4 


■736 69 


27 


34 


•676 45 


•91 8 47 


1088 8 


•736 49 


26 


3J 


•676 66 


•919 01 


1088 1 


■736 29 


25 


3f 


■676 88 


■919 55 


1.087 5 


•736 10 


24 


37 


•677 09 


■920 08 


1086 9 


■735 90 


23 


32 


•677 30 


•920 62 


1086 2 


■735 70 


22 


35 


•677 52 


•921 16 


1085 6 


■735 51 


21 


4( 


•677 73 


•921 70 


1085 


■735 31 


20 


41 


•677 95 


•922 24 


1084 3 


■735 11 


19 


42 


•678 16 


•922 77 


1983 7 


•734 91 


18 


42 


•678 37 


•923 31 


1083 1 


•734 72 


17 


44 


•678 59 


•923 85 


1082 4 


■734 52 


16 


4! 


•678 80 


•924 39 


10818 


■734 32 


15 


4< 


•679 01 


•924 93 


10812 


■73413 


U 


47 


•679 23 


■925 47 


1 080 5 


■733 93 


13 


4f 


•679 44 


•926 01 


1079 9 


•733 73 


12 


4S 


•679 65 


•926 55 


1079 3 


■733 53 


11 


5( 


■679 87 


•927 09 


1078 6 


■733 33 


10 


51 


•680 08 


•927 63 


1078 


■733 14 


9 


52 


•680 29 


•928 17 


1077 4 


■732 94 


8 


52 


■680 51 


■928 72 


1076 8 


■732 74 


7 


54 


■680 72 


•929 26 


10761 


■732 54 


6 


5! 


•680 93 


•929 80 


1075 5 


■732 34 


5 


se 


•68115 


■930 34 


1074 9 


•73215 


4 


57 


•681 36 


•930 88 


1074 2 


•731 95 


3 


5S 


•681 57 


•931 43 


1073 6 


•731 75 


2 


59 


•681 79 


•931 97 


1073 


■731 55 


1 


60 


•682 00 


•932 52 


1072 4 


•731 35 




r 


1 


COS. 


cot. 


Tan. 


Sin. 



r 




Sin. 
■682 00 


Tan. 


cot. 


Cos. 




■932 52 


1072 4 


•731 35 


60 


1 


•682 21 


•933 06 


1.071 7 


•731 16 


59 


2 


•682 42 


•933 60 


1071 1 


•730 96 


58 


3 


•682 64 


•93+ 15 


1070 5 


■730 76 


57 


4 


•682 85 


•934 69 


1069 9 


■730 56 


56 


5 


•683 06 


•935 24 


1069 2 


■730 36 


55 


6 


■683 27 


•935 78 


1068 6 


■730 16 


54 


7 


•683 49 


•936 33 


1068 


•729 96 


53 


8 


■683 70 


■936 88 


1067 4 


•729 76 


52 


9 


•683 91 


■937 42 


1066 8 


■729 57 


51 


10 


•684 12 


■937 96 


10661 


■729 37 


50 


11 


•684 34 


■938 52 


1065 5 


•729 17 


49 


12 


•684 55 


■939 06 


1064 9 


•728 97 


48 


13 


•684 76 


■939 61 


1064 3 


•728 77 


47 


14 


•684 97 


•94016 


1063 7 


•728 57 


46 


15 


•68518 


•940 71 


1.063 


•728 37 


45 


16 


•685 39 


•941 25 


1062 4 


•728 17 


44 


17 


•685 61 


•941 80 


10618 


•727 97 


43 


18 


•685 82 


•942 35 


10612 


•727 77 


42 


19 


•686 03 


•942 90 


1060 6 


•727 57 


41 


20 


•686 24 


•943 45 


1059 9 


•727 37 


4ft 


21 


•686 45 


•944 00 


1059 3 


•727 17 


39 


22 


•686 66 


•944 55 


1.058 7 


•726 97 


38 


23 


•686 88 


•945 10 


1058 1 


•726 77 


37 


24 


•687 09 


•945 65 


1057 5 


•726 57 


36 


25 




•946 20 


1056 9 


•726 37 


35 


26 


iivwmi 


■946 76 


1 056 2 


•726 17 


34 


27 




•947 31 


1.055 6 


•725 97 


33 


28 


■m-m Ti !] 


•947 86 


1055O 


•725 77 


32 


29 


•688 14 


•948 14 


1-054 4 


•725 57 


31 


30 


•688 35 


•948 96 


105.3 8 


•725 37 


30 


31 


•688 57 


•949 52 


1053 2 


•725 17 


29 


32 


•688 78 


•950 07 


1052 6 


•724 97 


28 


33 


•688 99 


•950 62 


10519 


•724 77 


27 


34 


•689 20 


•951 18 


10513 


•724 57 


26 


35 


■689 41 


•951 73 


1050 7 


•724 37 


25 


36 


■689 62 


•952 29 


10501 


■724 17 


24 


37 


■689 83 


•952 84 


1049 5 


•723 97 


23 


38 


■690 04 


■953 40 


1048 9 


■723 77 


22 


39 


■690 25 


•953 95 


1048 3 


■723 57 


21 


40 


■690 46 


•954 51 


1047 7 


•723 37 


20 


41 




■955 06 


1047 


•723 17 


19 


42 


'690'690 (I II 


■955 62 


1046 4 


■722 97 


18 


43 




■956 18 


1045 8 


•722 77 


17 


44 


■Ii91'69l IS 30 


•956 73 


1045 2 


•722 57 


16 


45 


•691 51 


•957 29 


1044 6 


•722 36 


15 


46 


■691 72 


•957 85 


1044 


■722 16 


14 


47 




•958 41 


1043 4 


■721 96 


13 


48 


«'691!3U 


■958 97 


1042 8 


■721 76 


12 


49 


■992 35 


•959 52 


1042 2 


■721 56 


11 


50 


■692 56 


•960 08 


1041 6 


■.721 36 


10 


51 


■692 77 


■960 64 


10410 


•721 16 


9 


52 


■692 98 


■961 20 


1040 4 


■720 95 


8 


53 


•693 19 


•961 76 


1039 8 


■720 75 


7 


54 


•693 40 


•962 32 


1039 2 


•720 55 


6 


55 


•693 61 


•962 88 


1038 5 


•720 35 


5 


56 


■693 82 


,963 44 


1 037 9 


•720 15 


4 


57 


•694 03 


■964 00 


1037 3 


•719 95 


3 


58 


•694 24 


■964 57 


1 036 7 


•719 74 


2 


59 


■694 45 


■965 13 


1036 1 


•719 54 


1 


60 


■694 66 


•965 69 


1035 5 


•719 34 





Cos. 


Cot. 


Tan. 


Sill. 





132" (312*) 



(227°) 47" 



133' (313") 



112 



(226") 46" 
(Continued) 



SP : 8 - 1970 



44' (224"^ 



TABLE 7A NATURAL FUNCTIONS 



. Cotitd 



(315") 135" 



' 


Sin. 


Tan. 


cot. 


COS. 


1 






•965 69 











•694 66 


•966 25 


1-035 5 


■719 34 


6t> 


1 






1034 9 


•71914 


59 


2 


,691 'WS 8! 08 


•966 81 


1-034 3 


■718 94 


58 


3 


•695 29 




1033 7 


•718 73 


57 


4 


•695 49 


■W«3894 


1-0331 


•718 53 


56 


5 


'695 70 






•718 33^ 




6 


•695 91 


•968 50 


1-032 5 


■71813® 


55 




•6963 2 


•969 07 


1031 9 


•717 92 


54 


7 
8 
9 


•96963 


1-031 3 


•717 72 


53 


■mmui 


■970-9502016 


1.030 1.031 ! 1 


■717 52 


52 .51 


10 




•971 33 






50 


12 


WYi 


■■mt 


1.011895 


■717 ■11132 11 


49 


13 


•697 37 


mmvi 


■^■7|j9111 


48 






•973 02 






47 


14 

n 


-697 58 


•973 59 


1.027 1 


■716 50 


46 


16 


W'698J900 


■974 -914 12 16 


l'()2« 1,025 93 


■716^71H010 


44 45 
43 


18 


•698 21 


-975 29 


1.025 3 


-715 90 


42 


19 


mmmi 


■97i^97i8613 


1,024 1,024 J 1 


■71S^7|S4969 


41 


20 




•977 00 








21 


-698 83 


•977 56 


1,0231 ■0230) 


■71S^71S2908 


40 


22 


•699 04 








39 


23 


•699 25 
•69946 


■97! -918 10 13 


1,022 1,021 4 8 


■714^7148868 


3538 


24 


•699 66 


•979 27 


1-021 2 


-714 47 


36 


25 


•699 87 


•979 84 


1-020 6 


■714 27 


35 


27 


:?682^ 


•980 41 


1-020 


-714 07 


34 


28 


•700 49 


•980 98 
•981 55 


1-018 1,019 4 8 


■7I3^7136686 


33 
32 


29 


•700 70 


•982 13 
•982 70 


1.018 2 


■713 45 


31 


31 


••?8lT2 


•983 27 


1-017 6 


-713 25 


30 


32 


•701 32 


•983 84 


1.017 


■713'7120584 


29 


33 






1-016 4 




28 


34 


■!01'701!453 


■984 ■9M 41 99 


I'OIS 1,015 82 


■712-7124364 


2728 








1-014 7 


■712 23 


25 


3S 


•701 95 


•985 56 


1-0141 




24 


37 


•ITOIIJ 


■Wih 


1012 9 


■!12 ■71103 82 


23 


36 


•702 57 


•987 86 


1012 3 


■711 62 


22 


39 


■702 77 






■71141 


21 


40 












41 


•702 98 


■981 ■989 43 01 


1,011 1,011 ! 1 


•711-711 (» 21 


20 


42 


■W M 








19 


43 


■703^39 6» 


;989^9905816 


1,0101'00995 


■710-7108059 


18 
17 


44 


•703 81 


•990 73 


1-009 4 


■710 39 


16 


45 


•?0422 


•9^1 89 


1.008 8 


■710 19 


15 


47 


•70443 


•99247 


1.008 2 


■70998 


14 


48 


•704 63 




100)1-00760 


■709 78 


13 






•993 04 




■709 57 


12 


49 


•704 84 


■993 62 


1.006 4 


■709 37 


11 


50 




•994 20 


1-005 8 






St 


■70S'7O50525 


•994 78 


1-005 2 


■709 16 


10 


52 




•995 36 


iVIli 


■708 96 


9 


53 


■7O5'7054661 


■995 94 


1-004 71'0041 


■708 75 
■708 55 


8 
7 


54 


•705 87 


•996 52 


1-003 5 


•708 34 


6 


55 


•706 08 


•997 10 


1-002 9 


•708 13 


5 


56 


•706 28 


■997 68 


1.002 3 


•707 93 


4 


57 
58 


'llllM 


■•Mllil 


1'0011'001!2 


■W 55 


3 
2 


59 






1-000 6 


■707 31 


1 


60 


•707 11 


10000 


1-000 


■707 11 







COS. 


cot. 


Tan. 


Sin. 


f 



134" (314°) 



(225°) 45 



113 



SP : 8 - 1970 



TABLE 7B NATURAI/ FUNCTIONS — SECANTS AND COSECANTS 

(359") 179" 1° (Ij (3S8°) 178" 2" (182°) 



)° (180") 



Sec. 



7 
8 
9 

10 

n 

12 
13 
14 

15 

16 
17 
18 
19 

20 
21 
22 
23 
24 

25 

26 
27 
28 
29 

30 

31 
32 
33 
34 

35 
36 
37 
38 
39 

40 

41 
42 
4i 
44 

45 
46 
47 
48 
49 

50 

51 
52 

53 
54 

55 
56 
57 
58 
59 

60 



10000 
1000 
1000 
1000 8 
1000 

1-000 , 
1000 
1000 
1000 
1000 

1000 
1000 
1000 
1000 
10000 

1000 
1000 
1000 
1000 
1000 8 

1000 
1-000 
l-OOOO 
1.000 
l-OOOO 

l-QOOO 
1000 
l-OOOO 
l-OOOO 
1-0000 

1-000 
1-000 
1 -000 
1000 
1000 

1-000 1 
1-000 1 
1-000 1 
1-000 1 
1-0001 

1 -000 1 
1 -000 1 
1 -000 1 
1 -000 1 
:l -000 1 

1 000 1 
10001 
1-0001 
1-0001 
10001 

1-0001 
1-0001 
10001 
10001 
10001 

1-0001 
10001 
1-0001 
10001 
1000 I 

1-000 2 



Csc. 



3 437.7 
1 718.9 
1 145.9 
85944 

. 687-55 

' 572.96 

491.11 

429.72 

381.97 

343.78 
312.52 
286.48 
26444 
245.55 

229.18 
214-86 
202-22 
190-99 
180.93 

171-89 
163-70 
156.26 
149.47 
143.24 

137.51 
132.22 
127.33 
122.78 
118.54 

114.59 
110-90 
li57-43 
104-18 
101.11 

98.223 
95.495 
92.914 
90.469 
88.149 

85-946 
83.849 
81.853 
79.950 
78.133 

76.397 
74.736 
73.146 
71.622 
70.160 

68.757 
67-409 
66113 
64.866 
63.665 

62.507 
61.391 
60.314 
59.274 
58.270 

57-299 



Sec. 



60 

59 
58 
57 
56 

55 

54 
53 
52 
51 

50 
49 
48 
47 
46 

45 

44 
43 
42 

41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 
29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
18 
17 
16 

15 

14 
13 
12 
11 

10 
9 
8 
7 
6 

5 
4 
3 
2 

1 





1 
2 
3 
4 

5 

6 
7 
8 
9 

10 

11 
12 
13 
14 

15 

16 

17 
18 
19 

20 

21 
22 
23 
24 

25 
26 

27 
28 
29 

30 

31 
32 
33 
34 

35 

36 
37 
38 
39 

40 

41 
42 
43 
44 

45 

46 
47 
48 
49 

50 

51 
52 
S3 
54 

55 
56 
57 
58 
59 

60 



(35" 177" 



Sec. 



1-000 2 
1-000 2 
1-000 2 
1000 2 
1000 2 

1-000 2 
1-000 2 
1000 2 
1-000 2 
1-000 2 

1-000 2 
1-000 2 
1-000 2 
1-000 2 
1-000 2 

■000 2 
•000 2 
•000 3 
•000 3 
•000 3 

1000 3 
1000 3 
1.000 3 
1 •OOO 3 
1.000 3 

1000 3 
1 •OOO 3 
1^000 3 
1000 3 
1^000 3 

1000 3 
1-0004 
1000 4 
10004 
1.0004 

1.000 4 
1^0004 
1-000 4 

1^0004 
1^000 4 

1000 4 
1000 4 
1^000 4 
1^0004 
1.000 5 

1000 5 
1000 5 
1^000 5 
1-000 5 
1^000 5 

1-000 5 
1000 5 
1000 5 
1000 5 
1000 6 

1000 6 
1000 6 
1.0006 
1000 6 
1000 6 

1000 6 



CSC, 



Csc. 



57299 
56.359 
55.451 
54.570 
53.718 

52892 
52090 
51-313 
50.558 
49.826 

49.114 
48.422 
47.750 
47096 
46-460 

45-840 
45-237 
44-650 
44077 
43 520 , 

42.976 
42.445 
41.928 
41.423 
40.930 

40-448 
39.978 
39.519 
39.070 
38.631 

38.202 

37-782 
37-371 
36.970 
36-576 

36.191 
35.815 
35445 
35-084 
34.730 

34.382 
34.042 
33.708 
33.381 
33.060 

32.746 
32-437 
32.134 
31.836 
31.544 

31-258 
30.976 
30.700 
30-428 
30.161 

29-899 
29-641 
29-388 
29139 
28-894 

28-654 



Sec. 



»0 

59 
58 
57 
56 

55 
54 
53 
52 
51 

50 

49 
48 
47 
46 

45 

44 
43 
42 
41 

40 

39 
38 
37 
36 

35 

34 
33 
32 
31 

30 
29 
28 
27 
26 

25 
24 
23 
22 
21 

20 

19 
18 
17 
16 

15 

14 
13 
12 
11 

10 

9 
8 
7 
6 

5 

4 
3 
2 
1 






Sec. 


Csc. 


/ 


1000 6 


28-654 


60 


1 


1000 6 


28-417 


59 


2 


1000 6 


28184 


58 


3 


1000 6 


27-955 


57 


4 


1000 7 


27-730 


56 


5 


1000 7 


27.508 


5S 


6 


1000 7 


27.290 


54 


7 


1000 7 


27075 


53 


8 


1-000 7 


26.864 


52 


9 


1-000 7 


26.655 


51 


10 


1000 7 


26-45 1 


50 


11 


1-000 7 


26-249 


49 


12 


1-000 7 


26050 


48 


13 


1-000 7 


25.854 


47 


14 


1-000 8 


25.661 


46 


15 


1-000 8 


25.471 


45 


16 


1-0008 


25,284 


44 


17 


1000 8 


25100 


43 


18 


1000 8 


24-918 


42 


19 


1000 8 


24.739 


41 


20 


1000 8 


24-562 


40 


21 


1000 8 


24-388 


39 


22 


1000 9 


24.216 


38 


23 


1000 9 


24-047 


37 


24 


1000 9 


23-880 


36 


25 


1000 9 


23.716 


35 


26 


1000 9 


23.553 


34 


27 


1000 9 


23.393 


33 


28 


1-000 9 


23.235 


32 


29 


1000 9 


23 079 


31 


30 


1-0010 


22.926 


30 


31 


1-0010 


22.774 


29 


32 


1-001 


22.624 


28 


33 


1-0010 


22.476 


27 


34 


1-001 


22.330 


26 


35 


1-0010 


22187 


25 


36 


10010 


22-044 


24 


37 


10010 


21-904 


23 


38 


1-001 1 


21-766 


22 


39 


10011 


21-629 


21 


40 


1-001 1 


21-494 


2* 


41 


1-001 1 


21 360 


19 


42 


1-001 1 


21-229 


18 


43 


1-001 1 


21-098 


17 


44 


1-001 1 


20.970 


16 


45 


10012 


20-S43 


15 


46 


1-001 2 


20-717 


14 


47 


1-0012 


20-593 


13 


48 


1-0012 


20-471 


12 


49 


1-0012 


20-350 


11 


50 


10012 


20-230 


10 


51 


10012 


20-112 


9 


52 


1-0013 


19-995 


8 


53 


10013 


19-880 


7 


54 


1-001 3 


19.766 


6 


55 


1-001 3 


19.653 


5 


56 


1-001 3 


19.541 


4 


57 


1-0013 


19-431 


3 


58 


10013 


19-322 


2 


59 


10014 


19-214 


1 


60 


10014 


19-107 




/ 


/ 


Csc. 


Sec. 



90° (270") 



(269") 89° 91" (271°) 



(268°) 88° 92" (272") 



114 



(267°) 87" 



SP : 8 - 1970 



3' (183") 



TABLE 7B NATURAL FUNCTIONS 
(3Si6") 176° 4° (184") 



SECANTS AND COSECANTS —Contd 

(355") 175" 5" (185") (354 



/ 


Sec. 


Csc. 


/ 





10014 


19-107 


>0 


1 


1-0014 


19-002 


;9 


2 


10014 


18-898 


i8 


3 


10014 


18-794 


i7 


4 


1-0014 


18.692 


i6 


5 


10014 


18-591 


i5 


6 


1-001 5 


18.492 


i4 


7 


10015 


18.393 


53 


8 


1-0015 


18.295 


J2 


9 


1-0015 


18-198 


>1 


10 


1-0015 


18.103 


SO 


11 


10015 


18-008 


\<) 


12 


1-0016 


17.914 


t8 


13 


1-0016 


17.822 


Vl 


14 


1-0016 


17.730 


^6 


15 


1-0016 


17.639 


15 


16 


10016 


17.549 


W 


17 


10016 


17-460 


t3 


18 


10017 


17-372 


\1 


19 


1-0017 


17.285 


n 


20 


10017 


17.198 


to 


21 


10017 


17.113 


39 


22 


10017 


17-028 


38 


23 


10017 


16-945 


37 


24 


1.001 8 


16-862 


36 


25 


10018 


16.779 


35 


26 


1.001 8 


16.698 


34 


27 


1-0018 


16.618 


33 


28 


10018 


16.538 


32 


29 


10019 


16.459 


31 


30 


1^0019 


16.380 


}0 


31 


1 001 9 


16.303 


29 


j2 


1-0019 


16.226 


28 


33 


10019 


16-150 


27 


}'' 


1-0019 


16.075 


26 


35 


1002 


16000 


25 


36 


10020 


15.926 


24 


37 


1002 


15.853 


23 


38 


1.002 


15-780 


22 


39 


1002 


15-708 


21 


40 


1-0021 


15.637 


20 


41 


1002 1 


15.566 


19 


42 


1-002 1 


15.496 


18 


43 


1-0021 


15.427 


17 


44 


1002 1 


, 15.358 


16 


45 


1.002 1 


» 5.290 


15 


46 


1002 2 


15.222 


14 


•47 


1-002 2 


15-155 


13 


48 


1-002 2 


15.089 


12 


49 


1-002 2 


15.023 


11 


50 


1-002 2 


14.958 


10 


51 


1-002 3 


14.893 


9 


52 


1-002 3 


14-829 


8 


53 


1-002 3 


14-766 


7 


54 


1-002 3 


14-703 


6 


55 


1002 3 


14-640 


5 


56 


1-002 4 


14-578 


4 


57 


1-002 4 


14-517 


3 


58 


1-002 4 


14-456 


2 


59 


1-002 4 


14.395 


1 


60 


1-002 4 


14.336 





CSC. 


Sec. 




93" (J 


73") 


(2« 


6°r86 



10 

11 

12 
13 
14 

15 
16 
17 
18 
19 

20 
21 
22 
23 
24 

25 

26 
27 
28 
29 

3D 

31 
32 
33 
34 

35 

36 
37 
38 
39 

40 
41 
42 
43 
44 

45 

46 
47 
48 
49 

50 

51 
52 
53 
54 

55 

56 
57 
58 
59 

60 



Sec. 



1.002 4 
1-002 5 
1.002 5 
1002 5 
1.002 5 

1 -002 5 
1002 6 
1.002 6 
1.002 6 
1002 6 

1-002 7 
1002 7 
1002 7 
1002 7 

1.002 7 

1-002 8 
1002 8 
1002 8 
1-002 8 
1-002 8 

1002 

1002 8 
1 -002 9 
1 002 9 

1.003 

1.003 
1.003 
10O3O 

1003 
1003 1 

1.003 1 
10031 
1.003 1 
1-003 2 
1003 2 

1.003 2 
1003 2 
1003 3 
1.003 3 
1-003 3 

1-003 3 
1-0034 
1003 4 
1.003 4 
1003 4 

1003 4 
1003 5 
1003 S 
1-003 5 
1003 5 

1003 6 
1003 6 
1-003 6 
1003 6 
1003 7 

1.003 7 
1-003 7 
1003 7 
1-003 8 
1.003 8 

1-003 8 



Csc. 



Csc. 



14-336 
14.276 
14.217 
14.159 
14-101 

14.044 
13.987 
13.930 
13-874 
13.818 

i3-763 
13-708 
13.654 
13-600 
13.547 

13.494 
13441 
13.389 
13.337 
13.286 

13.235 
13.184 
13.134 
13.084 
13.035 

12.985 
12.937 
12.888 
12.840 
12.793 

12.745 
12.699 

12-652 
12-606 
12-560 

12.514 
12.469 
12.424 
12.379 
12.335 

12.291 
12.248 
12-204 
12.161 
12119 

12.076 

12034 
11-992 
11-951 
11.909 

11-868 
11-828 
11.787 
11-747 
11-707 

11.668 
11.628 
11.589 
11-551 
11.512 

11,474 



Sec. 



60 

59 
58 
57 
56 

55 

54 
53 
52 
51 

50 

49 
48 
47 
46 

45 
44 
43 
42 
41 

40 
39 
38 
37 
36 

35 

34 
33 
32 
31 

30 

29 
28 
27 
26 

25 
24 
23 
22 
21 

20 

19 
18. 
17 
16 

15 

14 
13 
12 
11 

10 
9 

8 
7 
6 

5 

4 
3 
2 
1 



f 


Sec. 


C?c. 







1003 8 


11-474 


60 


1 


1003 8 


11.436 


59 


2 


1.003 9 


11.398 


58 


3 


1.003 9 


11-360 


57 


4 


1003 9 


11.323 


56 


5 


1003 9 


11.286 


55 


6 


1004 


11.249 


54 


7 


1-0040 


11.213 


53 


8 


10040 


11.176 


52 


9 


10041 


11.140 


51 


10 


1-004 1 


11-1(J5 


50 


11 


1-0041 


11-069 


49 


12 


1-004 1 


11-034 


48 


13 


1.004 2 


10-998 


47 


14 


1.004 2 


10-963 


46 


15 


1-004 2 


10-929 


45 


16 


1 -004 2 


10-894 


44 


17 


1004 3 


10.860 


43 


18 


1004 3 


10-826 


42 


19 


1004 3 


10.792 


41 


20 


1-004 3 


10-758 


40 


21 


1004 4 


10-725 


39 


22 


1004 4 


10-692 


38 


23 


1004 4 


|0-659 


37 


24 


1004 5 


io-626 


36 


25 


1004 5 


10.593 


35 


26 


1004 5 


10.561 


,'4 


27 


1-PG4 5 


10.529 


33 


28 


1'004 6 


10-497 


32 


29 


1004 6 


10-465 


31 


30 


1-004 6 


10-433 


30 


31 


1004 7 


10.402 


29 


32 


1-004 7 


10.371 


28 


33 


1-004 7 


10-340 


27 


34 


1004 7 


10-309 


26 


35 


1004 8 


10-278 


25 


36 


1004 8 


10-248 


24 


37 


1004 8 


10.217 


23 


38 


1-004 9 


10.187 


22 


39 


1.004 9 


10.157 


21 


40 


1.004 9 


10128 


20 


41 


1004 9 


10.098 


19 




lOOSO 


10.068 


18 


4: 


1005 


10039 


17 


44 


1-005 


10010 


16 


45 


1005 1 


9.981 2 


15 


46 


10051 


9.952 5 


14 


47 


1-005 1 


9.923 9 


13 


48 


1005 1 


9-895 5 


12 


49 


1005 2 


9.867 2 


11 


50 


1-005 2 


9.839 1 


10 


'?1 


1-005 2 


9.811 2 


9 


52 


1-005 3 


9-783 4 


8 


•53 


1-C05 3 


9.755 8 


7 


54 


1-005 3 


9.728 3 


6 


55 


1-005 4 


9-701 


5 


56 


1-005 - 


9.673 9 


4 


57 


1005 4 


9.646 9 


3 


58 


1005 4 


9.620 


2 


59 


1-005 5 


9.593 3 


1 


60 

f 


1005 5 


9.566 8 





csc. 


Sec. 





»4° (274°) 



(265°)85° 95" (27'5") 



115 



(264°) 84° 
{Continued) 



SP:8- 1970 





TABLE 7B 


MATURAL 


FUNCTIONS _ 


SECANTS 


AND COSECANTS —Contd 




5" (186") 


(353°) 173' 




7° (187") (352") 172° 


8 


"> (188") 


(351°) m» 


/ 


Sec. 


Csc. 


60 




f 




Sec. 


Csc. 


t 
60 


> 


1 
f 




Sec. 


Csc. 


60 





1005 5 


9-566 8 


1007 5 


8-205 5 


1.009 8 


7-185 3 


1 


1005 5 


9-540 4 


59 




1 


1007 5 


8186 1 


59 




1 


1.009 9 


7170 5 


59 


2 


1005 6 


9-514 1 


58 




2 


1007 6 


8166 8 


58 




2 


1009 9 


7-155 7 


58 


3 


1005 6 


9.488 


57 




3 


1-007 6 


8147 6 


57 




3 


1-010 


7141 


57 


4 


1005 6 


9.462 


56 




4 


1007 7 


8.128 5 


56 




4 


1010 


7126 3 


56 


5 


1005 7 


9-436 2 


55 




5 


1007 7 


8109 5 


55 1 




5 


1010 


7-1117 


55 


6 


1005 7 


9-410 5 


54 




6 


1-007 7 


8090 5 


54 




6 


1-0101 


7-097 2 


54 


7 


1005 7 


9-385 


53 




7 


1007 8 


8071 7 


53 




7 


1.010 1 


7082 7 


53 


8 


1005 8 


9-359 6 


52 




8 


1-007 8 


80S2 9 


S2 




8 


1-010 2 


7068 3 


52 


9 


1005 8 


9-334 3 


51 




9 


1007 8 


8034 2 


51 




9 


1010 2 


7053 9 


51 


10 


1005 8 


9.309 2 


50 




LO 


1.007 9 


8.015 6 


50 




10 


1010 


7039 6 


50 


11 


1005 9 


9-284 2 


49 




11 










11 


1010 3 


7-025 4 


♦9 


[2 


1005 9 


9-259 3 


48 




12 


1«1'007 !! 


I.CT W ! 1 


111! 




12 


1.010 3 


7011 2 


48 


13 


1005 9 


9.234 6 


47 




13 


1-008 








13 


1010 4 


6-9971 


47 


14 


1005 9 


9.210 


46 




14 


1-008. 


immi 


«li 




14 


1.0104 


6.983 


46 


15 


1006 


9.185 5 


45 








7-9240 


45 




15 


1-010 5 


6-969 


45 


16 


1006 


9.161 2 


44 




16 


1-0081 


7-905 9 


44 




16 


1.010 5 


6-955 8 


44 


17 


1-006 


9.137 


43 




17 


wirisi 


7-887-9 


43 




17 


1.010 5 


6.9411 


43 


18 


1006 1 


9.112 9 


42 




18 










18 


1010 6 


6.927 3 


42 


19 


1006 1 


9.089 


41 




19 
20 


L0031'W22 
1008 2 


i-mnn 


12 11 




19 


1-010 6 


6-913 5 


41 


iO 


1006 1 


9-065 2 


40 




21 


1-008 3 


7.8344 


40 




20 


1.010 7 


6-899 8 


40 


21 


1006 2 


9-041 5 


39 






l-UUO 3 


7-816 8 


39 




21 


1010 7 


6-886 1 


39 


22 


I 006 2 


9.017 9 


38 




22 


1008 3 


7-799 2 


38 




22 


1010 8 


6.872 5 


38 


23 


1006 2 


8.994 4 


37 




23 


1-008 4 


7.781 7 


37 




23 


1-010 8 


6858 9 


37 


24 


1.006 3 


8.971 1 


36 




24 


1008.4 


7.764 2 


36 




24 


1.010 8 


6-845 4 


36 


is 


1006 3 


8.947 9 


35 








7-746 9 


35 




25 


1010 9 


6-832 


35 


26 


1006 3 


8.924 8 


34 




25 


1008 4 


7-729 6 


34 




26 


1010 9 


6-818 6 


34 


27 


1006 4 


8.901 9 


33 




2« 


1008 5 


7-712 4 


33 




27 


10110 


6-805 2 


33 


28 


1006 4 


8.879 


32 




28 


1-008 6 


7-695 3 






28 


10110 


6-791 9 


32 


29 


1-006 4 


8.856 3 


31 




29 


1-008 6 


7,67'8 , 3 


!Z!1 




29 


1-0111 


6-778 7 


31 


SO 


1-006 5 


8-833 7 


30 




30 


1.008 6 


7-661 3 


30 




30 


1.011 1 


6.765 5 


30 


31 


1006 5 


8-8112 


29 




31 


1008 7 


7.6444 


29 




31 


10112 


6.752 3 


29 


32 


1006 5 


8.788 8 


28 




32 


1-008 7 


7.627 6 


28 




32 


1011 2 


6.739 2 


28 


33 


1006 6 


8.766 5 


27 




33 


1-008 8 


7.6109 


27 




33 


10112 


6.726 2 


27 


34 


1006 6 


8.744 4 


26 




34 




7.594 2 


26 




34 


1-0113 


6.713 2 


26 


35 


1006 6 


8.722 3 


25 






1008 8 


7-577 6 


25 




35 


1.011 3 


6.700 3 


25 


36 


1-006 7 


8.700 4 


24 




36 


1-008 9 


7-561 1 


24 




36 


1-0114 


6.687 4 


24 


37 


1006 7 


8.678 6 


23 




37 


1.0089 


7,544 , 6 


23 




37 


10114 


6.674 5 


23 


38 


1006 7 


8.6569 


22 




38 










38 


1-0115 


6-661 8 


22 


39 


1006 8 


I 8.635 3 


21 




39 


Hl(|91«890 


Htn,528!! 


n 




39 


10115 


6-649 


21 


40 


1-006 8 


8-613 8 


20 




40 


1-009 


7.495 7 


20 




40 


1.011 6 


6.636 3 


20 


41 


1006 8 


8-592 4 


19 




41 


1-009 1 


7.479 5 


19 




41 


10116 


6-623 7 


19 


42 


1006 9 


8-571 1 


18 




42 


10091 


7.463 5 


18 




42 


1.011 6 


6-611 1 


18 


43 


1.006 9 


8-550 


17 




43 


1-009 1 


7447 4 


17 




43 


10117 


6.598 6 


17 


44 


1 006 9 


8.528 9 


16 




44 


1-009 2 


7-431 5 


16 




44 


1-0117 


6586 1 


16 


45 


1O07O 


8-507 9 


15 




45 


1-009 2 


7.415 6 


15 




45 


1011 


6-573 6 


15 


46 


1-007 


8-487 1 


14 




46 


1-009 3 


7.399 8 


14 




46 


1-011 3 


6-561 2 


14 


47 


1007 


8.466 3 


13 




47 


1-009 3 


7.384 


13 




47 


1-0119 


6-548 9 


13 


48 


1-007 1 


8445 7 


12 




48 


1-009 3 


7.368 4 


12 




48 


1-0119 


6-536 6 


12' 


49 


1007 1 


8.425 1 


11 




49 


1009 4 


7.352 7 


11 




49 


1-012 


6.524 3 


11 


50 


1007 2 


8.404 7 


10 




50 


1-009 4 


7.337 2 


10 




50 


1.012 


6.512 1 


10 


52 


1(5077 2 


8.384 3 


9 




51 


1009 5 


7-3->l 7 


9 




51 


1012 


6-499 9 


9 


53 


1-007 . 3 


1.11.31! 11 


8 




52 


1-009 5 


7.306 3 


8 




52 


10121 


6-487 8 


8 








7 




53 


1-009 5 


7.290 9 


7 




53 


1.012 1 


6.475 7 


7 


54 


1007 3 


8.323 8 


6 




54 


1009 6 


7.275 T 


6 




54 


1-012 2 


6.463 7 


6 


55 


1007 3 


8-303 9 


5 




56 






5 




55 


1.012 2 


6-451 7 


5 


56 


1007 4 


8-284 


4 




57 


i■m^ . 


7:2493 


4 




56 


1.012 3 


6-439 8 


4 


57 


1-007 4 


8-264 2 


3 














57 


1-012 3 


6.427 9 


3 


58 


1007 4 


8.244 6 


2 




58 


m-1 


W 1 


! 




58 


1-012 4 


6.416 


2 


59 


1007 5 


8.225 


1 




59 


mm 78 


M,.j,5j! 


!1 




59 


1-012 4 


6.404 2 


1 


60 


1007 5 


8.205 5 







60 1 000 8 

1 


7.185 3 



1 

r 




60 


1012 5 


6.392 5 





^ 


Csc. 


Sec. 


/ 


Csc. 


Sec. 


/ 


Csc. 


Sec. 


96" 1276") 


(26 


3") S3 


O 


97" (277°) (262") 82 





98" (2 


78") 


(26 


1°) 81° 



116 



(ContiniuS) 



SP : 8 - 1970 



r (189°) 



TABLE 7B NATURAL FUNCTIONS 
(350") 170° 10" (190°) 



SECANTS AND COSECANTS — Contd 
(349") 169" 11° (191") 



(348") 168" 



/ 


Sec. 


CSC. 


' 





1.012 5 


6.392 5 


60 


1 


1.012 5 


6-380 7 


59 


2 


1012 6 


6-369 1 


58 


3 


1012 6 


6-357 4 


57 


4 


1.012 7 


6-34S 8 


56 


5 


1.012 7 


6-334 3 


55 


6 


1012 7 


6-322 8 


54 


7 


1012 8 


6-311 3 


S3 


8 


1-012 8 


6.299 9 


52 


9 


1012 9 


6.288 5 


51 


10 


1.012 9 


6-277 2 


50 


11 


1-013 


6-265 9 


49 


12 


1-013 


6-254 6 


48 


13 


1013 1 


6-243 4 


47 


14 


1.013 1 


6-232 3 


46 


15 


1.013 2 


6.221 1 


45 


16 


1013 2 


6-210 


44 


17 


1-013 3 


6-199 8 


43 


18 


1.013 3 


6-188 


42 


19 


1.013 4 


6.177 


41 


20 


1-013 4 


6.166 1 


40 


21 


1-013 5 


6-155 


39 


22 


1.013 5 


6-144 3 


38 


23 


1-013 6 


6-133 5 


37 


24 


1013 6 


6-122 7 


36 


25 


1013 7 


6.112 


35 


26 


1-0137 


6.101 3 


34 


27 


1-013 8 


6.090 6 


^3 


28 


l-0t3 8 


6.080 


32 


29 


1-013 9 


6.069 4 


31 


30 


1-013 9 


6-058 9 


iO 


31 


1-01+0 


6-048 3 


29 


32 


1-014 


6.037 9 


28 


33 


1-014 1 


6.027 4 


?,7 


34 


1-014 1 


6.017 


26 


35 


1-014 2 


6.006 7 


25 


36 


1-014 2 


5.996 3 


24 


37 


1-014 3 


5-986 


23 


38 


1014 3 


5.975 8 


22 


39 


1.0144 


5-965 6 


21 


40 


1-014 4 


5-955 4 


!0 


♦1 


1014 5 


5945 2 


19 


42 


1.014 5 


5.935 1 


18 


43 


1-014 6 


5-925 


17 


♦4 


1.014 6 


5.915 


16 


45 


1.014 7 


5.904 9 


15 


46 


1-014 7 


5-895 


14 


47 


1.014 8 


5.885 


13 


48 


1-014 8 


5.875 1 


1?. 


49 


1014 9 


5.865 2 


11 


50 


1.014 9 


5-855 4 


10 


51 


1-015 


5.845 6 


9 


52 


1-015 


5.835 8 


8 


53 


10151 


5.826 1 


7 


54 


1-015 1 


5-816 4 


6 


55 


1-015 2 


5.806 7 


5 


56 


1-015 2 


5.797 


4 


57 


1015 3 


5.787 4 


3 


58 


1-015 3 


5-777 8 


2 


59 


1-015 4 


5.768 3 


1 


60 


1-015 4 


5.758 8 





CEC. 


Sec. 


/ 



' 


Sec. 


Csc. 


/ 





1-015 4 


5-758 8 


60 


1 


1-015 5 


5-749 3 


59 


2 


1-015 5 


5-739 8 


58 


3 


1.015 6 


5-730 4 


57 


4 


1.015 6 


5-721 


56 


5 


1-015 7 


5-7117 


55 


6 


1-015 7 


5-702 3 


54 


7 


1-015 8 


5-693 


53 


8 


1-015 8 


5-683 8 


52 


9 


1-015 9 


5-674 5 


51 


10 


1-016 


5-665 3 


50 


11 


1-016 8 


5-656 2 


49 


12 


1.016 1 


5.647 


48 


13 


1.016 1 


5-637 9 


47 


14 


1-016 2 


5-628 8 


46 


15 


1-016 2 


5-619 8 


45 


16 


1-016 3 


5-610 7 


44 


17 


1-016 3 


5-601 7 


43 


18 


1016 4 


5-592 8 


42 


19 


1-016 4 


5.583 8 


41 


30 


1.016 5 


5-574 9 


40 


21 


1.016 5 


5.566 


39 


22 


1-016 6 


5.557 2 


38 


23 


1-016 6 


5-548 4 


37 


24 


1016 7 


5.539 6 


36 


25 


1-016 8 


5-5308 


35 


26 


1-016 8 


5-522 1 


34 


27 


1016 9 


5-513 4 


33 


28 


1-016 9 


5-504 7 


32 


29 


1.017 


5.496 


31 


30 


1-017 


5-487 4 


30 


31 


1-0171 


5.478 8 


29 


32 


1-017 1 


5-470 2 


28 


33 


1-017 2 


5.461 7 


27 


34 


1-017 3 


5.453 2 


26 


35 


1.017 3 


54447 


25 


36 


1.017 4 


5-436 2 


24 


37 


roi7 4 


5-427 8 


23 


38 


1.017 5 


5-419 4 


22 


39 


1.017 5 


5-4110 


21 


40 1 


1.017 6 


5-402 6 


20 


41 


1-017 6 


5-394 3 


19 


42 


1017 7 


5-386 


18 


43 


1017 8 


5-377 7 


17 


44 


1.017 8 


5-369 5 


16 


45 


1.017 9 


5-361 2 


15 


46 


1017 9 


5-353 


14 


47 


1.018 


5-344 9 


13 


48 


1-018 


5-336 7 


12 


49 


1-018 1 


5-328 6 


11 


50 


1.018 1 


5-320 5 


LO 


51 


1.018 2 


5-312 4 


9 


52 


1-018 3 


5-304 4 


8 


53 


1-018 3 


5.296 3 


7 


54 


1.018 4 


5.288 3 


6 


55 


1.018 4 


5-280 4 


5 


56 


1-018 5 


5.272 4 


4 


57 


1-018 5 


5.264 5 


3 


58 


1-018 6 


5-256 6 


2 


59 


1-018 7 


5-248 7 


1 


60 


1.018 7 


5.240 8 





Csc. 


Sec. 





99" (279") 



(260') 80" 



100° (280°) 



(259°) 79" 






Sec. 


Csc. 


f 

60 


1-018« 


5.240 8 


1 


1-018 8 


5.233 


59 


2 




5-225 2 


58 


3 


1.0189 


5-217-4 


57 


4 


1.018 9 


5.209 7 


56 


5 


1-019 


5-201 9 


55 


6 


1-019 1 


5-194 2 


54 


7 


1-019 1 


5-186 5 


53 


8 


1-019 2 


5-178 9 


52 


9 


1-019'- 


5-1712 


51 


10 


1-019 3 


5-163 6 


50 


11 


1-019 4 


5-156 


49 


12 


1.019 4 


5-148 4 


48 


13 


1.019 5 


5140 9 


47 


14 


1.019 5 


5-133 3 


46 


15 


1.019 6 


5.125 8 


45 


16 


1-019 7 


5-118 3 


44 


17 


1-019 7 


5-110 9 


43 


18 


1-019 8 


5-103 4 


42 


19 


1.019 8 


5.096 


41 


20 


1-019 9 


5-088 6 


40 


21 


1-019 9 


5-081 3 


39 


22 


1-020O 


5-073 9 


38 


23 


1.020 1 


5-066 6 


37 


24 


1 -020 1 


5059 3 


36 


25 


1-020 2 


5-052 


}5 


26 


1-020 2 


5044 7 


34 


27 


1.020 3 


5037 5 


33 


28 


1020 4 


5.030 2 


32 


29 


1-020 4 


5-023 


31 


30 


1-020 5 


5-015 9 


iO 


31 


1-020 5 


5.008 7 


29 


32 


1-020 6 


5-0016 


28 


33 


1-020 7 


4-994 4 


27 


34 1 


1-020 7 


4-987 3 


26 


S5 


1.020 8 


4-980 3 


25 


36 


1.020 9 


4.973 2 


24 


37 


1.020 9 


4.966 2 


23 


38 


1.021 


4.959 1 


22 


39 


1.021 


4.952 1 


21 


40 


1021 1 


4-945 2 


iO 


41 


1021 


4.938 2 


19 


42 


1-021 a 


4.931 3 


18 


43 


1.021 3 


4-924 4 


17 


44 


1-0213 


4-917 5 


16 


45 


1-0214 


4.910 6 


15 


46 


1-021 5 


4-903 7 


14 


47 


1021 5 


4.896 9 


13 


48 


1-0216 


4.890 1 


12 


49 


10217 


4.883 3 


11 


50 


1.021 7 


4-876 5 


to 


51 


1-021 8 


4.869 7 


9 


52 


1-021 8 


4-863 


8 


53 


1.021 9 


4.856 3 


7 


54 


1022 


4-849 6 


6 


55 


1.022 


4-842 9 


5 


56 


1.022 1 


4-836 2 


4 


57 


1.022 2 


4-829 6 


3 


58 


1-022 2 


4-822 9 


2 


59 


1-022 3 


4-816 3 


1 


60 


1.022 3 


4.809 7 







CSC. 


Sec. 





101 (281°) 



117 



(258°) 78° 
[Continued) 



SP : 8 - 1970 



W (192 ) 



TABLE 7B NATURAL FUNCTIONS 
(347°) 167 13 (193 ) 



■SECANTS AND 
(346°) 166 



COSECANTS 
14° (1949) 



• Conti 



(345°) 165° 



/ 


Sec, 


Csc. 


f 





1.022 3 


4.809 7 


60 


1 


1-022 4 


4.803 2 


59 


2 


1.022 5 


4.796 6 


58 


3 


1022 5 


4-790 1 


57 


4 


1.022 6 


4.783 6 


56 


5 


1.022 7 


4.777 1 


55 


6 


1.022 7 


4.770 6 


54 


7 


1-022 8 


4.764 1 


53 


8 


1.022 8 


4.757 7 


52 


9 


1-022 9 


4.751 2 


51 


10 


1-023 


4.744 8 


50 


11 


1-023 


4.738 4 


49 


12 


1.023 1 


4.732 1 


48 


13 


1.023 2 


4.725 7 


47 


14 


1.023 2 


4.719 4 


46 


15 


1.023 3 


4.713 


45 


16 


1.023 4 


4.706 7 


44 


17 


1-023 4 


4-700 4 


43 


18 


1.023 5 


4.694 2 


42 


19 


1 -023 6 


4.687 9 


41 


20 


1-023 6 


4-681 7 


40 


21 


1.023 7 


4.675 5 


39 


22 


1023 8 


4.669 3 


38 


23 


1-023 8 


4.663 1 


37 


24 


1.023 9 


4-656 9 


36 


2.5 


1.024 


4-650 7 


35 


26 


1-024 


4-644 6 


34 


27 


1.024 1 


4.638 5 


33 


28 


1.024 1 


4.632 4 


32 


29 


1.024 2 


4.626 3 


31 


30 


1.024 3 


4-620 2 


30 


31 


1.024 3 


4-614 2 


29 


32 


1.024 4 


4.608 1 


28 


33 


1-024 5 


4-602 1 


27 


34 


1-024 5 


4.596 1 


26 


35 


1.024 6 


4.590 1 


25 


36 


1-024 7 


4.584 1 


24 


37 


1-02^7 


4-578 2 


23 


38 


1.024 8 


4-572 2 


22 


39 


1,024 9 


4-566 3 


21 


40 


1-024 9 


4-560 4 


20 


41 


1-025 


4-554 5 


19 


42 


1-0251 


4.548 6 


18 


43 


1-025 1 


4.542 8 


17 


44 


1-025 2 


4.536 9 


16 


45 


1-025 3 


4.531 1 


15 


46 


t-025 3 


4-525 3 


14 


47 


1-025 4 


4-519 5 


13 


48 


1 -'teD 5 


4.513 7 


12 


49 


1-025 6 


4,507 9 


11 


50 


1-025 6 


4-502 2 


10 


51 


1.025 7 


4.496 4 


9 


52 


1-025 8 


4-490 7 


8 


S3 


1 -025 8 


4.485 


7 


54 


1.025 9 


4.479 3 


6 


55 


1026 


4.473 6 


5 


56 


1-026 


4-467 9 


4 


57 


1.026 1 


4-462 3 


3 


58 


1.026 2 


4.456 6 


2 


59 


1.026 2 


4-451 


1 


60 


1.026 3 


4-445 4 





Csc. 


Sec. 


' 



' 


Sec. 


Csc. 


60 





1.026 3 


4.445 4 


1 


1.026 4 


4.439 8 


59 


2 


1-026 4 


4.434 2 


58 


3 


1-026 5 


4.428 7 


57 


4 


1-026 6 


4.4231 


56 


5 


1-026 6 


4.417 6 


55 


6 


1-026 7 


4.412 1 


54 


7 


1026 8 


4.406 6 


53 


8 


1-026 9 


4.401 1 


52 


9 


1-026 9 


4.395 6 


51 


10 


1-027 


4.390 1 


50 


11 


1.027 1 


4.384 7 


49 


12 


1.027 1 


4.379 2 


48 


13 


1.027 2 


4.373 8 


47 


14 


1.027 3 


4-368 4 


46 


15 


1.027 3 


4.363 


45 


16 


1-027 4 


4.357 6 


44 


17 


1.027 5 


4.352 2 


43 


18 


1.027 6 


4.346 9 


42 


19 


1.027 6 


4.341 5 


41 


20 


1.027 7 


4.336 2 


40 


21 


1.027 8 


4.330 9 


39 


22 


1.027 8 


4-325 6 


38 


23 


1.927 9 


4-320 3 


37 


24 


1-028 


4.315 


36 


25 


1-0281 


4.309 8 


35 


26 


1-0281 


4-304 5 


34 


27 


1.028 2 


4.299 3 


33 


28 


1 028 3 


4.294 1 


32 


29 


1028 3 


4.288 9 


31 


30 


1-028 4 


4.283 7 


30 


31 


1.028 5 


4,278 5 


29 


32 


1.028 6 


4.273 3 


28 


33 


1.028 6 


4.268 1 


27 


34 


1-028 7 


4.263 


26 


35 


1-028 8 


4.257 9 


25 


36 


1028 8 


4-252 7 


24 


37 


1-028 9 


4.247 6 


23 


38 


1.029 


4-242 5 


22 


39 


1.029 1 


4-237 5 


21 


40 


1.029 1 


4-232 4 


20 


41 


1-029 2 


4-227 3 


19 


42 


1-029 3 


4.222 3 


18 


43 


1.029 4 


4-217 3 


17 


44 


1.029 4 


4.212 2 


16 


45 


1029 5 


4-207 2 


15 


46 


1-029 6 


4-202 2 


14 


47 


1.029 7 


4-197 3 


13 


48 


1-029 7 


4-192 3 


12 


49 


1.029 8 


4-187 3 


11 


50 


1-029 9 


4.182 4 


10 


51 


1-029 9 


4-177 4 


9 


52 


1.030 


4.172 5 


8 


53 


10301 


4-167 6 


7 


54 


1.030 2 


4.162 7 


6 


55 


1.030 2 


4.157 8 


5 


56 


1-030 3 


4-152 9 


4 


57 


1.030 4 


4-1481 


3 


58 


1.030 5 


4-143 2 


2 


59 


1.030 5 


4-138 4 


1 


60 


1.030 6 


4.133 6 





r 




Sec. 



r 


Sec. 


Csc. 


/ 

60 





1-030 6 


4-133 6 


1 


1.030 7 


4.128 7 


59 


2 


1 -030 8 


4.123 9 


58 


3 


1.030 8 


4.119 1 


57 


4 


1-030 9 


4-114 4 


56 


5 


1.031 


4109 6 


55 


6 


1-031 1 


4104 8 


54 


7 


1-0311 


4-1001 


53 


8 


1.031 2 


4.095 4 


52 


9 


1-0313 


4.090 6 


51 


10 


1.031 4 


4.085 9 


50 


11 


1-031 4 


4-081 2 


49 


12 


1.031 5 


4-076 5 


48 


13 


1-031 6 


4.071 8 


47 


14 


1.031 7 


4.067 2 


46 


15 


1031 7 


4.062 5 


45 


16 


1-031 8 


4-057 9 


44 


17 


1.031 9 


4-053 2 


43 


18 


1.032 


4.048 6 


42 


19 


1.032 1 


4-044 


41 


20 


1.032 1 


4-039 4 


40 


21 


1-032 2 


4-034 8 


39 


22 


1032 3 


4-030 2 


38 


23 


1-0324 


4-025 6 


37 


24 


1-0324 


4.021 1 


36 


25 


1-032 5 


4.016 5 


35 


26 


1-032 6 


4.012 


34 


27 


11)32 7 


4-0075 


33 


28 


1032 7 


4-002 9 


32 


29 


1-032 8 


3.998 4 


31 


30 


1.032 9 


3.993 9 


30 


31 


1-033 


3.989 4 


29 


32 


1-033 1 


3-985 


28 


33 


1.033 1 


3-980 5 


27 


34 


1-033 2 


3.976 


26 


35 


1.033 3 


3-971 6 


25 


36 


1-033 4 


3-967 2 


24 


37 


1-033 4 


3.962 7 


23 


38 


1-033 5 


3.958 3 


22 


39 


1.033 6 


3.953 9 


21 


40 


1.033 7 


3-949 5 


20 


41 


1-033 8 


3.945 1 


19 


42 


1-033 8 


3.940 8 


18 


43 


1-033 9 


3.936 4 


17 


44 


1.034 


3.932 


16 


45 


1,034 1 


3-927 7 


15 


46 


1-034 2 


3-923 4 


14 


47 


1-034 2 


3.919 


13 


48 


1.034 3 


3.914 7 


12 


49 


1.034 4 


3-910 4 


11 


50 


1-034 5 


3.906 1 


10 


51 


1-034 6 


3-901 8 


9 


52 


1-034 6 


3.897 6 


8 


53 


1.034 7 


3.893 3 


7 


54 


1-034 8 


3.889 


6 


55 


1.034 9 


3.884 8 


5 


56 


1-035 


3-880 6 


4 


57 


1-035 8 


3-876 3 




58 


1-0351 


3.872 1 


2 


59 


1-035 2 


3.867 9 


1 


60 


1.035 3 


3-863 7 





r 


Csc. 


Sec. 



102° (282° 



(257°) 77° 



103 (283 ) 



(2 ') 76 



104" (284 ) 



118 



(255°) 75° 
(Continued) 



SP : 8 - 1970 



IS" (195°) 



TABLE 7B NfATURAL FUNCTIONS 
(344°) 164° le" (196") 



— SECANTS AND 
(343°) 163° 



COSECANTS — Contd 
17" (197") 



(342") 162" 



f 


Sec. 


CSC. 


/ 





1-0^5 3 


3.863 7 


60 


1 


1-035 4 


3.859 5 


59 


2 


1035 4 


3.855 3 


58 


3 


1035 5 


3.851 2 


57 


4 


1035 6 


3.847 


56 


5 


1.035 7 


3-842 8 


55 


6 


1035 8 


3-838 7 


54 


7 


1035 8 


3-834 6 


53 


8 


1035 9 


3-830 4 


52 


9 


1036 


3.826 3 


51 


10 


1036 1 


3-822 2 


50 


11 


1036 2 


3-818 1 


49 


12 


1036 3 


3-814 


48 


13 


1036 3 


3-810 


47 


14 


1036 4 


3-805 9 


46 


15 


1036 5 


3-801 8 


45 


16 


1036 6 


3.797 8 


44 


17 


1036 7 


3.793 7 


43 


18 


1036 7 


3-789 7 


42 


19 


1036 8 


3-785 7 


41 


29 


1036 9 


3.781 7 


40 


21 


1037 


3-777 7 


39 


22 


1037 1 


3.773 7 


38 


23 


1037 2 


3.769 7 


37 


24 


1037 2 


3,765 7 


36 


25 


1.037 3 


3.761 7 


35 


26 


1037 4 


3-757 7 


34 


27 


1037 5 


3-753 8 


33 


28 


1037 


3.749 8 


32 


29 


1037 4 


3.745 9 


31 


}0 


1-037 7 


3.742 


30 


31 


1-037 8 


3.738 1 


29 


32 


1037 9 


3.734 1 


28 


33 


1-038 


3.730 2 


27 


34 


1-038 1 


3.726 3 


26 


35 


1.038 2 


3.722 5 


25 


36 


1 038 2 


3-718 6 


24 


37 


1-038 3 


3-714 7 


23 


38- 


1038 4 


3-710 8 


22 


39 


1038 5 


3-707 


21 


40 


1 -038 6 


3-703 2 


20 


41 


1-038 7 


3-699 3 


19 


42 


1-038 8 


3.695 5 


18 


43 


1038 8 


3.691 7 


17 


44 


1-038 9 


3.687 9 


16 


45 


1-039 


3.684 


15 


46 


1-039 1 


3-680 3 


14 


47 


1.039 2 


3.676 5 


13 


48 


1-039 3 


3.672 7 


12 


49 


1039 4 


3.668 9 


11 


50 


1-039 4 


3-665 2 


10 


51 


1.039 5 


3.661 4 


9 


52 


1039 6 


3.657 6 


8 


53 


\-G39 7 


3.653 9 


7 


54 


1039 8 


3-650 2 


6 


55 


1-039 9 


3.646 5 


5 


56 


1040 


3.642 7 


4 


57 


1-040 


3.639 


3 


38 


1-0401 


3-635 3 


2 


39 


1-040 2 


3.631 6 


1 


60 


1-040 3 


3.628 





/ 


CSC. 


Sec. 


/ 



f 




Sec. 


Csc. 


r 

60 


1-040 3 


3'628 


1 


1040 4 


3.624 3 


59 


2 


1-0405 


3.620 6 


58 


3 


1040 6 


3.616 9 


57 


4 


1-040 6 


3.613 3 


56 


5 


1040 7 


3-609 7 


55 


6 


1-040 8 


3.606 


54 


7 


1040 9 


3-602 4 


53 


8 


1-0410 


3.598 8 


52 


9 


10411 


3.595 1 


51 


10 


10412 


3.591 5 


50 


11 


1-0413 


3-587 9 


49 


12 


1-0413 


3-584 3 


48 


13 


1-0414 


3.580 8 


47 


14 


1-0415 


3.577 2 


46 


15 


1-0416 


3-573 6 


45 


16 


1-0417 


3-570 


44 


17 


1-041 8 


3.566 5 


43 


18 


1-0419 


3-562 9 


42 


19 


1-042 


3-559 4 


41 


20 


1-0421 


355.5 


40 


21 


1-0421 


3.552 3 


39 


22 


1-042 2 


3.548 8 


38 


23 


1-042 3 


3-54S 3 


37 


24 


1042 4 


3-541 8 


36 


25 


1-042 5 


3-538 3 


35 


26 


1-042 


3-534 8 


34 


27 


1042 4 


3-5313 


33 


28 


1042 8 


3-527 9 


32 


29 


1042 9 


3-524 4 


31 


30 


1042 9 


3-520 9 


30 


31 


1.043 


3-517 5 


29 


32 


1-043 1 


3.514 


28 


33 


1043 2 


3.510 6 


27 


34 


1043 3 


3-507 2 


26 


35 


1.043 4 


3-503 7 


25 


36 


1-043 5 


3-500 3 


24 


37 


1-043 


3.496 9 


23 


38 


1043 4 


3.493 5 


22 


39 


1-043 8 


3-490 1 


21 


40 


1-043 9 


3-486 7 


20 


41 


1043 9 


3.483 3 


19 


42 


1-0440 


3.479 9 


18 


43 


1-0441 


3.476 6 


17 


44 


1044 2 


3.473 2 


16 


45 


1-044 3 


3-469 9 


15 


46 


Ia44 


3-466 5 


14 


47 


Ia44 5 


3.463 2 


13 


48 


1044 6 


3.459 8 


12 


49 


1-044 7 


3-456 5 


11 


50 


1-044 8 


3.453 2 


10 


51 


1-044 9 


3-449 9 




52 


1-045 


3446 5 


5 


53 


1-045 8 


3443 2 


7 


54 


1-04S 1 


3.439 9 


6 


55 


1045 2 


3.436 7 


5 


56 


1-045 3 


3.433 4 


4 


57 


1045 4 


3.430 1 


3 


58 


1-045 5 


3.426 8 


2 


59 


1045 6 


3.423 6 


1 


<bo 


1-045 7 


3.420 3 







CSC. 


Sec. 


/ 



t 


Sec. 


Csc. 







1-045 7 


3.420 3 


60 


1 


1045 8 


3.417 1 


59 


2 


1045 9 


3.413 8 


58 


3 


1046 


3-410 6 


57 


4 


1-046 1 


3-407 3 


56 


5 


1-046 2 


3.404 1 


55 


6 


1-046 3 


3-400 9 


54 


7 


1046 3 


3-397 7 


53 


8 


1-046 4 


3.394 5 


52 


9 


1046 5 


3.391 3 


51 


10 


1 -C-,6 6 


3,388 1 


50 


11 


1-046 7 


3-384 9 


49 


12 


1-046 8 


3-381 7 


48 


13 


1-046 9 


3.378 5 


47 


14 


1-047 


3.375 4 


46 


15 


1-047 1 


3.372 2 


45 


16 


1-047 2 


3.369 1 


44 


17 


1-047 3 


3.365 9 


43 


18 


1047 4 


3.362 8 


42 


19 


1.047 5 


3-359 6 


41 


!0 


1-047 6 


3.356 5 


40 


!1 


1-047 7 


3.353 4 


39 


!2 


1-047 8 


3-350 2 


38 


•3 


1-047 9 


3.347 1 


37 


!4 


1-048 


3.344 


36 


!5 


1048 


3.340 9 


35 


16 


1-0481 


3-337 8 


34 


17 


1-048 2 


3-334 7 


33 


;8 


1048 3 


3.331 7 


32 


19 


1-048 4 


3.328 6 


31 





1048 5 


3-325 5 


30 


1 


1048 6 


3.322 4 


29 


2 


1-048 7 


3.319 4 


28 


i3 


1-048 8 


3.316 3 


27 


'4 


1048 9 


3.313 3 


26 


15 


1.049 


3-310 2 


25 


6 


1.049 1 


3-307 2 


24 


7 


1-049 2 


3.304 2 


23 


\% 


1.049 3 


3-jOI 2 


22 


'9 


1.049 4 


3.298 1 


21 


40 


1045 5 


3-295 1 


20 


41 


1049 6 


3-292 1 


19 


42 


1049 7 


3-289 1 


18 


43 


1049 8 


3-286 1 


17 


44 


1049 9 


3-283 1 


16 


:5 


1.050 


3.280 1 


15 


6 


10501 


3.277 2 


1 + 


7 


1050 2 


3.274 2 


13 


•8 


1-050 3 


3-271 2 


12 


9 


1050 4 


3-268 3 


11 





1050 5 


3.265 3 


10 


1 


1050 6 


3.262 4 


9 


2 


1,050 7 


3.259 4 


8 
7 
6 

5 


3 


1.050 8 


3.256 5 


4 - 


1-050 9 


3.253 5 


55 


10510 


3-250 6 


56 


1-0511 


3.247 7 


4 


57 


10512 


3.244 8 


3 


58 


10513 


3-24! 9 


2 


59 


1-0514 


3.239 


1 





1051 5 


3.236 1 





Csc. 


Sec. 



35° (285'i 



(254°) 74" 



106" (286° 



(253") 73° 



107° (287°) 



119 



(252°; 72^ 
[ConlxmiCiV) 



SP : 8 - 1970 



18" (198") 



TABLE 



7B NATURAL 

(341") 161" 



FUNCTIONS .^. 

19" (199°) 



SECANTS AND 

(340") 160° 



COSECANTS —Cnnid 
20° (200°) 



(339") 159" 



' 


Sec. 


Csc. 


60 


G 


10515 


3.236 1 


1 


1.05r6 


3.233 2 


59 


2 


1-0517 


3.230 3 


58 


3 


1-051 8 


3.227 4 


57 


4 


1-0519 


3.224 5 


56 


5 


1-052 


3-221 7 


55 


6 


10521 


3-218 8 


54 


7 


1-052 2 


3-215 9 


53 


8 


1-052 3 


3.213 1 


52 


9 


1052 4 


3-210 2 


51 


10 


1-052 5 


3-207 4 


50 


It 


1052 6 


3-204 5 


49 


12 


1052 7 


3.201 7 


48 


13 


1052 8 


3.198 9 


47 


14 


1-052 9 


3.196 


46 


15 


1-053 


3.193 2 


45 


16 


1053 1 


3-190 4 


44 


17 


1053 2 


3-lS?6 


43 


18 


1-053 3 


3184 8 


42 


19 


1053 4 


3-182 


41 


20 


1-053 5 


3.179 2 


40 


21 


1053 6 


3.176 4 


39 


22 


1-053 7 


3-173 6 


38 


23 


1-053 8 


3-{TO)8 


37 


24 


1-053 9 


3168 1 


36 


25 


1.054 


3-165 3 


35 


26 


10541 


3.162 5 


34 


27 


1054 2 


3-159 8 


33 


28 


1-054 3 


3157 


32 


29 


1054 4 


3-154 3 


31 


30 


1-054 5 


3-1515 


30 


31 


1-054 6 


3.148 8 


29 


32 


1-054 7 


3.146 1 


28 


33 


1.054 8 


3-143 3 


27 


34 


1-054 9 


3.140 6 


26 


35 


1055 


3-137 


25 


36 


10551 


3135 4 


24 


37 


1-055 2 


3.132 5 


23 


38 


1055 3 


3129 8 


22 


39 


1055 4 


3-127 1 


21 


40 


1-055 5 


3-124 4 


20 




1-055 6 


31217 


19 


4: 


1055 7 


3.119 


18 


43 


1 053 8 


3.116 3 


17 


44 


1-055 9 


3.113 7 


16 


45 


1-356 


31110 


15 


46 


1.056 1 


3108 3 


14 


47 


1056 3 


3 105 7 


13 


48 


1056 4 


3103 


12 


49 


1-056 5 


3.100 4 


11 


50 


1-056 6 


3-097 7 


10 


51 


1-056 7 


3-095 1 


9 


52 


1.056 8 


3-092 5 


8 


53 


1056 9 


3 089 8 


7 


54 


1-057 


3 087 2 


6 


55 


1057 1 


3.084 6 


5 


56 


1-057 2 


3.082 


4 


57 


1-057 3 


3-079 4 


3 


58 


1057 4 


3-076 8 


2 


59 


1-057 5 


3 074 2 


1 


60 


1-057 6 


3.071 6 





CSC. 




' 



f 


Sec. 


Csc. 


60 





.1-057 6 


3.071 6 


1 


1057 7 


3.069 


59 


2 


1-057 8 


3.066 4 


58 


3 


1-057 9 


3.063 8 


57 


4 


1-058 


3.061 2 


56 


5 


1-058 2 


3-058 6 


55 


6 


1-058 3 


3-056 1 


54 


7 


1-058 4 


3.053 5 


53 


8 


1-058 5 


3.050 9 


52 


9 


1-058 6 


3-048 4 


51 


10 


1-058 7 


3 045 8 


50 


11 


1-058 8 


3-043 3 


49 


12 


1-058 9 


3.040 7 


48 


13 


1-059 


3.038 2 


47 


14 


1-059 1 


3-035 7 


46 


15 


1059 2 


3-033 1 


45 


16 


1-059 3 


3-030 6 


44 


17 


1059 4 


3-028 1 


43 


18 


1-059 5 


3-025 6 


42 


19 


1059 7 


3-023 1 


41 


20 


1-059 8 


3-020 6 


40 


21 


1.059 9 


3-018 1 


39 


22 


1060 


3-015 6 


38 


23 


10601 


3013 1 


37 


24 


1-060 2 


3-010 6 


36 


25 


1-060 3 


3-008 1 


35 


26 


1060 4 


3.005 6 


34 


27 


1060 5 


3.003 1 


33 


28 


1-060 6 


3-000 7 


32 


29 


1060 7 


2.998 2 


31 


30 


1-060 8 


2-995 7 


30 


31 


1-0610 


2-993 3 


29 


32 


1-0611 


2-990 8 


28 


33 


10612 


2-988 4 


27 


34 


10613 


2-985 9 


26 


35 


1.061 4 


2.983 5 


25 


36 


10615 


2.981 1 


24 


37 


1-0616 


2.978 6 


23 


38 


1-0617 


2.976 2 


22 


39 


1-0618 


2.973 8 


21 


40 


1-0619 


2-971 3 


20 


41 


1-0621 


2.968 9 


19 


42 


1-062 2 


2-966 5 


18 


43 


1062 3 


2.964 1 


17 


44 


1062 4 


2.961 7 


16 


45 


1062 5 


2,959 3 


15 


46 


1062 6 


2.956 9 


14 


47 


1062 7 


2.954 5 


13 


48 


1062 8 


2-952 1 


12 


49 


1-062 9 


2.949 8 


11 


50 


1063 1 


2-947 4 


10 


51 


1063 2 


2-945 


9 


52 


1-063 3 


2-942 6 


8 


53 


1-063 4 


2-940 3 


7 


54 


1063 5 


2.937 9 


6 


55 


1-063 6 


2.935 5 


5 


56 


1-063 7 


2.933 2 


4 


57 


1-063 8 


2.930 8 


3 


58 


1064 


2.928 5 


2 


59 


1064 3 


2.926 1 


1 


60 


1-064 2 


2,923 8 





Csc. 







f 


Sec. 


Csc. 







1064 2 


2-923 8 


60 


1 


1-064 3 


2-921 5 


59 


2 


1-064 4 


2-919 1 


58 


3 


1-064 5 


2-916 8 


57 


4 


1-064 6 


2-914 5 


56 


5 


1064 7 


2-912 2 


55 


6 


1064 9 


2-909 9 


54 


7 


1-065 


2-907 5 


S3 


8 


1065 1 


2-905 2 


52 


9 


1-065 2 


2-902 9 


51 


10 


1-065 3 


2-9006 


50 


11 


Ia65 4 


2-898 3 


49 


12 


1065 5 


2-896 


48 


13 


1-065 7 


2'893 8 


47 


14 


1-065 8 


2.891 5 


46 


15 


1-065 9 


2.880 2 


45 


16 


1066 


2-886 9 


44 


17 


1066 1 


2-884 6 


43 


18 


1-066 2 


2-882 4 


42 


19 


1-066 3 


2-880 1 


41 


20 


1-066 5 


2.877 9 


40 


21 


1-066 6 


2-875 6 


39 


22 


1-066 7 


2.873 3 


38 


23 


1-066 8 


2.871 1 


37 


24 


1-066 9 


2.868 8 


36 


25 


1-067 


2-866 6 


35 


26 


1-067 1 


2-864 4 


34 


27 


1.067 3 


2-862 1 


33 


28 


1067 4 


2-859 9 


32 


29 


1067 5 


2-857 7 


31 


30 


1-067 6 


2.855 5 


30 


31 


1-067 7 


2.853 2 


29 


32 


1067 8 


2-851 


28 


33 


1-068 


2-848 8 


27 


34 


1-068 1 


2.846 6 


26 


35 


1-068 2 


2-844 4 


25 


36 


1-068 3 


2.842 2 


24 


37 


1-068 4 


2.840 


23 


38 


1-068 5 


2.837 8 


22 


39 


1-068 7 


2.835 6 


21 


40 


1068 8 


2-833 4 


20 


41 


1-068 9 


2-831 2 


19 


42 


1.069 


2-829 1 


18 


43 


1-0691 


2.826 9 


17 


44 


1069 2 


2.824 7 


16 


45 


1069 4 


2.822 5 


15 


46 


1-069 5 


2.820 4 


14 


47 


1069 6 


2-818 2 


13 


48 


1069 7 


2-816 1 


12 


49 


1069 8 


2.813 9 


11 


50 


1.070 


2.811 7 


10 


51 


1-0701 


2,809 6 


9 


52 


1070 2 


2-807 5 


8 


53 


1-070 3 


2.805 3 


7 


54 


1.070 4 


2-803 2 


6 


55 


1070 5 


2-801 


5 


56 


1.070 7 


2.798 9 


4 


57 


1070 8 


2.796 8 


3 


58 


1-070 9 


2-794 7 


2 


59 


1-0710 


2.792 5 


1 


60 


1-071 1 


2.790 4 





Csc. 


Sec. 













lOP" (2818") 



(251°) 711'= 



109° (289") 



(250°) 70' 



110" 90°) 



120 



(249°) 69° 
(Continued) 



SP : 8 - 1970 



TABL E 7B NATURAL FUNCTIONS ~~ SECANTS AND COSECANTS • 

31° (201°) (338°) 198° 22° (202°) (33^157' 23" (203°) 



■ Conid 



(336°) 156" 



/ 


S«c. 


CSC, 







10711 


2-7904 


60 


1 


1071 3 


2-788 3 


59 


2 


10714 


2-786 2 


58 


3 


10715 


2-7841 


57 


4 


1-071 6 


2-782 


56 


5 


10717 


2-779 9 


55 


6 


10719 


2-777 8 


54 


7 


1072 


2.775 7 


53 


8 


10721 


2-773 6 


52 


9 


1072 2 


2-771 5 


51 


10 


1072 3 


2.769 5 


50 


11 


1072 5 


2-767 4 


49 


12 


1072 6 


2.765 3 


48 


13 


10727 


2-763 2 


47 


14 


1072 8 


2-761 2 


46 


15 


1073 


2.759 1 


45 


16 


1073 1 


2-757 


44 


17 


1073 2 


2-755 


43 


18 


1073 3 


2-752 9 


42 


19 


1073 4 


2-750 9 


41 


20 


1073 6 


2.748 8 


40 


21 


1-073 7 


2-746 8 


39 


22 


1073 8 


2-744 7 


38 


23 


10739 


2-742 7 


37 


24 


1-074 


2.740 7 


36 


25 


1074 2 


2-738 6 


35 


26 


1074 3 


2-736 6 


34 


27 


1-074 4 


2-734 6 


33 


28 


1-0745 


2-732 5 


32 


29 


1-074 7 


2-730 5 


31 


30 


1-074 8 


2.728 5 


30 


31 


1-074 9 


2-726 5 


29 


32 


107S0 


2.724 5 


28 


33 


1075 2 


2-722 5 


27 


34 


1-075 3 


2-720 5 


26 


35 


1-0754 


2-718 5 


25 


36 


1-075 5 


2-716 5 


24 


37 


1075 7 


2-714 5 


23 


38 


1-075 8 


2-712 5 


22 


39 


1-075 9 


2-710 5 


21 


40 


1076 


2.708 5 


20 


41 


1-0761 


2-706 5 


19 


42 


1-076 3 


2-704 6 


18 


43 


1-076 4 


2-702 6 


17 


44 


1076 5 


2.700 6 


16 


45 


1076 6 


2-698 6 


15 


46 


1076 8 


2.696 7 


14 


47 


1076 9 


2694 7 


13 


48 


1-077 


2-692 7 


12 


49 


1077 1 


2-690 8 


11 


50 


1-077 3 


2-688 S 


10 


51 


1-077 4 


2-686 9 


9 


52 


1-077 5 


2-684 9 


8 


53 


1077 7 


2-683 


7 


54 


1-077 8 


2-681 1 


6 


55 


1077 9 


2.679 1 


5 


56 


1-078 


2-677 2 


4 


57 


1-078 2 


2-675 2 


3 


58 


1078 3 


2.673 3 


2 


59 


1-078 4 


26714 


1 


60 


1-078 5 


2.669 5 





Csc. 


Sec. 





' 


Sec. 


Csc. 


/ 





1-078 5 


2-669 5 


60 


1 


1-078 7 


2-667 5 


59 


2 


1-078 8 


2.665 6 


58 


3 


1-078 9 


2-663 7 


57 


4 


1079 


2-661 8 


56 


5 


1-079 2 


2-659 9 


55 


6 


1-079 3 


2.658 


54 


7 


1-079 4 


2.656 1 


53 


8 


1-079 6 


2.654 2 


52 


9 


1-079 7 


2.652 3 


51 


10 


1079 8 


2-6504 


50 


11 


1-079 9 


2-648 5 


49 


12 


10801 


2-646 6 


48 


13 


1080 2 


2-644 7 


47 


14 


1-080 3 


2-642 9 


46 


15 


1080 4 


2-6410 


45 


16 


1-080 


2-639 1 


44 


17 


1080 4 


2-637 2 


43 


18 


1-080 8 


2-635 4 


42 


19 


1-081 


2-633 5 


41 


20 


1-081 1 


2.631 6 


40 


21 


1-081 2 


2.629 8 


39 


22 


1-081 4 


2-627 9 


38 


23 


1-0815 


2.626 


37 


24 


1-081 6 


2.624 2 


36 


.25 


1-081 7 


2.622 3 


35 


26 


10819 


2.620 5 


34 


27 


1-082 


2-618 6 


33 


28 


1-082 1 


2-616 8 


32 


29 


1-082 3 


2.615 


31 


30 


1-082 4 


2.613 1 


30 


31 


1-082 5 


2-611 3 


29 


32 


1-082 7 


2-609 5 


28 


33 


1-0S28 


2.607 6 


27 


34 


1082 9 


2.605 8 


26 


35 


1083 


2.6040 


25 


36 


1-083 2 


2.602 2 


24 


37 


1-083 3 


2-600 3 


23 


38 


1083 4 


2-598 5 


22 


39 


1-083 6 


2.596 7 


21 


40 


1-083 7 


2-594 9 


20 


41 


1-083 8 


2-593 1 


19 


42 


1-084 


2-591 3 


18 


43 


1-084 1 


2589 5 


17 


44 


1-084 2 


25877 


16 


45 


1-084 4 


2585 9 


15 


46 


1-08+5 


2-584 1 


14 


47 


1084 6 


2.582 3 


13 


48 


1084 8 


2-580 5 


12 


49 


1084 9 


2.578 8 


11 


50 


1-085 


2-577 


10 


51 


1-085 2 


2-575 2 


9 


52 


1-085 3 


2.573 4 


8 


S3 


1-085 4 


2-571 6 


7 


54 


1-085 6 


2.569 { 


6 


55 


1-085 7 


2568 1 


5 


56 


1-085 8 


2566 3 


4 


57 


1086 


2.564 6 


3 


58 


1-086 1 


2.562 8 


2 


59 


1-086 2 


2-561 1 


1 


Mt 


1-086 4 


2559 3 





Csc. 


Sec. 


f 






Sec. 


Csc. 


60 


1086 4 


2.559 3 


1 


1-086 5 


2-557 6 


59 


2 


1-086 6 


2-555 8 


58 


3 


1-086 8 


2554 1 


57 


4 


1086 9 


25523 


56 


5 


1-087 2 


^■noWSO ( 


55 


6 


1-087 3 


imm !i 


54 


7 


-08/ 




53 


8 


1 -087 4 


2-545 4 


52 


9 


1-087 6 


2.543 6 


51 


10 


1-087 7 


2-541 9 


50 


11 


1087 8 


2-540 2 


49 


12 


1088 


2-538 


48 


13 


1-0881 


2-S36 3 


47 


14 


1-088 3 


2-535 


46 


15 


1-088 4 


2.533 2 


45 


16 


1088 5 


2.531 6 


44 


17 


1-0887 


2-529 9 


43 


18 


1-088 8 


2-528 


42 


19 


1088 9 


2-526 3 


41 


20 


1089 1 


2-524 7 


40 


21 


1089 2 


2-523 


39 


22 


1089 3 


2-521 3 


38 


23 


10S*5 


2-519 6 


37 


24 


1-089 6 


2-518 


36 


25 


1089 8 


2-516 3 


35 


26 


1-0899 


2-514 6 


34 


27 


1-090 


2-5129 


33 


28 


1-090 4 


2-511 2 


32 


29 


1-090 3 


2-509 5 


31 


30 


1090 4 


2-507 8 


30 


31 


1-090 6 


2.506 2 


29 


32 


1-090 7 


2.504 5 


28 


33 


1090 9 


2-502 8 


27 


34 


1-0910 


2-501 2 


26 


35 


1-0911 


2-499 5 


25 


36 


1-0913 


2-497 8 


24 


37 


1-0914 


2-496 2 


23 


38 


10915 


2-494 5 


22 


39 


1-0917 


2-492 8 


21 


40 


1-0918 


2-491 2 


20 


41 


1-092 


2-489 5 


19 


42 


1-0921 


2-487 9 


18 


43 


1-092 2 


2-486 2 


17 


44 


1-092 4 


2-484 6 


16 


45 


1-092 5 


2-483 


15 


46 


1-092 7 


2-481 3 


14 


47 


1-092 8 


2.479 7 


13 


48 


1-092 9 


2478 


12 


49 


1-093 1 


2.4764 


11 


150 


1-093 2 


2.474 8 


10 


i51 


1-093 4 




9 


■!52 


1093 5 


Z478 3 


8 


;53 


1-093 6 


2-4695 


7 


;54 


1-093 8 


2.468 3 


6 


i>5 


1-093 9 


2.466 7 


5 


;56 


1-0941 


2-465 


4 


;57 


1094 2 


2-463 4 


3 


:>8 


1-094 4 


2.461 8 


2 


;>9 


1-094 5 


2-460 2 


1 


<50 

1 


1-094 6 


2-458 6 





csc. 


Sec. 


/ 



111' (291°) 



(248") 68" 



112° (292") 



(247 °) 67° 



11:3" (293") 



121 



(246°) 66 
{Continued) 



SP : 8 - 1970 



TABLE 7B NATURAL FUNCTIONS ~~ SECANTS AND COSECANTS —Cnntd 

(335°) 155° 25° (205°) (334°) 154" 26° (206") (333") 153° 



24" (204°) 





Sec. 


Csc. 


f 





J -1)94 6 


2.458 6 


>0 


1 


1094 8 


2-457 


9 


2 


10949 


2-455 4 


18 


3 


1095 1 


2-453 8 


17 


4 


1095 2 


2.452 2 


16 


5 


1095 3 


2.450 6 


i5 


6 


1095 5 


2449 


14 


7 


1095 6 


2-447 4 


13 


8 


1095 8 


2-445 8 


12 


9 


1-095 9 


2444 2 


il 


10 


1-0961 


2442 6 


>0 


11 


1 096 2 


2.441 1 


t9 


12 


1 -096 3 


2.439 5 


\Z 


13 


1096 5 


2.437 9 


M 


14 


1096 6 


2.436 3 


^6 


15 


1-095 8 


2.434 8 


15 


16 


1-096 9 


2-433 2 


W 


17 


1-097 1 


2-431 6 


\Z 


18 


1-097 2 


2-430 


\1 


19 


1-097 4 


2.428 5 


\\ 


20 


1097 5 


2-426 9 


LO 


21 


10976 


2-425 4 


>9 


22 


1-097 8 


2.423 8 


)8 


23 


1.097 9 


2.422 2 


i7 


24 


1-0981 


2-420 7 


36 


25 


1-098 2 


2.419 1 


(5 


26 


1-098 4 


2.417 6 


!4 


27 


1-098 5 


2.416 


53 


28 


1-098 7 


2.414 5 


J2 


29 


1-098 8 


2.413 


Jl 


30 


1098 9 


2-411 4 


JO 


31 


1-0991 


2-409 9 


29 


32 


1099 2 


2-408 3 


28 


33 


10994 


2-406 8 


27 


34 


1.099 5 


2-405 3 


26 


35 


1-099 7 


2.403 8 


25 


36 


1099 8 


2-402 2 


24 


37 


1-100 


2-400 7 


23 


38 


1-1001 


2-399 2 


22 


39 


1-100 3 


2-397 7 


21 


40 


1-100 4 


2-396 1 


20 


41 


1-100 6 


2-394 6 


19 


42 


1-100 7 


2-393 1 


18 


43 


M009 


2-391 6 


17 


44 


1.101 


2-390 1 


16 


45 


1-101 1 


2.388 6 


15 


46 


1-1013 


2,387 1 


14 


47 


1-1014 


2-385 6 


13 


48 


1-1016 


23841 


12 


49 


J-101 7 


2,382 6 


11 


50 


1-1019 


2-381 1 


10 


51 


1-102 


2-379 6 


9 


52 


1.1022 


2-378 1 


8 


53 


1-102 3 


2-376 6 


7 


54 


1-102 5 


2-375 1 


6 


55 


1-102 6 


2-373 6 


5 


56 


1-102 8 


2-372 1 


4 


57 


1-102 9 


2-370 6 


3 


58 


1-1031 


2-369 2 


2 


59 


1.103 2 


2.367 7 


1 


60 


1-103 4 


2-366 2 




/ 


CSC. 


Sec. 


114° 


294°) 


(24 


5°) 65' 






Sec. 


Csc. 


1 


1-103 4 


2-366 2 


60 


1 


1-103 5 


2-364 7 


59 


2 


1-103 7 


2-363 3 


58 


3 


1-103 8 


2-361 8 


57 


4 


1-104 


2-360 3 


56 


5 


1-1041 


2-358 8 


55 


6 


1-1043 


2.357 4 


54 


7 


1-1044 


2-355 9 


S3 


8 


1-104 6 


2-354 5 


52 


9 


M04 7 


2-353 


51 


10 


1-1049 


2.351 5 


50 


11 


1-lOSO 


2-350 1 


49 


12 


1-105 2 


2.348 6 


48 


13 


1105 3 


2.347 2 


47 


14 


1-105 5 


2.345 7 


46 


15 


1-105 6 


2.344 3 


45 


16 


1-105 8 


2.342 8 


44 


17 


1-105 9 


2.341 4 


43 


18 


1-1061 


2.340 


42 


19 


1-106 2 


2.338 5 


41 


20 


1-106 4 


2.337 1 


40 


21 


1-106 6 


2-335 6 


39 


22 


1-106 7 


2-334 2 


38 


23 


1-106 9 


2.332 8 


37 


24 


1-107 


2.331 4 


36 


25 


1-107 2 


2-329 9 


35 


26 


1-107 3 


2-328 5 


34 


27 


1-107 5 


2-327 1 


33 


28 


1-107 6 


2-325 7 


32 


29 


1-107 8 


2-324 2 


31 


30 


1-107 9 


2-322 8 


30 


31 


1-108 1 


2-321 4 


29 


32 


1-108 2 


2.320 


28 


33 


1-108 4 


2.318 6 


27 


34 


1-108 5 


2.317 2 


26 


35 


1-108 7 


2-315 8 


25 


36 


1-108 9 


2.314 4 


24 


37 


1-109 


2-313 


23 


38 


1109 2 


2-3115 


22 


39 


1109 3 


2.310 1 


21 


40 


1-109 5 


2-308 8 


20 


41 


1.109 6 


2-307 4 


19 


42 


1-109 8 


2-306 


18 


43 


1-109 9 


2-304 6 


17 


44 


1-1101 


2-303 2 


16 


45 


1-1102 


2.301 8 


15 


46 


1-1104 


2-300 4 


14 


47 


1-1106 


2.299 


13 


48 


1-1107 


2.297 6 


12 


49 


1-1109 


2.296 2 


11- 


50 


1-1110 


2,294 9 


10 


51 


1.1112 


2.293 5 


9 


52 


1-1113 


2-292 1 


8 


53 


1-1115 


2-290 7 


7 


54 


Mil 7 


2-289 4 


6 


55 


1-1118 


2.288 


5 


56 


1-1120 


2.286 6 


4 


57 


11121 


2.285 3 


3 


58 


1-1123 


2-283 9 


2 


59 


1.1124 


2-282 5 


1 


60 

/ 


1-1126 


2-281 2 





Csc. 


Sec. 


r 






Sec. 


Csc. 


f 


1-1126 


2-281 2 


60 


1 


1-1128 


2-279 8 


59 


2 


1-1129 


2-278 5 


58 


3 


1-113 1 


2-277 1 


57 


4 


1-1132 


2-275 7 


56 


5 


1-1134 


2-274 4 


55 


6 


1-113 


2-273 


54 


7 


1-1134 


2-271 7 


53 


8 


1-1139 


2-270 3 


52 


9 


1-1140 


-2.269 


51 


10 


1-1142 


2.2677 


50 


11 


1-114 3 


2-266 3 


1 9 


12 


1.114 5 


2-265 


48 


13 


1-1147 


2.263 6 


47 


14 


1-1148 


2.262 3 


46 


15 


1-115 


2.261 


45 


16 


1-1151 


2-259 6 


44 


17 


1-1153 


2-258 3 


43 


18 


1-J155 


2.257 


42 


19 


1-1156 


2.255 6 


41 


20 


-1-1158 


2.2543 


40 


21 


1-1159 


2.253 


39 


22 


11161 


2-251 7 


38 


23 


11163 


2-250 4 


37 


24 


1-1164 


2.249 


36 


25 


M166 


2.247 7 


35 


26 


1-116 8 


2-246 4 


34 


27 


11169 


2.245 1 


33 


28 


1-1171 


2-243 8 


32 


29 


1-1172 


2-242 5 


31 


30 


1-1174 


2-241 2 


30 


31 


1-1176 


2-239 9 


29 


32 


11177 


2-238 5 


28 


33 


1-1179 


2.237 2 


27 


34 


1-118 


2.235 9 


26 


35 


1-1182 


2.234 6 


25 


36 


1-1184 


2.233 3 


24 


37 


1-118 6 


2-232 


23 


38 


1-1187 


2-230 8 


22 


39 


1-1189 


2.229 5 


21 


40 


1-1190 


2.228 2 


20 


41 


1-1192 


2-226 9 


19 


42 


1-1194^ 


2-225 6 


18 


43 


1-1195 


2.224 3 


17 


44 


11197 


2.223 


16 


45 


1-1198 


2.221 7 


15 


46 


1-1200 


2.220 5 


14 


47 


1-120 2 


2.2192 


13 


48 


1-120 3 


2.217 9 


12 


49 


1-120 5 


2.216 6 


11 


50 


1-120 7 


2-215 3 


LO 


51 


1-120 8 


2-214 : 


9 


52 


1-1210 


2-212 8 


8 


53 


1-1212 


2-211 5 


7 


54 


11213 


2-210 3 


6 


55 


1.121 5 


2-209 


5 


56 


1-121 7 


2--? 7 


4 


57 


; 1-121 8 


2-206 5 


1 3 


58 


1-12Z0 


2-205 2 


2 


59 


1122 2 


2-203 9 


1 


60 


1-122 3 


1 Sec. 


1 

r 


' 


csc. 



115" (295° 



(244") 64° 



116° (296°) 



122 



(243") 63° 

(Continued) 



SP : 8 - 1970 



27° (207°) 



TABLE 7B NATURAL FUNCTIONS 
(332") 152° 28" (208°) 



■ SECANTS AND 
(331°) 151° 



COSECANTS —Conid 
29" (209°) 



(330°) 150° 



' 


Sec. 


Csc. 


/ 


Q 


1.122 3 


2-202 7 


60 


1 


1-122 5 


2.201 4 


59 


2 




2-200 2 


58 


3 


1.112778 


2-198 9 


57 


4 


1.123 


2-197 7 


56 


5 


1123 2 


2.196 4 


55 


6 


1-123 3 


2.195 2 


54 


7 


1.123 5 


2.193 9 


53 


8 


1.123 7 


2.192 7 


52 


9 


1.123 8 


2.191 4 


51 


10 


1-124 




50 


11 


1-124 2 


mim n 


49 


12 




2-187 7 


48 


13 


1-124 5 


2-186 5 


47 


14 


1-124 7 


2.185 2 


46 


15 


1.124 8 


2.184 


45 


16 


1.125 


2.182 8 


44 


17 


1.125 2 


2.181 5 


43 


18 


M25 3 


2-180 3 


42 


19 


1.125 5 


2.179 1 


41 


20 


1.125 7 


2.177 9 


40 


21 


1.125 9 


2.176 6 


39 


22 


1.126 


2.175 4 


38 


23 


1.126 2 


2.174 2 


37 


24 


1-126 4 


2.173 


36 


25 




2-171 8 


35 


26 


1.I2S3 


2-170 5 


34 


27 




2-169 3 


33 


28 


1-127 


2-168 1 


32 


29 


1-127 2 


2-166 9 


31 


30 


1-127 4 




30 


31 


M27 6 


mimii 


29 


32 


1-127 7 


2-163 3 


28 


33 


1-127 9 


2-162 1 


27 


34 


1.128 1 


2.160 9 


26 


35 


1.128 2 


2.159 6 


25 


36 


1-128 4 


2-158 4 


24 


37 


1-128 6 


2.157 2 


23 


38 


1.128 8 


2.156 


22 


39 


1-128 9 


2.154 9 


21 


40 




2-153 7 


20 


41 


1.129 I 


2-152 5 


19 


42 




2-151 3 


18 


43 


1-129 6 


2-150-1 


17 


44 


1-129 8 


2.148 9 


16 


45 


M30O 


2.147 7 


15 


46 




2-146 5 


14 


47 


1-130 5 


2-145 3 


13 


48 


1-130 7 


11« UBll 


12 


49 






U 


50 


1.130 8 


2.141 8 


10 


51 


1-1310 


2.140 6 


9 


52 


1-1312 




8 


53 


1-1313 


2.139 2.131 U 


7 


54 


1-1315 


2.137 1 


6 


55 


1-1317 


2-135 9 


5 


56 


1-1319 


2-134 7 


4 


57 


1-1320 




3 


58 


1-1322 


2.133 2.132 it 


2 


59 


1.132 4 


2-131 2 


1 


60 


1.1326 


2.130 1 







Csc. 


Sec. 


/ 






Sec. 


Csc. 


/ 


1-132 6 


2-430 1 


60 


1 


1132 7 


2-128 9 


59 


2 


1-132 9 


2.127 7 


58 


3 


1-133 1 


2.126 6 


57 


4 


1-133 3 


2.125 4 


56 


5 


1.133 4 


2-124 2 


55 


6 


1.133 6 


2-123 1 


54 


7 


1-133 8 


2-121 9 


53 


8 


1-1340 


2-120 8 


52 


9 


1-134 2 


2.119 6 


51 


LO 


1.134 3 


2.118 5 


50 


11 


1.134 5 


2.117 3 


49 


12 


1.134 7 


2.116 2 


48 


13 


1.134 9 


2.115 


47 


14 


1.135 


2.113 9 


46 


15 


1135 2 


2.112 7 


45 


16 


1-135 4 


2.111 6 


44 


17 


1-135 6 


2-110 5 


43 


18 


1-135 7 


2-J09 3 


42 


19 


1-135 9 


2-108 2 


41 


20 


1.136 1 


2-107 


40 


21 


1136 3 


2-105 9 


39 


22 


1-136 5 


2-104 8 


38 


23 


1136 6 


2-103 6 


37 


24 


1-136 8 


2-102 5 


36 


25 


1.137 


2-101 4 


35 


26 


1-137 2 


2-100 2 


34 


27 


1-137 4 


2.099 1 


33 


28 


1-137 5 


2-098 


32 


29 


1.137 7 


2-096 9 


31 


30 


1.137 9 


2.095 7 


30 


31 


1.138 1 


2.094 6 


29 


32 


1.138 3 


2-093 5 


28 


33 


1.138 4 


2.092 4 


27 


34 


1138 6 


2.091 3 


26 


35 


1.138 8 


2.090 1 


25 


36 


1-139 


2-089 


24 


37 


1.139 2 


2-087 9 


23 


38 


1-1393 


2-086^ 


22 


39 


1-1395 


2-085 7 


21 


40 


1.139 7 


2 084 6 


20 


41 


1-139 9 


2-083 5 


19 


42 


1-1401 


2.082 4 


18 


43 


1-140 2 


2081 3 


17 


44 


1-140 4 


2.080 2 


16 


45 


1-140 6 


2.079 i 


15 


46 


1-140 8 


2.077 9 


14 


47 


1-1410 


2076 8 


13 


48 


1-1412 


2-075 7 


12 


49 


1-1413 


2-074 7 


11 


50 


1-1415 


2-073 6 


10 


51 


1.141 7 


2.072 5 


9 


52 


1.1419 


2.071 4 


8 


53 


1.142 1 


2.070 3 


7 


54 


1142 3 


2069 2 


6 


55 


1.142 4 


2-068 1 


5 


56 


M42 6 


2.067 


4 


57 


1.142 8 


2-065 9 


3 


58 


1-143 


2064 8 


2 


59 


1-143 2 


2.063 7 


1 


60 


1.143 4 


2.062 7 





' 


CSC 


Sec. 





lir (297°) 



(242') 63» 118° (298") 





Sec. 


Csc. 


' 





1-143 4 


2.062 7 


60 


1 


1-143 5 


2.061 6 


59 


2 


1-143 7 


2.060 5 


58 


3 


1-143 9 


2-0.S9 4 


57 


4 


1-1441 


2-058 3 


56 


5 


1-144 3 


2-057 3 


55 


6 


1.144 5 


2-056 2 


54 


7 


1-144 6 


2055 1 


53 


8 


1.144 8 


2.054 


52 


9 


1-145 


2.053 


51 


10 


1-145 2 


2-OSl 9 


50 


11 


1-145 4 


2-050 8 


49 


12 


1-145 6 


2-049 8 


48 


13 


1-145 8 


2-048 7 


47 


14 


1.146 


2-047 6 


46 


15 


1.146 1 


2-046 6 


45 


16 


1.146 3 


2-045 5 


44 


17 


1.146 5 


2-044 5 


43 


18 


1-146 7 


2-043 4 


42 


19 


1.146 9 


2-042 3 


41 


20 


1147 1 


2-0413 


40 


21 


1.147 3 


2-040 2 


39 


22 


1.147 4 


2-039 2 


38 


23 


1-147 6 


2QS& 1 


37 


24 


1-147 8 


2037 1 


36 


25 


1-148 


2.036 


35 


26 


1-148 2 


2-035 


34 


27 


1-1484 


2-033 9 


33 


28 


1.148 6 


2.032 9 


32 


29 


1.148 8 


2.031 8 


31 


30 


1.149 


2-030 8 


30 


31 


1-1491 


2.029 7 


29 


32 


1.149 3 


2.028 7 


28 


33 


1.149 5 


2.027 6 


27 


34 


1.149 7 


2.026 6 


26 


35 


1-149 9 


2-025 6 


25 


36 


1-1501 


2-024 5 


24 


37 


1-150 3 


2-023 5 


23 


38 


1-150 5 


2.022 5 


22 


39 


1-150 7 


2.0214 


21 


40 


1-150 9 


2020 4 


20 


41 


M510 


2-019 4 


19 


42 


1-1512 


2-018 3 


18 


43 


1.151 4 


2017 3 


17 


44 


1-1516 


2-016 3 


16 


45 


1-1518 


2015 2 


15 


46 


1.152 


2-014 2 


14 


47 


1152 2 


2.013 2 


13 


48 


1.152 4 


2012 2 


12 


43 


1.152 6 


2.011 2 


11 


50 


1.152 8 


2.010 1 


10 


51 


1-153 


2-009 1 


9 


52 


1.153 2 


2-008 1 


8 


53 


1.153 3 


2-007 1 


7 


54 


1-153 5 


2-0061 


6 


55 


1-153 7 


2-005 1 


5 


56 


1-153 9 


2-004 


4 


57 


1.154 1 


2.003 


3 


58 


1-154 3 


2.002 


2 


59 


1-154 5 


2-0010 


1 


60 


1.154 7 


2.000 







Sec. 



(24 ) 6] 119° (299°) 



123 



(340°) 60° 
(Contintted) 



SP:8.1970 



30° (210°) 



TABLE 7B NATURAL FTJNCTIONS — 

(329°) 149" 31° (211°) 



SECAriTS AND 
(328°) 148° 



COSECAm'S —Contd 



f 


Sec. 


Csc. 


f 

60 





1154 7 


2-000 


1 


1154 9 


1-999 


59 


2 


M55 1 


1-998 


58 


3 


1155 3 


1.997 


57 


4 


M55 5 


1-996 


56 


5 


1155 7 


1-995 


55 


6 


1155 9 


1994 


54 


7 


MS6 1 


1-993 


53 


8 


1156 3 


1-992 8 


52 


9 


1156 5 


1-991 


51 


10 


1156 6 


1-990 


50 


11 


1156 8 


1-989 


49 


12 


1157 


1-9880 


48 


13 


1-157 2 


1-987 


47 


14 


1157 4 


1-986 


46 


15 


1157 6 


1-985 


45 


16 


1157 8 


1-9840 


44 


17 


1158 


1-983 


43 


18 


1158 2 


1-9821 


42 


19 


1158 4 


1-981 1 


41 


20 


M58 6 


1980 1 


40 


21 


1158 8 


1-979 1 


39 


22 


1159 


1-978 1 


38 


23 


1159 2 


1-977 1 


37 


24 


1159 4 


1-976 2 


36 


25 


11 59 6 


1-975 2 


35 




1-159 8 


1-974 2 


34 


If 


1-160 


1-973 2 


33 


28 


1160 2 


1972 


32 


29 


1-160 4 


1-971 3 


31 


30 


1-160 6 


1-970 3 


30 


31 


1-160.8 


1-969 3 


29 


32 


1-1610 


1-968 4 


28 


33 


1-1612 


1-967 4 


27 


34 


11614 


1-966 4 


26 


35 


1-1616 


1-965 4 


25 


36 


1161 8 


1-964 5 


24 


37 


1162 


1-963 5 


23 


38 


1162 2 


1-962 5 


22 


39 


M62 4 


1-961 6 


21 


40 


1162 6 


1-960 6 


20 


41 


1162 8 


1-959 7 


19 


42 


1-163 


1-958 7 


18 


43 


1-163 2 


1-957 7 


17 


44 


1-163 4 


1-956 8 


16 


45 


1163 6 


1-955 8 


15 


46 


1163 8 


1-954 9 


14 


47 


1-164 


1-953 9 


13 


48 


1164 2 


1-953 


12 


49 


1164 4 


1-952 


11 


50 


1164 6 


1-951 1 


10 


51 


1164 8 


1-950 1 


9 


52 


1-165 


1-949 2 


8 


53 


1-165 2 


1-948 2 


7 


54 


1165 4 


1-947 3 


6 


55 


1-165 6 


1-946 3 


5 


56 


1165 8 


1-945 4 


4 


57 


1.166 


1-944-4 


3 


58 


1166 2 


1-943 5 


2 


59 


1166 4 


1-9425 


1 


60 


1166 6 

CSC. 


1-941 6 





Sec. 





120° (300°) 



/ 


Sec. 


Csc. 


' 





1166 6 


1-9416 


60 


1 


1166 8 


1-940 7 


59 


2 


1-167 


1-939 7 


58 


3 


1-167 2 


1-938 8 


57 


4 


1167 5 


1-937 9 


56 


5 


1-167 7 


1-936 9 


55 


6 


1-167 9 


1-936 


54 


7 


1-168 1 


1-935 1 


53 


8 


1-168 3 


1-934 1 


52 


9 


1168 5 


1-933 2 


51 


10 


1168 7 


1-932 3 


50 


11 


1-168 9 


1-9313 


49 


12 


1-169 1 


1-930 4 


48 


13 


1-169 3 


1-929 5 


47 


14 


1-169 5 


1-928 5 


46 


15 


1-169 7 


1-927 6 


45 


16 


1-169 9 


1.926 7 


44 


17 


1-1701 


1-925 8 


43 


18 


1-170 3 


1-924 9 


42 


19 


1-170 5 


1-923 9 


41 


20 


1170 7 


1-923 


40 


21 


1-1710 


1-922 1 


39 


22 


1-1712 


1-9212 


38 


23 


1-1714 


1-920 3 


37 


24 


1-1716 


1-919 4 


36 


25 


1.171 8 


1-918 4 


35 


26 


1-172 


1-917 5 


34 


27 


1-172 2 


1-916 6 


33 


28 


1-172 4 


1-915 7 


32 


29 


1-172 6 


1-914 8 


31 


30 


1172 8 


1-913 9 


30 


31 


1-173 


1-913 


29 


32 


1-173 2 


1-9121 


28 


33 


1.173 5 


1-9112 


27 


34 


1-173 7 


1-910 3 


26 


35 


1-173 9 


1-909 4 


25 


36 


1-174 1 


1-908 4 


24 


37 


1.174 3 


1-907 5 


23 


38 


1-174 5 


1.906'6 


22 


39 


1174 7 


1-905 7 


21 


40 


1.174 9 


1-904 8 


20 


41 


1-175 1 


1-903 9 


19 


42 


1175 3 


1-903 1 


.18 


43 


1-175 6 


1-902 2 


17 


44, 


1-175 8 


1-9013 


16 


45 


1-176 


1-900 4 


15 


46 


1-176 2 


1-899 5 


14 


47 


1176 4 


1-898 6 


13 


48 


1-176 6 


1-897 7 


12 


49 


1-176 8 


1-896 8 


11 


50 


1-177 


1-895 9 


10 


51 


1-177 3 


1-895 


9 


52 


1-177 5 


1-894 1 


8 


53 


1177 7 


1-893 3 


'7 


54 


1-177 9 


1-892 4 


6 


55 


1-1781 


1-8915 


5 


56 


1-178 3 


1-890 6 


4 


57 


1-178 5 


1-889 7 


3 


58 


1-178 8 


1-888 8 


2 


59 


1179 


1.888 


1 


60 


1-179 2 


1-887 1 





/ 


Csc. 


Sec. 





32° 


(212°) 


(327°) 147'* 


r 


Sec. 


Csc. 


r 

i i - 





1179 2 


1,887 1 


1 


1-179 4 


1-886 


59 


2 


1-179 6 


1-885 3 


5» 


3 


1-179 8 


1.8844 


57 


4 


1-180 


1-883 6 


> 6 


5 


1-180 3 


1-882 7 


> 5 


6 


1180 5 


1-881 8 


54 


7 


1-180 7 


1-881 


53 


8 


1.180 9 


1.886 1 


52 


9 


1-1811 


1.8792 


51 


10 


1-1813 


1-878 3 


50 


11 


1-1815 


1-877 S 


49 


12 


1-1818 


1-876 6 


48 


13 


1-182 


1-875/7 


47 


14 


1-182 2 


1-874 9 


\ 6 


15 


1-182 4 


1-874 


45 


16 


1182 6 


1-873 1 


44 


17 


1-182 8 


1-872 3 


43 


18 


1-183 1 


1-871 4 


42 


19 


1-183 3 


1-870 6 


41 


20 


1-183 5 


1.8697 


40 


21 


1-183 7 


1-868 8 


39 


22 


1-183 9 


1-868 


38 


23 


1184 2 


1-867 1 


37 


24 


1184 4 


1-866 3 


36 


25 


1-184 6 


1-865 4 


35 


26 


1184 8 


1-864 6 


34 


27 


1-185 


1-863 7 


33 


28 


1-185 2 


1-862 9 


32 


29 


1-185 5 


1-862 


31 


30 


1-185 7 


1-861 2 


30 


31 


1-185 9 


1-860 3 


29 


32 


1-186 1 


1-859 5 


28 


33 


M86 3 


1-858 6 


27 


34 


1-186 6 


1-857 8 


26 


35 


1186 8 


1,856 9 


25 


36 


1-187 


1-856 1 


24 


37 


1-187 2 


1-855 2 


23 


38 


1.187 5 


1.8544 


22 


39 


M87 7 


1-853 5 


21 


M 


1-187 9 


1-852 7 


20 


41 


1.188 1 


1-851 9 


19 


42 


1188 3 


1.851 


18 


43 


1.188 6 


1.8502 


17 


M 


1188 8 


1.8494 


16 


15 


1189 


1-848 5 


15 


46 


1189 2 


1-847 7 


14 


47 


1-189 5 


1-846 8 


L 3 


48 


1.189 7 


1-846 


12 


49 


1189 9 


1.8452 


11 


50 


1-190 1 


1-844 3 


1* 


51 


1.190 3 


1-843 5 


9 


52 


1.190 6 


1.842 7 


8 


53 


1190 8 


1-841 9 


7 


54 


1-1910 


1.841 ( 


6 


55 


1-1912 


1.8402 


5 


56 


1-1915 


1.8394 


1- 


57 


1-1917 


i-938 5 




58 


1-191 9 


1.837 : 


3 


59 


1-1921 


1-83*^ : 1 


60 


1192 4 


1-836 1 
1 




csc. 


Sec. 1 ' 



(22 ') 5? 



121° (301°) 



(238") 58" 



122" (302") 



124 



(237") 5 

[Continued) 



SP:8- 1970 



TABLE 7B NATURAL FUNCTIONS ■— SECANTS AND COSECANTS —Contd 
(326°) 146° 34° (214") (325") 145" 35" (215°) 



33° (213°) 



(324") 144" 






Sec. 


Csc. 


r 


1192 4 


1.836 1 


60 


1 


1192 6 


1-835 3 


59 


2 


1192 8 


1.834 4 


58 


3 


1193 


1-833 6 


57 


4 


1193 3 


1.832 8 


56 


S 


1.193 5 


1.832 


55 


6 


1193 7 


1.831 2 


54 


7 


M93 9 


1-830 3 


53 


8 


1194 2 


1.829 5 


52 


9 


1-1944 


1-828 7 


51 


10 


1.194 6 


1.827 9 


50 


11 


1194 9 


1.827 1 


49 


12 


11951 


1.826 3 


48 


13 


1195 3 


1-825 5 


47 


14 


1195 S 


1.824 7 


46 


15 


M95 8 


1.823 8 


45 


16 


11% 


1.823 


44 


17 


1196 2 


1.822 2 


43 


18 


1-196 4 


1-821 4 


42 


19 


1.196 7 


1-820 6 


41 


20 


1.196 9 


1.819 8 


40 


21 


1-197 1 


1.819 


39 


22 


1-197 4 


1.818 2 


38 


23 


1-197 6 


1.817 4 


37 


24 


1.197 8 


1.816 6 


36 


25 


M98 1 


1-815 8 


35 


26 


1.198 3 


1.815 


34 


27 


1198 5 


1.814 2 


33 


28 


1198 7 


1.813 4 


32 


29 


1199 


1.812 6 


31 


30 


1-199 2 


1.811 8 


30 


31 


1199 4 


1.811 


29 


32 


1199 7 


1.810 2 


28 


33 


1-199 9 


1-809 4 


27 


34 


1-2001 


1-808 6 


26 


35 


1-2004 


1-807 8 


25 


36 


1-200 6 


1.807 


24 


37 


1-200 8 


1.806 2 


23 


38 


1-201 1 


1-805 5 


22 


39 


1-201 3 


1804 7 


21 


40 


1.201 5 


1.803 9 


20 


41 


1.201 8 


1-803 1 


19 


42 


1.202 


1-802 3 


18 


43 


1.202 2 


1.801 5 




44 


1.202 5 


1.800 7 


:a 


45 


1-202 7 


1.800 


15 


46 


1 -202 9 


1-799 2 


14 


47 


1-203 2 


1-798 4 


13 


48 


1-203 4 


1.797 6 


12 


49 


1-203 6 


1.796 8 


11 


50 


1-203 9 


1.796 


10 


51 


1-204 1 


1.795 3 


9 


52 


1.204 3 


1.794 5 


8 


53 


1-204 6 


1-793 7 


7 


54 


1-204 8 


1.792 9 


6 


55 


1-205 


1-792 2 


5 


56 


1-205 3 


1-7914 


4 


57 


1-205 5 


1-790 6 


3 


58 


1-205 7 


1.789 8 


2 


59 


1.206 


1.789 1 


1 


60 


1 -206 2 


1.788 3 





CSC. 


Sec. 


r 



r 


Sec. 


Csc. 


/ 





1-206 2 


1.788 3 


60 


1 


1.206 5 


1.787 5 


59 


2 


1-206 7 


1.786 8 


58 


3 


1-206 9 


1-756 


57 


4 


1-207 2 


1-785; 


56 


5 


1-207 4 


1-7844 


55 


6 


1-207 6 


1.783 7 


54 


7 


1-207 9 


1.782 9 


53 


8 


1-208 1 


1.782 1 


52 


9 


1.208 4 


1.7814 


51 


10 


1.208 6 


1.780 6 


50 


11 


1-208 8 


1.779 9 


49 


12 


1-209 1 


1.779 1 


48 


13 


1-209 3 


1.778 3 


47 


14 


r-209 6 


1.777 6 


46 


15 


1.209 8 


1.776 8 


45 


16 


1-210 


1-776 1 


44 


17 


1.210 3 


1.775 3 


43 


18 


1-210 5 


1.774 5 


42 


19 


1.210 8 


1.773 8 


41 


20 


1.211 


1.773 


40 


21 


1-2112 


1.772 3 


39 


22 


1.211 5 


1-771 5 


38 


23 


1.211 7 


1-770 8 


37 


24 


1-212 


1.770 


36 


25 


1-212 2 


1.769 3 


35 


26 


1-212 4 


1.768 5 


34 


27 


1.212 7 


1-767 8 


33 


28 


1.212 9 


1.767 


32 


29 


1-213 2 


1.766 3 


31 


30 


1.213 4 


1.765 5 


30 


31 


1.213 6 


1-764 8 


29 


32 


1.213 9 


1.764 


28 


33 


1.214 1 


1.763 3 


27 


34 


1.214 4 


1.762 5 


26 


35 


1.214 6 


1-761 8 


25 


36 


1.214 9 


1.761 


24 


37 


1.215 1 


1.760 3 


23 


38 


1.215 4 


1.759 6 


22 


39 


1.215 6 


1.758 8 


21 


4U 


1.215 8 


1-7581 


20 


41 


1.216 1 


1-757 3 


19 


42 


1.216 3 


1.756 6 


18 


43 


1-216 6 


1,755 9 


17 


44 


1-216 8 


1.755 1 


16 


45 


1.217 1 


1.754 4 


15 


46 


1.217 3 


1.753 7 


14 


47 


1.217 6 


1.752 9 


13 


48 


1.217 8 


1.752 2 


12 


49 


1.218 1 


1-7515 


11 


50 


1.218 3 


1.750 7 


10 


51 


1.218 5 


1.750 


9 


52 


1-218 8 


1.749 3 


8 


53 


1.219 


1.748 5 


7 


54 


1.219 3 


1.747 8 


6 


55 


1.219 5 


1.747 1 


5 


56 


1.219 8 


1.746 3 


4 


57 


1-220 


1-745 6 


3 


58 


1-220 3 


1.744 9 


2 


59 


1.220 5 


1.744 2 


1 


60 

r 


1-220 8 


1.743 4 





Csc. 


Sec. 



t 


Sec. 


Csc. 


' 





1.220 8 


1.743 4 


60 


1 


1-2210 


1-742 7 


59 


2 


1-2213 


1-742 


58 


3 


1.221 5 


1-7413 


57 


4 


1.221 8 


1-740 6 


56 


5 


1.222 


1.739 8 


S6 


6 


1-222 3 


1.739 1. 


54 


7 


1-2225 


1-738 4 


53 


8 


1.222 8 


1-737 7 


52 


9 


1.223 


1.737 


51 


10 


1.223 3 


1-736 2 


50 


11 


1.223 5 


1-735 5 


49 


12 


1.223 8 


1-734 8 


48 


13 


1.224 


1-7341 


47 


14 


1.224 3 


1-7334 


46 


15 


1.224 5 


1.732 7 


45 


16 


1.224 8 


1-732 


44 


17 


1.225 


1-7312 


43 


18 


1.225 3 


1-730 5 


42 


19 


1-225 5 


1.729 8 


41 


20 


1.225 8 


1.729 1 


40 


21 


1.226 


1.728 4 


39 


22 


1.226 3 


1.727 7 


38 


23 


1.226 5 


1-727 


37 


24 


1.226 8 


1.726 3 


36 


25 


1.227 1 


1.725 6 


35 


26 


1.227 3 


1.724 9 


34 


27 


1.227 6 


1.724 2 


33 


28 


1.227 8 


1.723 5 


32 


29 


1.228 1 


1.722 8 


31 


30 


1.228 3 


1.722 1 


30 


31 


1.228 6 


1.721 3 


29 


32 


1.228 8 


1.720 6 


28 


33 


1.229 1 


1-719 9 


27 


34 


1.229 3 


1-719 2 


26 


35 


1.229 6 


1-718 5 


25 


36 


1.229 9 


1.717 9 


24 


37 


1-230 1 


1-717 2 


23 


38 


1230 4 


1.716 5 


22 


39 


1-230 6. 


1.715 8 


21 


40 


1.230 9 


1.715 1 


2t 


41 


1.231 1 


1-714 4 


19 


42 


1.231 4 


1-713 7 


18 


43 


1.231 7 


1.713 


17 


44 


1.231 9 


1-712 3 


16 


45 


1-232 2 


1.711 6 


15 


46 


1.232 4 


1-710 9 


14 


47 


1.232 7 


1-710 2 


13 


48 


1.232 9 


1-709 5 


12 


49 


1.233 2 


i -708 8 


11 


50 


1.233 5 


1.708 1 


10 


51 


1.233 7 


1.707 5 


9 


52 


:-234 


1.706 8 


8 


53 


1-234 2 


1-7061 


7 


54 


1.234 5 


1-705 4 


6 


55 


1.234 8 


1-704 7 


5 


56 


1.235 


1-704 


4 


57 


1.235 3 


1-703 3 


3 


58 


1-235 5 


1.702 7 


2 


59 


1.235 8 


1.702 


1 


60 


1-236 1 


1.701 3 





Csc. 


Sec. 





123° (303°) 



(236°) 56° 



124" (304") 



(235") 55° 



125" (305") 



125 



(234") 54° 

{Continued) 



SP : 8 - 1970 



36° (216") 



TABLE 7B NATURAL FUNCTIONS— SECANTS AND COSECANTS 

(323") 143° 37" (217") (322") 142" 38° (218") 



• Confd 



(231") 141" 






Sec. 


Csc. 


r 

60 


1.236 1 


1-701 3 


1 


1.236 3 


1.700 6 


59 


2 


1.236 6 


1.699 9 


58 


3 


1-236 9 




57 


4 


1-2371 


1.199 1.(91 11 


56 


5 






55 


6 


1-237 9 


1.19; H«! 2 


54 


7 


1-238 2 


1.696 6 


53 


8 






52 


9 


1.238 4 


1.E9S 1.I9S 12 


51 


10 


1-238 7 


1.694 5 


50 


11 








12 


iffliaiaii! 


Mini 1)11 


Mil 


13 


1.239 7 


1.691 8 


46 


15 


1-240 


1.691 2 


45 


16 


1.240 3 


1-690 5 


44 


17 


1-240 5 


1.689 8 


43 


18 


1.240 8 


1.689 2 


42 


19 


1.241 1 


1.688 5 


41 


20 


1-241 3 


1.687 8 


40 


21 


1.241 6 


1.687 1 


39 


22 


1-2419 


1,686 5 


38 


23 


1.242 1 


1.685 8 


37 


24, 


1.242 4 


1.685 2 


36 


25 


1-242 7 


1.684 5 


35 


26 


1-242 




34 


27 


1-243 4 


i.ii; 1.II3 1! 


33 


28 


1,243 5 


1-682 5 


32 


29 


1.243 7 


1-681 8 


31 


30 


1.2440 


1.681 2 


30 


31 


1.244 3 


1.680 5 


29 


32 


1.244 5 


1.679 9 


28 


33 


1.244 8 


1.679 2 


27 


34 


1-245 1 


1.678 5 


26 


35 


1-245 3 


1.677 9 


25 


36 


1-245 9 


1.677 2 


24 


37 


1-246 2 


1.676 6 


23 


38 








39 


1-246.4 


IflJ 1.1IS !i 


22 21 


40 


1.246 7 


1.674 6 


20 


41 


1.247 


1.673 9 


19 


42 


1.247 2 


1-673 3 


18 


43 


1.247 5 


1.672 6 


17 


44 


1,247 8 


1.672 


16 


45 


1.248 


1.671 3 


15 


46 


1.248 3 


1.670 7 


14 


47 


1-248 


1.670 


13 


48 


1-248 8 


1.669 4 


12 


49 


1.249 1 


1.668 7 


11 


50 








51 


1.219 1.219 U 


mmn 


10 


52 






9 


53 


\Wm !! 


m m 11 


8 
7 
6 


54 


1-250 5 


1.665 5 


56 


1.250 8 


1664 9 


5 

4 


57 


1.2S1 1.2S1 IJ 


mmu 




58 


1-251 




! 


59 


1-251. 8 


■1«231,662 9 


11 


60 


1.252 1 


1.661 6 





CSC. 


Sec. 


f 



r 


1 Sec. 1 


Csc. 1 


f 

60 





1.252 1 


1.661 6 


1 


1.252 4 


1.661 


59 


2 


1.252 7 


1-666 4 


58 


3 


1.253 


1.659 7 


57 


4 


1.253 2 


1-659 1 


56 


5 
6 
7 
8 
9 


1.253 5 


1.658 5 


55 


L253Uilll 


l.(S2 1.SS2I2 


»!3 


1.2SI 1.2SI !1 


1.ISI l.iSS SI 


!2S1 


to 


1-254 9 


1.655 3 


50 


[1 


1.255 2 


1-654 6 


49 


12 


1-255 4 


1-654 


48 


13 


1-255 7 


1-653 4 


47 


14 


1-256 


1.652 7 


46 


15 


1.256 3 


1.652 1 


45 


16 


1.256 6 


1-6515 


44 


17 


1.256 8 


1.650 8 


43 


18 


1-257 1 


1.650 2 


42 


19 


1.257 4 


1.649 6 


41 


20 








21 


ifflLzm; 


1-648 9- 
1-648 3 


40 


22 






3) 


23 


1.2Slia2S 


l,fflL6«71 


J! 31 


24 


1-258 8 


1.6464 


36 


25 


1.259 1 


1.645 8 


35 


26 


1.259 3 


1-645 2 


34 


27 


1.259 6 


1.644 6 


33 


28 


1.259 9 


1-643 9 


32 


29 


1.260 2 


1-643 3 


31 


30 


1.260 5 


1.642 7 


30 


31 


1.260 8 


1.642 1 


29 


32 


1.261 


1-6414 


28 


33 


1.2613 


1-640 8 


27 


34 


1.261 6 


1.640 2 


26 


35 


1-261 9 


1.639 6 


25 


36 


1-262 2 


1.639 


24 


37 


1-262 4 


1.638 3 


23 


38 


1.262 7 


1.637 7 


22 


39 


1-263 


1.637 1 


21 


40 


1-263 3 


1.636 5 


20 


41 


1.263 6 


1-635 9 


19 


42 


1-263 9 


1.635 3 


18 


43 


1-2641 


1.634 6 


17 


44 


1-264 4 


1.634 


16 


45 








46 


1.21S 1.2HIII 


WJ2L63348 


liH 


47 








48 


1.21S 1.21S 11 


1.1322 1.131 I 


D12 


49 


1.265 9 


1.631 


11 


50 


1.266 1 


1.630 3 


10 


51 


1.2664 


1.629 7 


9 


52 


1.266 7 


1.629 1 


8 


53 


1.267 


1-628 5 


7 


54 


1-267 3 


1.627 9 


6 


55 


1.267 6 


1.627 3 




56 


1-267 9 


1.626 7 


8 


57 


1-268 2 


1.626 1 


3 


58 


1-268 4 


1-625 5 


2 


59 


1-268 7 


1.624 9 


I 


60 


1.269 


1.624 3 







csc. 


Sec. 


' 



r 


Sec. 


Csc. 


r 





1.269 


1-624 3 


60 


1 




1.623 7 


59 


2 


1.219 1.219 li 


1-623 1 


58 


3 




1.622 5 


57 


4 


1.219 1.2211 1! 


1-621 9 


56 


5 


1-270 5 


1.621 3 


55 


6 




1-620 7 


54 


7 


1.211 1.2II1 11 


1-620 1 


53 


8 




1.619 5 


52 


9 


1.211 l'!Il If 


1.618 9 


51 


to 




1-618 3 


50 


11 


IB!l,2;i 12 


1-617 7 


49 


12 




1-617 1 


48 


13 


1.222 1.212 SI 


1.616 5 


47 


14 


1.273 I 


1.615 9 


46 


15 




1.6153 


45 


16 


1.213 1.223 U 


1-614 7 


1 4 


17 




1.614 1 


43 


18 


mmw 


1.613 5 


42 


19 


\.ni^ 5 


1.612 9 


41 


21 


1.274 8 


1.6123 


40 


22 


1.225 Iffiil 


1-611 7 


39 






1.611 1 


38 


23 




1-610 5 


37 


24 


1.22S 1.2It 11 


1.6099 


36 


25 








26 


1«1'27J 11 


1.609 3 


35 






1-608 7 


34 






1-608 2 


33 


27 




1-607 6 


32 


28 


ffll,!II12J)!l 


1.6070 


31 


29 








30 


1.277 8 


1-606 4 


30 


31 


1.278 I 


1-605 8 


29 


32 




1.605 2 


28 


33 


1.2211 a u 


1.6046 


27 


34 


1.279 


1-604 


26 


35 


1-279 3 


1.603 5 


25 


36 




1-602 9 


24 


37 


1.229 m 1! 


1-602 3 


23 


38 




1.601 7 


22 


39 


1.210 1.210 24 


1.601 I 


21 


40 




1-600 5 


20 


41 


L2801'2I1 It 


1-600 


19 


42 




1-599 4 


18 


43 


1.211 1.211 11 


1-598 8 


17 


44 


1.281 9 


1.5982 


16 


45 




1-597 6 


15 


46 


la 1.282 2S 


1-597 I 


14 


47 




1.596 5 


13 


48 


mm 11 


1-595 9 


12 


49 


1.283 4 


1-595 3 


11 


50 1 


1.283 7 


1-594 8 


10 


51 


1-284 


1.594 2 


9 


52 


1.284 3 


1.593 6 


8 


53 


1.284 6 


1-593 


7 


54 


1.284 9 


1.5925 


6 


55 


1.285 2 


1.591 9 


5 


56 




1-5913 


4 


57 


1'2IS 1.2IS SI 


1-590 7 


3 


58 


1.286 2 


1.590 2 


2 


59 


1.286 5 


1.5896 


1 


60 

r 


1.286 8 


1.5890 

Sec. 




r 


Csc. 



126° (306° 



(233") 53" 127° (307") 



(232") 52° 128° (308") 



126 



(231") 51" 
(Continued') 



SP : 8 . 1970 



TABLE 7B NATURAL FUNCTIONS —SECANTS AND COSECANTS —Contd 
(320°) 140" 40" (220°) (319°) 139° 41" (221°) 



39" C19") 



(318") 138" 






Sec. 


Csc. 


f 


1.2868 


1-589 


60 


1 


1-287 1 


1-588 


59 


2 


1-287 4 


1-587 3 


58 


3 


1-287 7 


1-587 3 


57 


4 


1-288 


1-586 7 


56 


5 


1-288 3 


1-S86 2 


55 


6 


1-288 6 


1-585 6 


54 


7 


1-288 9 


1-585 


53 


8 


1-289 2 


1-584 5 


52 


9 


1-289 5 


1-583 9 


51 


10 


1-289 8 


1-583 3 


50 


11 


1-290 1 


1-582 8 


49 


12 


1-290 


1-582 2 


48 


13 


1-290 3 


1-5816 


47 


14 


L291 


1-5811 


46 


15 


1-291 3 


1-580 5 


45 


16 


1-2916 


1-580 


44 


17 


1-2919 


1-579 4 


43 


18 


1-292 3 


1-578 8 


42 


19 


1-292 6 


1.578 3 


41 


20 


1-292 9 


1-577 7 


40 


21 


1-293 2 


1-577 1 


39 


22 


1-293 5 


1-576 6 


38 


23 


1-293 8 


1-576 


37 


24 


1-294 1 


1.575 5 


36 


25 


1.294 4 


1-574 9 


35 


26 


1294 7 


1-574 4 


34 


27 


1-295 


1-573 8 


33 


28 


1-295 3 


1.573 2 


32 


29 


1-295 7 


1.572 7 


31 


30 


1-296 


1.572 1 


30 


31 


1-296 3 


1571 6 


29 


32 


1-296 6 


1-5710 


28 


33 


1-296 9 


1-570 5 


27 


34 


1-297 2 


1-569 9 


26 


35 


1.297 5 


1.569 4 


25 


36 


1.297 8 


1-568 8 


24 


37 


1-298 1 


1-568 3 


23 


38 


1-298 5 


1-567 7 


22 


39 


1-298 8 


1.567 2 


21 


40 


1-299 1 


1.566 A 


20 


41 


1-299 4 


1-566 1 


19 


42 


1.299 7 


1-565 5 


18 


43 


1-300 


1565 


17 


44 


1-300 3 


1.564 4 


16 


45 


1-300 7 


1-563 9 


15 


46 


1-301 


1-563 3 


14 


VJ 


1-301 3 


1-562 8 


13 


« 


1-3016 


1-562 2 


12 





1-301 9 


1-5617 


11 


50 


1.302 2 


1-561 1 


10 


51 


1-302 6 


1-560 6 


9 


52 


1.302 9 


1-560 1 


8 


53 


1-303 2 


1-559 5 


7 


54 


1-303 5 


1-559 


6 


55 


1.303 8 


1-558 4 


5 


56 


1-304 1 


1.557 9 


4 


57 


1-304 5 


1-557 3 


3 


58 


1-304 8 


1-556 8 


2 


59 


1-305 1 


1-556 3 


1 


60 


1.305 4 


1-555 7 





■1 


Csc. 


1 





129" (309") 



(230°) 50" 





1 

2 

. 3 

4 

5 
6 

7 
8 
9 

10 

11 
12 
13 
14 

15 

16 
17 
18 
19 

20 

21 
22 
23 

24 

25 

26 
27 
28 
29 

30 

31 
32 
33 
34 

35 

36 
37 
38 
39 

40 

41 
42 
43 
+4 

45 

46 
47 
48 
49 

50 

51 
52 
53 

54 

55 

56 
57 
58 
59 

SO 



Sec. 



1-305 4 
1-305 7 
1-306 
1-306 4 
1-306 7 

1.307 
1-307 8 
1-307 6 
1-308 
1-308 3 

1-308 6 
1-308 9 
1-309 3 
1-309 6 
1-309 9 

1-310 2 
1-3105 
1-310 9 
1-3112 
1-3115 

1-3118 
1-312 2 
1-312 5 
1-312 8 
1-313 1 

1-313 5 
1-313 8 
1-3141 
1-314 4 
1-314 8 

1.315 1 
1-315 4 
1-315 7 
1-3161 
1-316 4 

1-31 67 
1-31 71 
1317 4 
1-317 7 
1-318 

1-318 4 
1-318 7 
1-319 
1-319 4 
1-319 7 

1.320 
1.320 3 
1-320 7 
1-3210 
13213 

1-321 7 
1-322 
1-322 3 
1-322 7 
1-323 

1323 3 
1-323 7 
1-324 
1-324 3 
1.324 7 

1-325 



Csc. 



Csc. 



1-555 7 
1-555 2 
1-554 6 
1-554 1 
1-553 6 

1-553 
1-552 5 
1-552 
1-5514 
1-550 9 

1-550 4 
1-549 8 
1-549 3 
1-548 8 
1-548 2 

1-547 7 
1-547 2 
1-546 6 
1-546 1 
1-545 6 

1-545 
1.544 5 
1-544 
1543 5 
1-542 9 

1-542 4 
1.541 9 
1-5413 
1-540 8 
1-540 3 

1-539 8 
1.539 2 
1-538 7 
1-538 2 
1.537 7 

1-537 2 
1-536 6 
1-536 1 
1-535 6 
1.535 1 

1-S34 5 
1534 
1-533 5 
1-533 
1-532 5 

1-532 
1-5314 
1-530 9 
1-530 4 
1-529 9 

1-529 4 
1-528 9 
1528 3 
1527 8 
1-527 3 

1-526 8 
1-526 3 
1-525 8 
1-525 3 
1.524 8 

1.524 3 



Sec. 



60 

59 
58 
'^7 
56 

55 

54 
53 
52 
51 

50 
49 
48 
47 
46 

45 
44 
43 
42 
41 

40 
39 
38 
37 
36 

35 

34 
33 
32 
31 

30 
29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
[8 
17 
16 

15 

14 
[3 

12 
11 

to 

9 
8 
7 
6 

5 

4 
3 
2 
1 



' 


Sec. 


Csc 







1-325 


1.524 3 


60 


1 


1-325 3 


1-523 7 


59 


2 


1-325 7 


1-523 2 


58 


3 


1-326 


1-522 7 


57 


4 


1326 4 


1-522 2 


56 


5 


1-326 7 


1-5217 


55 


6 


1-327 


1-5212 


54 


7 


1-327 4 


1-520 7 


53 


8 


1-327 7 


1520 2 


52 


9 


1-328 


1-519 7 


51 


10 


1-328 4 


1-519 2 


50 


11 


1-328 7 


1-518 7 


49 


12 


1-329 1 


1-518 2 


48 


13 


1-329 4 


1-517 7 


47 


14 


1-329 7 


1517 2 


46 


15 


1.330 1 


1-516 7 


45 


16 


1-330 4 


1-516 2 


44 


17 


1-330 7 


1-515 6 


43 


.8 


1-3311 


1-515 1 


42 


9 


1-3314 


1-514 6 


41 


!0 


1-3318 


1-514 1 


40 


!1 


1-332 1 


1-513 6 


39 


\2 


1-332 5 


1-513 1 


38 


13 


1-332 8 


1512 6 


37 


14 


1.333 1 


1-512 1 


36 


15 


1-333 5 


1-5116 


35 


16 


1333 8 


1-5111 


34 


17 


1-334 2 


1-510 7 


33 


18 


1-334 5 


1-510 2 


32 


19 


1-334 8 


1-509 7 


31 





1-335 2 


1-509 2 


30 


1 


1-335 5 


1-508 7 


29 


2 


1-335 9 


1-508 2 


28 


3 


1-336 2 


1-507 7 


27 


4 


1-336 6 


1-507 2 


26 


5 


1-336 9 


1-506 7 


25 


6 


1-337 3 


1-506 2 


24 


7 


1-337 6 


1-505 7 


23 


8 


1-338 


1-505 2 


22 


9 


1-338 3 


1-504 7 


21 





1-338 6 


1-504 2 


20 


1 


1-339 


1-503 7 


19 


2 


1-339 3 


1-503 2 


18 


3 


1-339 7 


1-502 7 


17 


4 


1-340 


1-502 3 


16 


5 


1-340 4 


1-5018 


15 


6 


1-340 7 


1.501 3 


14 


7 


1-341 1 


1.500 8 


13 


8 


1-3414 


1-500 3 


12 


9 


1-3418 


1-499 8 


11 





1.342 1 


1.499 3 


10 


1 


1-342 5 


1-498 8 


9 


2 


1-342 8 


1-498 4 


8 


3 


1-343 2 


1-497 9 


7 


4 


1.343 5 


1.497 4 


6 


5 


1-343 9 


1-496 9 


5 


6 


1-344 2 


1-496 4 


4 


7 


1-344 


1-495 9 


3 


8 


1-344 8 


1-495 4 


2 


9 


1-345 3 


1-495 


1 





1-345 6 


1-494 5 





/ 


Csc. 


Sec. 





1 30° (310°) 



(229°) 49° 



131" (311") 



127 



(228") 48" 
{Continued) 



SP : 8 - 1970 



42" (222") 



TABLE 7B NATURAL FUNCTIONS 
(317") 137"> 43" (223") 



SECANT'S AND 
(316") 136" 



COSECANTS —Contd 




1 
2 
3 
4 

5 
6 

7 
8 
9 

10 

u 

12 

13 
14 

15 

16 

17 
18 
19 

20 

21 
22 
23 
24 

25 
26 
27 
28 
29 

}0 

31 
32 
33 
34 

35 
36 
37 
38 
39 

40 

41 
42 
43 
44 

45 

46 
47 
48 
49 

50 

51 
52 
53 
54 

55 

56 
57 
58 
59 

60 



Sec. 



1-345 6 
1'346 
1-346 3 
1-346 7 
1-347 

1-347 4 
1-347 8 
1-348 1 
1-348 5 

1.348 8 

1-349 2 

1.349 5 
1-349 9 
1-350 2 
1-350 6 

1.351' 
1-3513 

1.351 7 

1.352 
1-352 4 

1.352 7 

1-353 1 

1.353 5 

1.353 8 

1-354 2 

1.354 5 
1-354 9 
1-355 3 
1-355 6 
1-356 

1.356 3 

1.356 7 
1-357 1 
1-357 4 

1.357 8 

1.358 2 

1-358 5 
1-358 9 

1.359 2 
1-359 6 

1.360 
1-360 3 

1.360 7 
1-361 1 

1.361 4 

1.361 8 
1-362 2 

1.362 5 

1.362 9 

1.363 3 

1-363 6 

1.364 
1.364 4 

1.364 7 

1.365 1 

1-365 5 
1-365 8 

1.366 2 

1.366 6 

1.367 

1-367 3 



Csc. 



Csc. 



1.494 5 
1,494 
1.493 5 
1.493 
1.492 5 

1.492 1 
1-4916 
1.491 1 
1.490 6 
1-490 1 

1-489 7 
1-489 2 
1-488 7 
l-48§2 
1.487 8 

1.487 3 
1-486 8 
1-486 3 
1.485 9 

1-485 4 

1.484 9 
1.484 4 

1-484 
1-483 5 
1.483 

1-482 5 
1.482 1 
1-4816 
1.481 1 
1.480 7 

1.480 2 
1-479 7 
1.479 2 
1-478 8 
1.478 3 

1-477 8 
1-477 4 
1-476 9 
1-476 4 
1.476 

1-475 5 
1-475 
1-474 6 
1-474 1 
1.473 7 

1.473 2 
1-472 7 
1.472 3 
1.471 8 

1-4713 

1.470 9 
1.470 4 
1-470 
1-469 5 
1-469 

1.468 6 
1.468 1 
1.467 7 

1-467 2 
1-466 7 

1.466 3 



Sec. 



.0 

;9 

;8 
'<! 
16 

>5 

14 
13 
i2 
il 

>0 

1-9 
t8 
t7 
\(> 

15 

W 

^3 
n 

10 

!9 
58 
57 
56 

J5 

54 
53 
52 
51 

30 

29 
28 
27 
26 

25 

24 
23 
22 
21 

20 

19 
18 
17 
16 

15 

14 
13 
12 
11 

10 

9 

8 
7 
6 

5 

4 
3 
2 
1 



132" (312°) 



(227") 47° 



/ 


Sec. 


Csc. 


/ 





1.367 3 


1.466 3 


60 


1 


1.367 7 


1.465 8 


59 


2 


1.368 1 


1-465 4 


58 


3 


1-368 4 


1-464 9 


57 


4 


1-368 8 


1.464 5 


56 


5 


1-369 2 


1.464 


55 


6 


1-369 


1.463 5 


54 


7 


t-369 8 


1.463 1 


53 


8 


1-370 3 


1.462 6 


52 


9 


1.370 7 


1.462 2 


51 


10 


1.371 1 


1-461 7 


50 


11 


1-3714 


\-461 3 


49 


12 


1-371 8 


1-460 8 


48 


13 


1-372 2 


1.460 4 


47 


14 


1-372 6 


1-459 9 


46 


15 


1-372 9 


1.459 5 


45 


16 


1-373 3 


1.459 


44 


17 


1.373 7 


1.458 6 


43 


18 


1.374 1 


1-4581 


42 


19 


1.374 4 


1.457 7 


41 


20 


i-374 8 


1.457 2 


40 


21 


1-375 2 


1-456 8 


39 


22 


1-375 


1-456 3 


38 


23 


1-375 8 


1-455 9 


37 


24 


1.376 3 


1-455 4 


36 


25 


1-376 7 


1-455 


35 


26 


1.377 1 


1-454 5 


34 


27 


1.377 5 


1-454 1 


33 


28 


1-377 8 


1-453 6 


32 


29 


1-378 2 


1-453 2 


31 


30 


1.378 6 


1-452 7 


30 


31 


1-379 


1.452 3 


29 


32 


1-379 4 


1-4518 


28 


33 


1.379 7 


1-4514 


27 


34 


1-3801 


1.451 


26 


35 


1.380 5 


1.450 5 


25 


36 


1.380 9 


1.450 1 


24 


37 


1-3813 


1.449 6 


23 


38 


1-3817 


1449 2 


22 


39 


1.382 


1448 7 


21 


40 


1-382 4 


1448 3 


20 


41 


1-382 8 


1-447 9 


19 


42 


1.383 2 


1447 4 


18 


43 


1-383 6 


1-447 


17 


44 


1.384 


1446 5 


16 


45 


1-384 3 


1446 1 


15 


46 


1.384 7 


1-44S7 


14 


47 


1-385 1 


1-445 2 


13 


48 


1-385 5 


1-444 8 


12 


49 


1-385 9 


1.444 3 


11 


50 


1.386 3 


1-443 9 


10 


51 


1-386 7 


1-443 5 


9 


52 


1.387 1 


1-443 


8 


53 


1.387 4 


1-442 6 


7 


54 


1.387 8 


1-442 2 


6 


55 


1-388 2 


1-4417 


5 


56 


1-388 6 


1-441 3 


4 


57 


1.389 


1-440 9 


3 


58 


1-389 4 


1.440 4 


2 


59 


1-389 8 


1-440 


1 


60 


1.390 2 


1-439 6 





' 


csc. 


Sec. 


133° {: 


113°) 


(22 


B") 46"^ 



44° (224") 


(315°) 135" 


f 


Sec. 


Csc. 


r 

60 





1-390 2 


1-439 6 


1 


1-390 6 


1.439 1 


59 


2 


1-390 9 


1.438 7 


58 


3 


1.391 3 


1-438 3 


57 


4 


1-3917 


1-437 8 


56 


5 


1.392 1 


1-437 4 


55 


6 


1.392 5 


1.437 


54 


7 


1.392 9 


1.436 5 


53 


8 


1-393 3 


1.436 1 


52 


9 


1-393 7 


1-435 7 


51 


10 


1.394 1 


1-435 2 


50 


11 


1-394 5 


1.434 8 


49 


12 


1-394 9 


1.434 4 


48 


13 


1-395 3 


1.434 


47 


14 


1-395 7 


1.433 5 


46 


15 


1.396 1 


1.433 1 


45 


16 


1.396 5 


1.432 7 


44 


17 


1.396 9 


1.432 2 


43 


18 


1-397 2 


1-4318 


42 


19 


1-397 6 


1-431 4 


41 


20 


1.398 


1-4310 


40 


21 


1.398 4 


1-430 5 


39 


22 


1.398 8 


1.430 1 


38 


23 


1-399 2 


1-429 7 


37 


24 


1.399 6 


1.429 3 


36 


25 


1.4000 


1-428 8 


35 


26 


1.400 4 


1-428 4 


34 


27 


1.400 8 


1.428 


33 


28 


1-4012 


1-427 6 


32 


29 


1.401 6 


1.427 1 


31 


30 


1.402 


1.426 7 


30 


31 


1-402 4 


1.426 3 


29 


32 


1.402 8 


1.425 9 


28 


33 


1.403 2 


1-425 S 


27 


34 


1.403 6 


1-425 


26 


35 


1.4040 


1-424 6 


25 


36 


1.4044 


1.424 2 


24 


37 


1-404 8 


1.423 8 


23 


38 


1-405 2 


1.423 4 


22 


39 


1.405 7 


1.422 9 


21 


40 


1.406 1 


1.422 5 


20 


41 


1-406 5 


1.422 1 


19 


42 


1.406 9 


1.421 7 


18 


43 


1-407 3 


1-4213 


17 


44 


1-407 7 


1-420 8 


16 


45 


1.408 1 


1.420 4 


15 


46 


1-408 5 


1-420 


14 


47 


1-408 9 


1.419 6 


13 


48 


1.409 3 


1.419 2 


12 


49 


1.409 7 


1-418 8 


11 


50 


1-4101 


1.418 3 


10 


51 


1.410 5 


1.417 9 


9 


52 


1-410 9 


1.417 5 


8 


53 


1-4113 


1.417 1 


7 


54 


1-4118 


1-416 7 


6 


55 


1-412 2 


1-416 3 


5 


56 


1.412 6 


1-415 9 


4 


57 


1-413 


1-415 4 


3 


58 


1-413 4 


1.415 


2 


59 


1-413 8 


1.414 6 


1 


60 


1-414 2 


1.414 2 





csc. 


Sec. 


/ 



134° (314° 



(225") 45" 



128 



SP:8- 1970 









TABLE 8 


Deg. 


Arc. 


Deg. 


Arc. 


1 


■017 453 3 


61 


1 064 650 8 


2 


•034 906 6 


62 


1082 104 1 


3 


•052 359 9 


63 


1099 557 4 


4 


•069 813 2 


64 


1.117 010 7 


5 


•087 266 5 


65 


1.134 464 


6 


•104 719 8 


66 


1 151917 3 


7 


■122 173 


67 


1.169 370 6 


8 


■139 626 3 


68 


1.186 823 9 


9 


•157 079 6 


69 


1204 277 2 


10 


■174 532 9 


70 


1.221 730 5 


11 


•191 986 2 


71 


1.239 183 8 


12 


•209 439 5 


72 


1.256 637 1 


13 


•226 892 8 


73 


1.274 090 4 


14 


•244 346 1 


74 


1.291 543 6 


15 


•261 799 4 


75 


1.308 996 9 


16 


•279 252 7 


76 


1.326 450 2 


17 


•296 706 


77 


1.343 903 5 


18 


■314 159 3 


78 


1.361 356 8 


19 


■331 612 6 


79 


1.378 810 1 


20 


■349 065 9 


80 


1.396 263 4 


21 


•366 519 1 


81 


1.413 716 7 


22 


■383 972 4 


82 


1.431 1700 


23 


401425 7 


83 


1448 623 3 


24 


■418 879 


84 


1.466 076 6 


25 


■436 332 3 


85 


1.483 529 9 


26 


■453 785 6 


86 


1.500983 2 


27 


■471 238 9 


87 


1.518 436 4 


28 


■488 692 2 


88 


1.535 889 7 


29 


■506 145 5 


89 


1.553 343 


30 


■523 598 8 


90 


1.570 796 3 


31 


■541 052 1 


91 


1.588 249 6 


32 


■558 505 4 


?.2 


1.605 702 9 


33 


■575 958 7 


93 


1.623 156 2 


34 


■593 411 9 


94 


1.640 609 5 


35 


■610 865 2 


95 


1.658 062 8 


36 


■628 318 5 


96 


1675 516 1 


37 


■645 771 8 


97 


1.692 969 4 


38 


■663 225 1 


98 


1710 422 7 


39 


■680 678 4 


99 


1.727 876 


40 


■698 131 7 


100 


1.745 329 3 


41 


■715 585 


101 


1.762 782 5 


42 


■733 038 3 


102 


1.780 235 8 


43 


■750 491 6 


103 


1.797 689 1 


44 


■767 944 9 


104 


1.815 142 4 


45 


■785 398 2 


105 


1.832 595 7 


46 


•802 851 5 


106 


1.850 049 


47 


•820 304 7 


107 


1.867 502 3 


48 


•837 758 


108 


1.884 955 6 


49 


•855 211 3 


109 


1-902 408 9 


50 


■872 664 6 


110 


1.919 862 2 


51 


■890 117 9 


111 


1.937 315 5 


52 


■907 571 2 


112 


1.954 768 8 


53 


•925 024 5 


113 


1.972 222 


54 


■942 477 8 


114 


1.989 675 3 


55 


■959 9311 


lis 


2.007 128 6 


56 


•977 384 4 


116 


2.024 581 9 


57 


•994 837 '/ 


117 


2042 035 2 


58 


1.012 291 


118 


2.059 488 5 


59 


1.029 744 3 


119 


2.076 941 8 


60 


1.047 197 6 


120 


2094 395 1 



Deg- 



Arc. 



LENGTHS OF CIRCULAR ARCS 

De^. Arc. 



Deg. 



Arc. 



121 


21 11 8484 


122 


2.129 301 7 


123 


2.146 755 


124 


2.164 208 3 


125 


2.186 611 6 


126 


2.199 114 9 


127 


2-216 568 2 


128 


2.234 021 4 


129 


2.251 474 7 


130 


2.268 928 


131 


2.286 381 3 


132 


2 303 834 6 


133 


2.321287 9 


134 


2.338 741 2 


135 


2.356 194 5 


136 


2.373 647 8 


137 


2.391 101 1 


138 


2.408 554 4 


139 


2.426 007 7 


140 


2443 461 


141 


2.460 914 2 


142 


2.478 367 5 


143 


2.495 820 8 


144 


2.513 274 1 


145 


2.530 727 4 


146 


2.548 180 7 


147 


2.565 634 


148 


2.583 087 3 


149 


2-600 540 6 


150 


2.617 993 9 


151 


2.635 447 2 


152 


2.652 900 5 


153 


2.670 353 8 


154 


2.687 807 


155 


2.705 260 3 


156 


2.722 71 3 6 


157 


2.740 166 9 


158 


2.757 620 2 


139 


2.775 073 5 


160 


2.792 526 8 


161 


2.809 980 1 


162 


2-827 433 4 


163 


Z-844 886 7 


164 


2.862 340 


165 


2.879 793 3 


166 


2.897 246 6 


167 


2.914 699 9 


168 


2.932 153 1 


169 


2.949 606 4 


170 


2.967 059 7 


171 


2.984 513 


172 


3.091 966 3 


173 


3019 419 6 


174 


3.036 872 9 


175 


3.054 326 2 


176 


3 071 779 5 


177 


3.089 232 8 


178 


3.106 686 1 


179 


3.124 139 4 


180 


3.141 592 7 



Deg. 



Arc. 



tlin. 


Arc. 




xlO-' 


1 


2909 


2 


5 818 


3 


8 727 


4 


11636 


5 


14 544 


6 


17 453 


7 


20 362 


8 


23 271 


9 


26 180 


10 


29 089 


11 


31998 


12 


34 907 


13 


37 815 


14 


40 724 


15 


43 633 


16 


46 542 


17 


49 451 


18 


52 360 


19 


5.5 269 


20 


58 178 


21 


61087 


22 


63 995 


2j 


66 904 


24 


69 813 


25 


72 722 


26 


75 631 


27 


78 540 


28 


81449 


29 


84358. 


30 


87 266 


31 


90175 


32 


93 084 


33 


95 993 


34 


98 902 


35 


101 811 


36 


104 720 


37 


107 629 


38 


110 538 


39 


113 446 


40 


116355 


41 


119 264 


42 


122 173 


43 


125 082 


44 


127 991 


45 


130900 


46 


133 809 


47 


136 717 


48 


139 626 


49 


142 535 


50 


145 444 


51 


148 353 


52 


151 2'=2 


53 


154 171 


54 


157 080 


5,5 


159 989 


56 


162 897 


57 


165 806 


58 


168 715 


59 


171 624 


60 


174 533 



Min. 



Arc. 



Sec. 


Arc. 




xlO-7 


1 


48 


2 


97 


3 


145 


4 


194 


5 


242 


6 


291 


7 


339 


8 


388 


9 


436 


10 


485 


11 


533 


12 


582 


13 


630 


14 


679 


15 


727 


16 


776 


17 


824 


18 


873 


19 


921 


20 


970 


21 


1 018 


22 


1067 


23 


1 115 


24 


1164 


25 


1212 


26 


1261 


27 


1309 


28 


1 357 


29 


1406 


30 


1454 


31 


lso3 


32 


1551 


33 


1599 


34 


1648 


35 


1697 


36 


1745 


37 


1794 


38 


1842 


39 


1891 


40 


1939 


41 


1 988 


42 


2 036 


43 


2 085 


44 


2 133 


45 


2 182 


46 


2 230 


47 


2 279 


48 


2 327 


49 


2 376 


50 


2 424 


51 


2 473 


52 


2 521 


S3 


2 570 


54 


2618 


55 


2 666 


56 


2 715 


57 


2 763 


58 


2 812 


59 


2 860 


60 


2 909 



Sec. 



Arc. 



129 



SP : 8 - 1970 



TABLE 9 RADIANS TO CIRCULAR FUNCTIONS 



Radians 


Degrees 


SIN. 
-010 


Cos. 
1000 


TAN . 

•010 


iADIANS 

•80 


Degrees 

A 


SIN. 
-717 4 


Cos. 

■6% 7 


Tan. 


■01 


0-573- 


0°34' 


45-84 


45-50'' 


1^030 


-02 


M46 


V9' 


•020 


•999 8 


•020 


•«2 


46-98 


46-59' 


■7312 


•682 2 


1072 


(O 


1-719 


1''43' 


•030 


•999 6 


•030 


•84 


48-13 


48-08' 


-744 6 


■667 s 


1116 


•04 


2.292 


2»18' 


•040 


•999 2 


•040 


■H 


49.27 


49-16' 


-757 8 


•652 4 


1162 


•05 


2.865 


2''52' 


•050 


•998 7 


•050 


■88 


50-42 


50-25' 


■770 7 


■637 2 


1-210 


•06 


3-438 


3°26' 


•060 


•998 2 


•0601 


•90 


51-57 


51-34' 


■783 3 


■6216 


1^260 


•07 


4-011 


4" 1' 


■069 9 


•997 5 


•0701 


•92 


52-71 


52-43' 


-795 6 


•605 8 


■■313 


-08 


4-584 


4-35' 


•079 9 


■996 8 


•080 2 


•94 


53-86 


53-51' 


•807 6 


•589 8 


t^369 


•09 


5157 


5''9' 


•089 9 


•995 9 


•090 2 


•96 


55-00 


55-0' 


•819 2 


•573 5 


1-428 


10 


5.730 


5°44' 


-099 8 


•995 


•100 3 


•98 


56.15 


56-9 


•830 5 


•557 


■■491 


•12 


6-876 


(>°5y 


-1197 


■992 8 


•120 6 


iOO 


57-30 


57'18' 


•8415 


•540 3 


1-557 


•14 


8.022 


8"1' 


-139 5 


•990 2 


•140 9 


102 


58-44 


58-27' 


•8521 


•523 4 


1-628 


•16 


9167 


9''10' 


-159 3 


•987 2 


•1614 


104 


59-59 


59-35' 


•862 4 


*so62 


t-704 


•18 


10-31 


10-19' 


-179 


•983 8 


•182 


106 


60-74 


60-44' 


•872 4 


•488 9 


1-784 


-20 


11-46 


11-28' 


•198 7 


•9801 


•202 7 


108 


6188 


61-53' 


•882 


•4713 


1.871 


•22 


12-61 


12-36' 


118 2 


•975 9 


-223 6 


110 


63.03 


63" 2' 


•8912 


•453 6 


1-965 


•24 


13-75 


13-45' 


•237 7 


■971 3 


•244 7 


112 


64.18 


64-10' 


•9001 


-435 7 


2066 


•26 


1490 


14-54 


-2571 


•966 4 


■266 


1.14 


6532 


65-19' 


•908 6 


-417 6 


2176 


-38 


1604 


16-3' 


•276 4 


•9611 


•287 6 


116 


66.47 


66-28' 


•916 8 


-399 3 


2296 


30 


17.19 


17-11' 


■295 5 


•955 3 


•309 3 


118 


67.61 


67-37' 


■924 6 


-380 9 


2427 


•32 


18-33 


18-20 


-314 6 


•H9 2 


■3314 


1.20 


6876 


68-45' 


•932 


-362 4 


2-572 


34 


19.48 


19-29' 


-333 5 


•942 7 


•353 7 


1^22 


69.91 


69-54 


•9391 


-343 7 


2.733 


-36 


20.63 


20-38' 


-352 3 


•935 9 


•376 4 


124 


71-05 


71-03' 


■945 8 


-324 8 


2.912 


-38 


21.77 


21-46' 


-370 9 


•928 7 


•399 4 


1.26 


72.20 


72-12' 


•9521 


-305 8 


3113 


•40 


22.92 


22-55' 


-389 4 


•9211 


•422 8 


1.28 


73-35 


73-20 


■958 


•286 7 


3.343 


42 


24.06 


24" 4' 


-407 8 


•913 1 


4466 


130 


74.49 


74-29' 


•963 6 


■267 5 


3-602 


-44 


25-21 


25-13' 


•425 9 


•904 7 


■470 8 


1.32 


75-64 


75-38' 


•968 7 


■248 2 


3903 


-46 


26.36 


26-21' 


•443 9 


•8961 


•495 4 


|34 


76.78 


76-47' 


•973 5 


•228 7 


4256 


-48 


27.50 


27-30' 


4618 


■887 


•520 6 


1.36 


77.93 


77-55' 


■977 9 


■209 2 


4-673 


50 


28.65 


28-39' 


■479 4 


•877 6 


•546 3 


138 


79-08 


79-04' 


•9818 


•189 6 


5-177 


-52 


29.79 


29-48 


-496 9 


•867 8 


•572 6 


140 


80-22 


80-13' 


•985 5 


•170 


5.798 


-54 


30.94 


30-56' 


-5141 


•857 7 


•599 4 


142 


81.37 


81-22 


•988 7 


■150 2 


6-581 


-56 


32.09 


32" 5' 


-5312 


•847 3 


•626 9 


144 


82.52 


82-30' 


•9915 


•130 4 


7.602 


-58 


33-23 


33-14' 


-548 


•836 5 


•655 2 


146 


83.66 


83'39' 


•993 9 


•110 6 


8.989 


-M 


34.38 


34-23' 


-564 6 


■825 3 


•6841 


148 


84-81 


84-48 


•995 9 


■090 7 


10.983 


62 


35-52 


35-31' 


■5810 


•813 9 


•713 9 


150 


85-95 


85-57' 


■997 S 


•070 7 


14-110 


•64 


36.67 


36-40 


•597 2 


•802 1 


•744 5 


1.52 


87.10 


87-05' 


•998 7 


•050 8 


19-670 


•66 


37.82 


37-49' 


-6131 


■750 


•7761 


154 


88.25 


88-14' 


•999 5 


•030 8 


32-*61 


•68 


38-96 


38-58' 


•628 8 


■777 6 


•808 7 


156 


89.39 


89-23' 


■999 9 


•010 8 


92621 


-70 


40.11 


40-06' 


-644 2 


•764 8 


•842 3 


«/2 


90' 










•72 


41-25 


41-15' 


•659 4 


■7518 


•8771 














•74 


42-40 


42'24' 


•674 3 


■738 s 


•9131 














-76 


43-54 


43'33' 


■688 9 


•724 9 


•9505 














•78 


44-69 


44-41' 


•703 a 


•710 9 


•989 3 















130 



SP : § - 1970 



TABLE 10 POWERS AND SQUARE ROOTS 



NO. 


SQUARE 
X* 


Cube 


Fourth 

POWER 

X* 


Fifth 

POWER 
X* 


SgUARE 
ROOT 


S'JUARE 

UOOT OF 

RECIPROCAL 

1 


RKCIPROCAL 

OF SQUARE 
1 




1 
2 
3 

4 



1 
4 
9 
16 




1 

8 

27 

64 




1 

16 

81 

256 




1 

32 

243 

1024 


0000 000 
1000 000 
1.414 214 
1.732 051 
2000000 


8 
1-000 000 
0.707 107 
0.577 350 
500 000 


1.000-000 

0.250 000 000 
0.111 111 111 
0-062 500 000 


5 
6 
7 
8 


25 
36 
49 
64 
81 


125 
216 
343 
512 
729 


625 
1296 
2 401 
4096 

6 561 


3125 

7 776 

16 807 

32 768 

59 049 


2.236 068 
2449 490 
2-645 751 
2.828 427 
3 000 000 


0-447 214 
0.408 248 
0.377 964 
0-353 553 
0.333 333 


0-040 000 000 
0.027 777 778 
0.020 408 163 
0-015 625 000 
O-012 345 679 


10 
11 
12 
13 
14 


100 
121 
144 
169 

196 


1000 
1331 
1728 
2 197 
2744 


10000 

14 651 
20 736 
28 561 
38 416 


100000 
161051 
248 832 
371 293 
537 824 


3 162 278 
3.316 625 
3.464 102 
3-605 551 
3.741 657 


0.316 228 
0.301 511 
0.288 675 
0.277 350 
0-267 261 


o-OlO 000 000 
0008 264 463 
0-006 944 444 
0005 517 160 
DOS 102 041 


15 
16 
17 
18 
19 


225 
256 
289 
324 
361 


3 375 

4 096 

4 913 

5 832 

6 859 


50 625 

65 536 

83 521 

104 976 

130 321 


759 375 
1048 576 
1419 857 

1 889 568 

2 476 099 


3.872 983 
4-000 COO 
4.123 106 
4.242 641 
4.358 899 


258 199 
250 000 
0-242 536 
0-:^35 702 
0.229 416 


0004 444 444 
0-003 906 250 
0-003 460 208 
003 086 420 
002 770 083 


20 
21 
22 
23 
24 


400 
441 
484 
529 
576 


8000 

9 261 

10 648 

12167 

13 824 


160000 
194 481 
234 256 
279 841 
331776 


3200000 

4 084 101 

5 153 632 

6 436 343 

7 962 624 


4.472 136 
4.582 576 
4-690 416 
4-795 832 
4.858 575 


223 607 
218 218 
0.213 201 
0.208 514 
0.204 124 


0-002 500 000 

002 267 574 
0.002 066 116 

0001 890 359 
001 736 1 i 1 


25 
26 

27 
28 
29 


625 
676 
729 
784 
841 


15 625 
17 576 
19 683 
21952 
24 389 


390 625 
456 976 
531441 
614 656 
707 281 


9 765 625 
11 881 376 
14348907 
17 210368 
20 511 149 


5-000 000 
5 099 020 
5.196 152 
5.291 503 
5.385 165 


0.200 000 
0.196 116 
0.192 450 
0-188 Y82 
0.185 695 


0001 000 000 

001 479 290 
0-001 371 742 
0.001 275 510 

0001 185 061 


30 
31 
32 
33 
34 


900 

961 

1024 

1089 

1156 


27 000 
29 791 
32 768 
35 937 
39 304 


810 000 

923 521 

1 048 576 

1185 921 

1 336 336 


24300000 
28629151 
33 554 432 
39135393 
45435424 


5.477 226 
5.567 764 
5-656 854 
5-744 563 
5.830 952 


0.182 574 
0.179 605 
0.176 777 
0.174 078 
0.171 455 


0-001 111 111 
0-001 040 583 
0000 576 562 
0-000 518 274 
0.000 865 052 


35 
36 
37 
38 
39 


1225 
12% 
1369 
1444 
1S21 


42 875 
46 656 
50 653 
54 872 
59 319 


1500 625 
1679 616 
1 874 161 
2 085 136 
2 313 441 


52 521 875 
60 466 176 
69 343 957 
79 235 168 
90 224 199 


5 916 080 
t 000 000 
6082 763 
6.164 414 
6.244 998 


0169 031 
0.166 667 
0-164 395 
0-162 221 
0160 128 


000 816 327 
0000 771 605 
0-000 730 460 
0000 692 521 
0000 657 462 


40 
41 
42 
43 
44 


1600 
1681 
1764 
1849 
1936 


64 000 
68 921 
74 088 
79 507 
85 184 


2560000 

2 825 761 

3 111 696 
3 418 801 
3 748 096 


102 400 000 
115 856 201 
130 691 232 
147 008 443 
164 916 224 


6-324 555 
6.463 124 
6.480 741 
6-557 439 
6.633 250 


0.158 114 
156 174 
0-154 303 
152 459 
0-1 SO 756 


000 625 000 
0-000 594 884 
0000 566 853 
0000 540 833 
0000 516 529 


45 
46 
47 
48 
49 


2 025 
2 116 
2209 
2 304 
2401 


91125 

97 336 

103 823 

110 592 

117 649 


4 100 625 

4 477 456 
4'879 681 

5 308 416 
5 764 801 


184 528 125 
205 962 976 
229 345 007 
254 803 968 
282 475 249 


6-708 204 
6.782 330 
6.855 i55 
6.928 :03 
7-000 too 


0.149 071 
0.147 442 
0-145 865 
0144 338 
0.142 857 


0-000 493 827 
0000 472 550 
0-000 452 694 
000 434 028 
0-000 416 493 


50 


2500 


125000 


6250000 


312 500000 


7 071 069 


0.141 421 


0-000 400 000 



131 



(Continued) 



SP:8-1970 



TABLE 10 POWERS AND SQUARE ROOTS —Contd 



No. 


Squark 


Cube 


Fourth 


Fifth 


Square 


Square 


Reciprocaj, 


X 


x^ 


*» 


Power 


P OWER 


Root 


R OOT OF 


OF Square 








AT* 


*» 


yfj 


Reciprocal 

1 


1 

7* 


50 


2500 


125 000 


6250000 


312500000 


7 071 068 


0-141 421 


0-000,400 000 


51 


2 601 


132 651 


6 765 201 


345 025 251 


7141 428 


0.140 028 


0-000,384 468 


52 


2 704 


140 608 


7 311 616 


380204032 


7-211 103 


0138 675 


0-000,369 822 


53 


2809 


148 877 


7 890 481 


418 195 493 


7-280110 


0.137 361 


oaOO.355 999 


54 


2916 


157 464 


8 503 056 


459 165 024 


7-348 469 


0136 083 


0-000,342 936 


55 


3 025 


166 375 


9 150 625 


503 284 375 


7.416 198 


0.134 840 


0-000,330 579 


5«> 


3136 


175 616 


9 834 496 


550 731 776 


7-483 315 


0-133 631 


0-000,318 878 


57 


3 249 


185 193 


10 556 001 


601692 057 


7.549 834 


0132 453 


0-000,307 787 


58 


3 364 


195 112 


11 316 496 


656 356 768 


7.615 773 


0131 306 


0-000,297 265 


59 


3 481 


205 379 


12117361 


714 924 299 


7-681 146 


0.130 189 


0-000,287 274 


60 


3 600 


216 000 


12 960 000 


777 600 000 


7.745 967 


129 099 


0000,277 778 


61 


3 721 


226 981 


13 845 841 


844 596 301 


7.810 250 


0-128 037 


0-000,268 745 


62 


3844 


238 328 


14 776 336 


916 132 832 


7.874 008 


0.127 000 


0-000,260 146 


63 


3 969 


250 047 


15 752961 


992 436 543 


7.937 254 


0-125 988 


0-000,251 953 


64 


4 096 


262 144 


16777216 


1 073 741824 


8-000 COO 


0125 000 


0-000,244 141 


65 


4 225 


274 625 


17850625 


1160290625 


8062 258 


0124 035 


0-000,236 686 


66 


4 356 


287 496 


18974736 


1252332576 


8.124 038 


0-123 091 


0-000,229 568 


67 


4 489 


300 763 


20 151 121 


1350125107 


8.185 353 


01?2 169 


0-000,222 767 


68 


4 624 


314 432 


21 381 376 


1453933568 


8.246 211 


0121 268 


0-C00,216 263 


69 


4 761 


328 509 


22 667 121 


1 564 031 349 


8-306 624 


01 20 386 


0-000,210 040 


70 


4900 


243 000 


24 010 000 


1680700000 


8.366 000 


0-119 523 


000,204 082 


71 


5041 


357 911 


25 411681 


1 804 229 351 


8.426 150 


0118 678 


0-000,198 373 


72 


5184 


373 248 


26 873 856 


1934 917 632 


8.485 281 


0-117 851 


0~<10.;L92_9QI 


73 


5 329 


389 017 


28398241 


2 073 071 593 


8.544 004 


117 041 


0-000,187 652 


74 


5 476 


405 224 


29 986 576 


2219006624 


8.602 325 


0116 248 


O-000.182 615 


75 


5 625 


421 875 


31 640 625 


2 373 046 875 


8-660 254 


0115 470 


0-000,177 778 


76 


5 776 


438 976 


33 362 176 


2535525376 


8.717 798 


0114 708 


0-000,173 130 


77 


5 929 


456 533 


35 153 041 


2706784157 


8.774 964 


0.113 961 


0-000,168 663 


7» 


6 084 


474 552 


37015056 


2887 174368 


8.831 761 


0.113 228 


0-000,164 366 


79 


6 241 


493 039 


38 950 081 


3077056399 


8.888 194 


0112 509 


000,160 231 


80 


6 400 


512 000 


40 960 000 


3 276 800 000 


8.944 272 


0-111 803 


0-000,156 250 


81 


6 561 


531 441 


43 046 721 


3486784401 


9-000 000 


0111 111 


0-000,152 416 


82 


6 724 


551 368 


45212176 


3707398432 


9-055 385 


0-110 432 


0000,148 721 


83 


6 889 


571 787 


47 4.58 321 


3 939 040 643 


9.110 434 


0-109 764 


0-900,145 159 


84 


7 056 


592 704 


49 787 136 


4182119424 


9.165 151 


0-109 109 


0000,141 723 


85 


7 225 


614 125 


52 200 625 


4 437 053 125 


9.219 544 


0-108 465 


0-000,138 408 


86 


7 396 


636 056 


54700 816 


4 704 270 176 


9.273 618 


0-107 833 


0-000,135 208 


87 


7 569 


658 503 


57 289 761 


4984209207 


9.327 379 


0-107 211 


0-000,132 118 


88 


7 744 


681472 


59 969 536 


5277319168 


9-380 832 


106 600 


0-000,129 132 


89 


7 921 


704 969 


62742241 


5 584 059 449 


9.433 981 


106 000 


0000,126 247 


90 


8 100 


729 000 


65 610 000 


5904900000 


9.486 833 


105 409 


O-000.1 23 457 


91 


8 281 


753 571 


68 574 961 


6240321451 


9.539 392 


0.104 828 


0-000,120 758 


92 


^464 


778 688 


71639 296 


6590815232 


9.591 663 


0.104 257 


0000,118 147 


93 


8 649 


804 357 


74 80.5 201 


6956883693 


9-643 651 


0.103 695 


0-000,115 620 


94 


8 836 


830 584 


78 074 896 


7339040224 


9.695 360 


0.103 142 


0-000,113 173 


95 


9 025 


857 375 


81450 625 


7737809375 


9.746 794 


0-102 598 


0-000,110 803 


% 


9 216 


884 736 


84934656 


3153726976 


9-797 959 


0.102 062 


0-000,108 507 


97 


9409 


912 673 


88529281 


8587340257 


9-848 858 


0.101 53.5 


0-00RAfl6 281 


98 


9 604 


941 192 


92236816 


9039207968 


9.899 495 


0.101 015 


0-000,104 123 


99 


9 801 


970 299 


96 059 601 


9509900499 


9-949 874 


0.100 504 


0-000,102 030 


100 


10000 


1000000 


10000 000 


10000000000 


10000000 


0100 000 


0-000,100 000 



132 



SP:8 -197( 



TABLE 11 RECIPROCALS, ROOTS, FACTORIALS AND FACTORS 



No. 


Reciprocai. 


Cube 


Four t h 


Fifth 


Factorials 


Prime 


*■ 


llx 


Root 

^7 


Root 


Root 


*x! 


FACTORS 







0400000 


0-000 000 


0-000 000 


1 


1 


1 


1000 000 


1-000 000 


1000 000 


1-000 000 


1 


I 


2 


0-500 ooo 


1.259 921 


1-189 207 


M48 698 


2 


2 


3 


0-333 333 3 


1-442 250 


1.316 074 


1.245 731 


6 


3 


4 


0.250 000 


1-587 401 


1-414 214 


1-319 508 


24 


2 


5 


0.200 000 


1.709 976 


1.495 349 


1.379 730 


120 


S 


6 


0.166 666 7 


1-817121 


1-565 08.5 


1-430 969 


720 


2.3 


7 


0-142 857 1 


1-912 931 


1.626 577 


1.475 773 


5040 


7 


8 


0-125 000 


2-000 000 


1.681 793 


1-515 717 


40320 


2' 


9 


0-111111 1 


2.080 084 


1.732 051 


1.551 846 


362 880 


3* 


10 


0100000 


2.154 435 


1-778 279 


1.584 893 


3.628 800 


2.5 


11 


0-090 909 1 


2.223 980 


1-821 160 


1-615 394 


3.991 680 


11 


12 


0.083 333 3 


2-289 428 


1.861 210 


1-643 752 


4.790 016 


2«.3 


13 


0-076 923 -1 


2.351 335 


1-898 829 


1-670 278 


6.227 021 


13 


14 


0-071 428 6 


2-410 142 


1-934 336 


1-695 218 


8.717 829 


2.7 


15 


0-066 666 7 


2.466 212 


1.967 990 


1-718 772 


1.307 674 


3.5 


16 


0.062 500 


2-519 842 


2-000000 


1-741 101 


2.092 279 


2 


17 


0.058 823 5 


2-571 282 


2.030 543 


1-762 340 


3.556 874 


17 


18 


0.055 555 6 


2.620 741 


2.059 767 


1-782 602 


6452 374 


2.3 


19 


0.052 631 6 


2.668 402 


2-087 798 


1-801 983 


1.216 451 


14 


20 


0.050 000 


2-714 418 


2.114 743 


1.820 564 


2.432 902 


2».5 


21 


0-047 619 


2-758 924 


2.140 695 


1.838 416 


5-109 094 


3.7 


22 


0-045 454 5 


2.802 039 


2.165 737 


1-855 601 


1.124 001 


2.H 


23 


0-043 478 3 


2-843 867 


2-189.939 


1.872 171 


2.585 202 


23 


24 


0-041 666 7 


2.884 499 


2.213 364 


1.888 175 


6-204 484 


2'.3 


25 


0-040 000 


2.924 018 


2.236 068 


1-903 654 


1-551121 


5 


26 


0.038 461 5 


2.962 496 


2.258 101 


1-918 645 


4.032 915 


2.13 


27 


0.037 037 


3000 000 


2.279 S07 


1.933 182 


1.088 887 


3« 


28 


0-035 714 3 


3.036 589 


2.300 327 


1.947 294 


3.048 883 


2».7 


29 


0.034 482 8 


3-072 317 


2.320 596 


1.961 009 


8-841 762 


29 


30 


0-033 333 3 


3-107 233 


2-340 347 


1-974 350 


2.652 529 


2.3.5 


31 


0.032 258 1 


3.141 381 


2.359 611 


1-987 341 


8.222 839 


31 


32 


0.031 250 


3-174 802 


2.378 414 


2-000 000 


2.631 308 


2» 


33 


0-030 303 


3-207 534 


2.396 782 


2-012 347 


8.683 318 


3.11 


34 


O-029 411 8 


3.239 612 


2.414 736 


2-024 397 


2-952 328 


2.17 


35 


0.028 571 4 


3-271 066 


2.432 299 


2-036 168 


1.033 315 


5.7 


36 


0.027 777 8 


3-301 927 


2449 490 


2.047 673 


3.719 933 


2'. 3* 


37 


0.027 027 


3.332 222 


2466 326 


2-058 924 


1.376 37.5 


37 


38 


0.026 315 8 


3.361 975 


2482 824 


2-069 935 


5-230 226 


2.19 


39 


0.025 641 


3-391211 


2.498 999 


2.080 717 


2.039 788 


3.13 


40 


0-025000 


3.419 952 


2-514 867 


2.091 279 


8.169 153 


2*5 


41 


0.024 390 2 


3448 217 


2-530 440 


2-101632 


3-345 253 


41 


42 


0-023 809 5 


3.476 027 


2,545 730 


2-111786 


1-405 006 


2.3.7 


43 


0-023 255 8 


3.503 398 


2.560 750 


2-121747 


6.041 526 


43 


44 


0.022 727 3 


3-530 348 


2.575 510 


2.131 526 


2-658 272 


2M 


45 


0-022 222 2 


3.556 893 


2.590 020 


2.141 127 


2.196 222 


3«.5 


46 


0.021 739 1 


3-583 048 


2.604 291 


2-150 560 


5-502 622 


2.23 


47 


0-021 276 6 


3-608 826 


2.618 330 


2.159 830 


2-586 232 


47 


48 


0-020 833 3 


3.634 241 


2.632 148 


2.168 944 


1-241392 


2«.3 


49 


0-020 408 2 


3-659 306 


2645 751 


2.177 906 


6-082 819 


7 


50 


0.020 000 


3-684 031 


2.659 148 


2.186 724 


3-041 409 


2.5 



*If X is greater than 9, multiply by 10", where c is the characteristic of log xl 



133 



(Conlinued) 



SP: 8 - 1970 



TABLE 11 RECIPROCALS, ROOTS, FACTORIALS AND FACTORS — CoM/rf 



Beciprocai 



Cube 
Root 



Fourth 
Root 

^7 



Fifth 
Root 



Factorials 



Prime 
Factors 



50 
51 
52 
53 
54 



0.020 000 
0-019 607 8 

0.019 230 8 
0.018 867 9 
0-01 8 518 5 



3.684 031 
3.708 430 
3.732 511 
3.756 286 
3.779 763 



2'659 148 

2.672 345 
2.685 350 
2.698 168 
2-710 806 



2.186 724 
2-19S 402 

2.203 945 
2.212 357 
2.220 643 



3 041 409 

1.551 119 
8.065 818 
4-274 883 
2-308 437 



2.5 

3.17 

2M3 

53 
2.3 



55 
56 
57 
58 
59 



0.018 181 8 
0.017 857 1 
0017 543 9 
0017 2414 
0016 949 2 



3-802 952 
3.825 862 
3-848 501 
3.870 877 
3-892 996 



2.723 270 
2.735 565 
2-747 696 
2.759 669 
2-771 488 



2-228 807 
2-236 854 
2-244 786 

2.252 608 
2.260 322 



1-269 640 
7.109 986 
4-052 692 

2.350 561 
1-386 831 



5.11 
2».7 

3.19 
2.29 
59 



60 
61 
62 
63 
64 



0-016 666 7 
0.016 393 4 
0-016 129 
0-015 873 
0-015 625 



3-914 868 
3-936 497 

3.957 892 
3.979 057 
4-000 000 



2.783 158 
2.794 682 
2.806 066 
2.817 313 
2.828 427 



2.267 933 
2-275 443 

2.282 855 
2.290 172 
2.297 397 



8.320 987 
5.075 802 
3.146 997 
1-982 608 
1-268 869 



2'.3.5 

61 
2.31 
3«.7 

2 



65 
66 
67 
68 
69 



0.015 384 6 
0,015 151 5 
0.014 925 4 
0.014 705 9 
0-014 492 8 



4.020 726 
4-041 240 

4.061 548 
4.081 655 
4-101 566 



2.839 412 
2.850 270 
2.861 006 
2.871 622 
2.882 121 



2-304 532 

2311 579 
2.318 542 
2.325 422 
2.332 222 



8.247 651 
5443 449 
3.647 111 
2.480 036 
1-711225 



5.13 
2.3.11 
67 
2'.17 

3.23 



70 
71 
72 
73 
74 



0.014 285 7 
0.014 084 5 
0-013 888 9 
0013 698 6 
0-013 513 5 



4.121 285 
4.140 818 
4.160 168 
4-179 339 
4-198 336 



2.892 508 
2-902 783 
2.912 951 
2.923 013 
2.932 972 



2.338 943 
2.345 588 
2-352 158 
2.358 656 
2.365 083 



1-197 857 
8.504 786 
6-123 446 
4-470 115 
3-307 885 



2.5.7 
71 
2».3« 

73 
2.37 



75 
76 
77 
78 
79 



0.013 333 3 
0.013 157 9 
0.012 987 
0-012 820 5 
0-012 658 2 



4.217 163 
4.235 824 
4-254 321 
4-272 659 
4-290 840 



2.942 831 
2.952 592 
2-962 257 

2.971 828 
2.981 308 



2-371 441 

2377 731 
2.383 956 
2.390 116 
2.396 213 



2,480 914 
1-885 495 
1-451 831 

1-132 428 
8.946 182 



3.5 
2M9 

7.11 
2.3.13 
79 



80 
81 
82 
83 
84 



0-012 500 
0-012 345 7 
0.012 1951 
0-012 048 2 
0011 904 8 



4.308 869 
4.326 749 
4.344 481 
4.362 071 
4-379 519 



2.990 698 
3-000 000 
3-009 217 
3-018 349 

3.025 400 



2-402 249 
2-408 225 

2.414 142 
2-420 001 
2-425 805 



7-156 946 
5-797 126 

4.753 643 
3.945 524 
3.314 240 



2*.S 
3* 

2.41 
83 
2'.3.7 



85 
86 
87 
88 
89 



0-011 7647 
0-011627 9 
0.011 494 3 
0-011363 6 
0-011236 



4.396 830 
4.414 005 
4.431 048 
4447 960 
4-464 745 



3.036 370 
3.045 262 
3.054 076 
3-062 814 
3.071479 



2-431 553 
2-437 248 

2442 890 
2-448 480 

2.454 019 



2.817 104 
2.422 710 
2-107 757 
1-854 826 

1-650 796 



5.17 
2.43 
3.29 
2».]1 



90 
91 
92 
93 
94 



0-011111 1 

0010 989 
0-010 869 6 
0010 752 7 
0-010 638 3 



4.481 405 
4.497 941 
4.514 3.57 
4.530 655 
4.546 836 



3 -080 070 
3-088 591 

3.097 041 
3-105 423 

3.113 737 



2.459 509 
2.464 951 
2.470 345 
2.475 692 
2480 993 



1-485 716 
1-352 002 
1-243 841 
1.156 773 
1-087 366 



2.3V5 

7.13 

2*.23 

3.31 

2.47 



95 
96 
97 
98 
99 



0010 526 3 

0.010 416 7 
0-010 309 3 
0.010 204 1 
0.010 1013 



4.562 903 
4.578 857 
4.594 701 
4.610 436 
4.626 065 



3.121 986 
3.130 169 
3-138 289 
3.146 346 
3-154 342 



2.486 250 
2.491 462 
2.4% 631 
2.501 758 
2.506 842 



1-032 998 
9-916 779 
9.619 276 
9-426 890 
9-332 622 



5.19 
2'.3 
97 
2.7 
3'.11 



100 0010 000 4-641589 3.162 278 

*Multii)ly by 3 Oc, where c is the characteristic of log x ! 



2.511 



9.332 622 



2'. 5' 



134 



SP : 8 - 1970 



TABLE 12 MATHEMATICAL CONSTANTS 



Constant 


Number 


LOG 


Constant 


Number 


LOG 


K 


3-141 592 7 


0.497 15 


1 

re 


0-318 309 9 


9-502 85 


lit 


6.283 185 3 


0-798 18 


1 

2re 


0-159154 9 


9.201 82 


2 


1-570 796 3 


0-196 12 


2 

re 


0-636 619 8 


9-803 88 


X 

4 


Q-785 398 2 


1 9.895 09 


4 

re 


1.273 239 5 


0104 91 


4ic 
3 


4-18« 790 2 


0-622 09 


3 


0-620 350 5 


9.792 64 


ir" 


9-869 604 4 


0.994 30 


1 

re« 


0.101 321 2 


9 005 70 


V" 


1-772 453 8 


0.248 57 


1 


0-564189 6 


9.751 42 


V2^ ' 


2-506 628 3 


0-399 09 


1 

V2^ 


0.398 942 3 


9.600 91 


J\ 


0-886 226 9 


9-947 54 


2 


1.128 379 2 


0-052 46 


Jl 


1-253 314 1 


0-098 06 


Jl 


0.797 884 6 


9.901 94 


e 


2-718 2818 


0.434 29 


«-l 


0-367 879 4 


9-565 71 


«« 


7.589 056 1 


0-868 59 


«-• 


0-135 335 3 


9.131 41 


V' 


1.648 721 3 


0-217 15 


e-t 


0-606 530 7 


9.782 85 


eT 


23.140 692 6 


1-364 38 


»-re 


0-043 213 9 


8.635 6: 


K 


4.810 477 4 


0-682 19 


-re 


0.207 879 6 


9.317 81 


V2 


1-414 213 6 


0-150 51 


Vi 


0-707 106 8 


9.849 49 


V3 


1.732 0.50 8 


0-238 56 


^10 


2-154 434 7 


0-333 33 


Vio 


3.162 277 6 


0-500 00 


^100 


4-641 588 8 


0.666 67 


Jtf=log« 


0-434 294 5 


9.637 78 


M-^" 1" 


2.302 585 1 


0.362 22 


Y 


0.577 215 7 


9.761 33 


In re 


1-144 729 9 




1 radian 


57.295 779 


1.758 12 


1* 


0-017 453 3 


8.241 88 


'- 


3 437'-746 77 


3-536 27 


1' 


0-000 290 9 


6463 73 




2 062 641-181 


5-314 42 


1' 


0-000004 8 


4.685 57 



*For actual values of log for fractions, subtract 10. 



135 



As in the Original Standard, this Page is Intentionally Left Blank 



SECTION 2 

PHYSICAL AND CHEMICAL TABLES 

(TABLES 13-3!) 



As in the Original Standard, this Page is Intentionally Left Blank 



SP:8-1970 



Earth 
Moon 



Sun 



TABLE 13 EARTH, SUN AND MOON 



Mean Radius 
cm 



6 368 X 10» 
1738xlO» 

6.963 5x10" 



Density 

5-52 
3-33 

t-408 9 



Distance of Earth from Sun =147 to 152=10* km. 
1 



Mean solar second= 



of mean solar day. 



MASS 

5.977 X 10" 
7.180 

1.993 X 10" 



Mass (Earth = 1) 

1 

1 



81-5 

3.3X10" 



Gravity at 
Equator 

(Earth = 1) 

1 
1 



604 

2.741 Ox 10* em's* 



Distance of Moon from Earth=384 700 km. 



86 40O 

Sidereal day =23 h 56 m 4*1 s. 

Mean synodical or lunar month =29-531 mean solar days. 

Tropical and civil year =365'242 195 7 mean solar days. 



Equator 

Madras 

Calcutta 

Sydney 

Tokyo 

Mellbourne 

Washington 

New York 

Wellington ( 

Chicago 

Toronto 



TABLE 14 GRAVITATION 
Acceleration (g) due to Gravity and Length (i^) of Seconds Pendulum 



Latitude 


cm/s' 


L 

cm 


o-o' 


978.030 


99.094 


13°4'-1 


978.277 


99.12 


22 32'-8 


978-815 


99-175 


-33°51'-7 


978.684 


99.161 


35 42'-6 


978-801 


99.275 


-37 49'-9 


979.987 


99(293 


38°53'-2 


980.112 


99.206 


40 48'-S 


980-247 


99.320 


-41°17'-1 


980.27 


99.322 


41 50-0 


980-283 


99.323 


43 39--6 


980-46 


99.341 


45° 0' 


980.616 


99.357 





Latitud S 


e 

cm/s^ 


L 

cm 




hfontreal 


45° 30'-3 


980.672 


99.363 




Paris 


48°50'-2 


980943 


99.390 




Greenwich 


51°28'-6 


981.188 


99-415 




London 


5r31'-l 


981.199 


99.416 




Cambridge 


52 12'-9 


981.25 


99.419 




Dublin 


53 23'-2 


981-36 


99-433 




Liverpool 


53° 24'-) 


981.35 


99.431 




Glasgow 


55°51'-5 


981.605 


9 9.458 


Edinburgh 


55 57'-4 


981584 


99.455 




Aberdeen 


57 9 


981.68 


99.460 




Leningrad 


59 6-5 


981.929 


99-490 




North Pole 


90 


983.216 


99620 





Attraction of two masses, each 1 gram, concentrated at points 1 centimetre apart (G) 6.658 xlO"* dynes. 

Mass which, concentrated 1 centimetre apart from equal mass, will give attraction of 1 dyne — 3 872 grams. 



139 



SP: 8 - 1970 



TABLE 15 PROPERTIES OF ELEMENTS 



Element Symbol 



Density Atomic Atomic First Valency Electro- 
(g/cm») Weight No. Ioniza- CHEMICAL. 

(1961) TION Equivalent 

Potential (g/kilo- 

coulomb) 



Melting Boiling 
Point Point at 
(°C) 760 mmHg 

(°C) 



(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


Aluminium 


Al 


2.698 9 

(20%) 


26.981 5 


13 


5.96 


3 


0-093 16 


659-7 


2 057 


Antimony 


Sb 


6-691 


121.75 


51 


8.5 


3,5 


/0-420 59 
\ 35 


630-5 


1380 






(20%) 














Argon 


Ar 


0-001 78 
(3°C) 


39.948 


18 


15-68 





xs::-93 


-189-2 


-185-7 


Arsenic 


AS 


5-73 


749216 


33 


10-5 


3, 5 


f 0.258 76 
\0-152 54 


814 


615 






(15°C) 












(sublimes) 


Barium 


Ba 


3-5 

(25°C) 


137-34 


56 


5-19 


2 


0-711 71 


725 


1140 


Berylium 


Be 


1-848 


9.012 2 


4 




2 


0-046 74 


1278±S 


2 970 


Bismuth 


Bi 


9.747 


208.980 


83 


8-00 


3,5 


f 0-721 93 
\0-433 16 


271-3 


1 560±5 




















Boron 


B 


2-37 


10-811 


5 


8-257 




0-037 37 


2300 


2 550 


Bromine 


Br 


3.12 


79-909 


35 


11-80 


I, 3.35, 7 


0828 15 


-7-2 


58-78 


Cadmium 


Cd 


8-65 
I (20°C) 


112-40 


48 


8-976 


2 


0582 44 


320-9 


767+2 


Cesium 


CS 


-873 
(20°C) 


132.905 


55 


3-87 


I 


1-377 31 


28-5 


670 


Calcium 


Ca 


1-55 


40-08 


20 


6.09 


2 


0-207 67 


842 


1240 


Carbon 


C 


2.22 


12.011 15 


6 


IL217 


2,4 


ro.031 11 
\0-062 23 


>3 50O 


4200 


Cerium 


Ce 


6.47 


140.12 


58 


6.54 


3.4 


J 0-484 04 
\0.363 4 


804 


1400 


Chlorine 


CI 


0.003 22 


35-453 


17 


12952 


I. 3, 5, 7 


0-367 43 


-103±5 


-34.6 


Chromium 


Cr 


6.92 


51996 


24 


6.74 


0.179 65 


1890 


2 480 






(22°C) 










0.089 83 






Cobalt 


CO 


8-9 


58-933 2 


27 


7 81 


2.3 


0-305 39 

0.204 1 


1495 


2900 


Columbium 


Cb 


8-5 


92-906 


41 





5 


0.192 56 


2 500±50 


3700 


(Niobium) 




















Copper 


cu 


8.96 


6354 


29 


7-68 


1,2 


0-658 76 
0-329 38 


1083 


2 336 


Dysprosium 


Dy 


8.53 


162-50 


66 


6-8 


3 


0-560 69 


— 


— 


ErV.ium 


Er 


9-05 


167-26 


68 




3 


0-579 07 




— 


Europium 


Eu 


5.259 


151.96 


63 


5.64 


3 


0-525 04 


1 150 + 50 


— 


Fluorine 


F 


0-001 69 


18.998 4 


9 


17.34 


1 


0.196 89 


-223 


-188 


Gadolinium 


Gd 


7-895 


157-25 


64 


6-7 




0.541 79 


— 





Gallium 


Ga 


5-907 


69.72 


31 


5-97 


233 


0-240 83 


29-78 


1983 


Germanium 


Ge 


5.323 


72-59 


32 


8.09 




0.188 08 


9585 


(2 700) 


Gold 


Au 


19-32 


196.967 


79 


9.18 


IfS 


2.043 52 
0.681 17 


1063 


2 600 


Hafnium 


Hf 


13.29 


178.49 


72 


— 


4 


0-462 69 


1700 
(computed) 


7 320 


Helium 


He 


0000 179 
atO°C 

(colour gas) 


4-002 6 


2 


24.46 





0-041 47 


-272 
(26 atm) 


-268.9 


Holmium 


Ho 


8-803 


164-930 


67 


— 


3 


0.569 74 


— 


— 


Hydrogen 


H 


0-000 089 9/ 
0° (gas) 


I -007 97 


I 


13.527 


1 


0.010 446 


-259-14 


-252-8 


TnOium 


In 


7.31 


114-82 


49 


5-76 


3 


0.396 41 




2000±10 


Iodine 


I 


4-93 


126.904 4 


53 


10.6 


1,3,5,7 


1.315 23 


113-7 


184-35 


Iridium 


Ir 


22.42 


192.2 


77 


— 


3,4 


0-SOO 26 


2 454 


>4 800 


Iron 


Fe 


7-74 


55.847 


26 


7-83 


2,3 


0-289 38 
0-192 91 


1535 


3000 


Krypton 


Kr 


0-003 73/0° 


83.80 


36 


13.936 


. 


0-867 36 


-156.6 


-152-9 


Lanthanum 


La 


6-15 


138.91 


57 






0-479 86 


826 


— 


Lead 


Pb 


11-35 


207-19 


82 


5.-S8 


234 


I -073 63 
0-536 81 


327.43 


1620 


Lithium 


Li 


0.534 


6.939 




5-363 


1 


0-071 92 


186 


1336±5 


Lutetium 


LO 


9.872 


174-97 


7: 


— 


3 


0.604 46 


— 


— 


(Cassiopeium) 




















Magnesium 


Mg 


1-738 


24.312 


12 




2 


0.126 01 


651 


1107 


Manganese 


Mn 


7-21 to 
7-44 


54.938 


25 


7.41 


2,3.4, 
6, 7 


0.284 61 
0.184 230 


1260 


1900 


Mercury 


Hg 


13.546 


200.59 


80 


10-39 


1,2 


2.078 86 
1-039 43 


-38.87 


356.58 
{Contintied) 



140 



SP:8-1970 



TABLE 15 PROPERTIES OF ELEMENTS 



• Contd 



ELEMENT 


Symbol DENSITY 


Atomic 


Atomic First Valen' 


CY ELECTRO- 


Melting 


Boiling 






(g/cm») 


Weight 


No. 


IONIZA- 




CHEMICAl, 


Point 


POINT AT 








(1961) 




TION 
Poten- 
tial 




Equivalent 

(g/kilo- 

coulomb) 


(°C) 


760 mmHs 
(°C) 


(1) 


(2) 


'3) 


(4) 


(S) 


(6) 


(7) 


(8) 


(9) 


(10) 


Molybdenum 


Mo 


10-22 


95-94 


42 


7-35 


3, 4. 6 


0.248 7 
0-165 80 


2 620 ±10 


4800 


Neodynium 


Nd 


6.80 


144.24 


60 


6-3 


3 


0-498 34 


840 


— 


Neon 


Ne 


0-000 9 


20-183 


10 


21-47 





0-209 15 


-248-67 


-245-9 


Nickel 


Ni 


8.902 


58.71 


28 


7.61 


2,3 


0-304 09 

0.202 7 


1455 


2 922 


Niobium 


Nb (see 

(Colum- 

bium) 




~ 


" 


- 


" 


~ 


" 




Niton 


Rn 
Radon) 


(see ■~ 


_> 




■~- 


*"* 








Nitrogen , 


N 


0-001 25 


14-006 7 


7 


14-48 


3,5 


0-048 387 

0.029 032 


-209.86 


-195-8 


Osmium 


Os 


22-57 


190.2 


76 


(8-71 


2, 3. 4, 
6,8 
2 


0-496 11 


2700 


>5 30p 


Oxyqen 





0-00144 


15.999 4 


8 


13-55 


0.082 902 


-218-4 


-18286 


Palladium 


Pd 


12.02 


106.4 


46 


8.3 


2,4,6 


0.552 8 
0.276 42 


1 549-4 


2200 


Phosphorus 


P 


1.82 


30973 8 


15 





3.5 


0.107 1 
0.064 21 


441 


280 


Platinum 


Pt 


21 -4S 


195-09 


78 


8-88 


3,4 


0-505 78 


1 773-5 


4300 


Potassium 


K 


0.862 


39.102 


19 


4-318 


1 


0-405 14 


62.3 


760 


Praseodymium 


Pr 


6.782 


140.907 


59 


5-8 


3 


0-486 77 


940 


— 


Proto- 


Pa 


15.37 


231 


91 


— 





0-598 45 


.^ 




actinium 




















Radium 


Ra 


— 


226 


88 


5.252 


2 


1.172 24 


700 


1 140 


Radon (Niton) 


Rn 


0009 73 


222 


86 


10-698 





2.300 52 


-71 


-61.8 


Rhenium 


Re 


21-02 


186.2 


75 


— 


— 


0-275 81 


3 167 + 60 ~ 


Rhodium 


Rh 




102-905 


45 


7-7 


3 


0-266 61 


1966±3 


>2 500 


Rubidium 


Rb 


12-41 1,532 


85.47 


37 


4.159 


1 


0-885 80 


38-5 


700 


Ruthenium 


Ru 


12.41 


101 07 


44 


7-7 


3, 4, 6. 8 


0.263 47 


2 450 


2 700 


Samarium 


Sm 


7.536 


150-35 


62 


6-6 


2,3 


0.519 62 


>1300 


— 


Scandium 


SC 


2.992 


44-956 


21 


6-7 


3 


0-155 79 


1200 


2 400 


Selenium 


Se 


4-8 


78-96 


34 


9-70 


2,4,6 


0-136 37 


217 


688 


Silicon 


Si 


2-33 


28-086 


14 


8.12 


4 


0-072 69 


1 420 


2600 


Silver , 


Ag 


10.503 


107.87 


47 


7.542 


1 


1-117 93 


960. S 


1950 


Sodium 


Na 


0.971 


22.989 8 


11 


5-12 


1 


0.238 3i 


97-5 


880 


Strontium 


Sr 


2-54 


87-62 


38 


5-^67 


2 


0.454 04 


774 


1 150 


Sulphur 


S 


2-07 


32-064 


16 


10-30 


2,4,6 


r0.166 11 
< 0.083 05 
1.0-055 37 


112.8 
to 119.25 


444.6 


Tantalum 


Ta 


16.6 


180.948 


73 


— 


5 


0.374 88 


2 996 + 50 


Ca4 100 


Tellurium 


Te 




127.60 


52 


8-96 


2,4,6 


0.220 40 


452 


1 390 


Terbium 


Tb 


8.24 8.!! 


158.924 


65 


6-7 


3 


0.549 91 


327 + 5 


— 


Thallium 


Tl 


11.85 


204.37 


81 


6-07 


1,2 


0.706 01 


362 


1457 + 10 


Thorium 


Th 


11-30 


232.038 


90 


— 


4 


0.601 35 


1 845 


4 500 


Thulium 


Tm 


9.33 


168.934 


69 


— 


3 


0.585 15 








Tin 


Sn 


7.31 


118.69 


50 


7-30 


2,4 


0.615 03 


231-89 


2 270 


Titanium 


Xi 


4.54 


47-90 


22 


6.81 


3,4 


0.124 01 


1 800 


>3 000 


Tungsten 


W 


19-3 (20°C) 


183.85 


74 


8.1 


6 


0.317 79 


3 370 


5900 


Uranium 


u 


18-95 


238.03 


92 


— 


4,6 


0.411 17 


1132 + 1 


3 818 


Vanadium 


Xe 


6.11 


50-942 


23 


6-71 





0-105 60 


1710 


3 000 


Xenon 


Yb 


O-OOS 6.9T/ 85 


131.30 


54 


12-08 


2,3 


0.59? IJO !2 i 


-112 


-107.1 


Ytterbium 






173.04 


70 


7-1 


, 




1 800 





Yttrium 


Y 


4-4s 


88.905 


39 


6-5 


3 


0.307 15 




2 500 


Zinc 


Zn 


7.133 


65-37 


30 


9-36 


2 




1 4B9.47 


907 


Zirconium 


Zr 


6.53 


91.22 


40 


6.92 


4 


0.236 0.338 !5 32 


1857 


>2 900 



141 



SP: 8 - 1970 



TABLE 16 PROPERTIES OF SOLIDS 



Substance 



Density* SPECIFIC Muting Latent 
g/cm» Heat* Point Heat of 

cal/g/'C ("O FusiOTf 

cal/g 



(1) 
Aluminium 
Antimony 
Bismuth 
Brass 

Carbon (Graphite) 
Cobalt 

Constantan 

Copper 

Cork 

German Silver 

Glass 

Gold 

Ice 

Indian Rubber 

Invar 

Iroit (Cast) 

Iron (Wrought) 

Lea4 
Magnalium 

Manganin 
Marble 

Naphthalene 
Nickel 

Paraffin Wax 

Phosphor Bronze 

Platinoid 
Platinum 

Quartz 



Silver 

Sodium 

Sulphur (Rhombic) 

Tin 

Zinc 



(2) 
2.699 
6.618 
9-80 

8-44 to 

8.7 

2-25 

8-71 

(21 °C) 

8-88 

8-92 

0-22 to 
0.26 

8-30 to 
8-45 

2.4 to 
2-8 
19-3 

0.917 

0-91 to 
0-93 
80 

7.03 
7-73 

7-8 
7-9 

11.347 

2.00 to 
2-50 

2-6 to 
2-84 



8-60 to 

8-90 

0-87 to 

0.91 

8.7 to 

8-80 

21-37 

2.65 



(3) 
0.214 

0051 3 
(100°C) 

0.029 4 

00917 
(20°C- 
100°C) 

0.17 
0-1001 

0.102 

0.092 1 

0.49 

0094 
(0°C) 
0161 

(i(j8'c-so°C) 

0316 

0.530 
(-10°C) 
0-481 
( + 100°C) 
012 
(15°C-100°C) 
to 0118 9 
(20°C-100°C) 
to 0-115 2 
(IS'C-IOCC) 
0-306 



(4) 

659.7 

630-5 

271-3 

905 to 
1030 

>3 500 
1495 

1 280 

1083 

1100 

1100 

1063 





0-95 
0.21 
(0°C-100°C) 
0-313 
0-105 

0.693 9 
(0''C-20°C) 



0.324 

(20°C) 

0.188 

(12°C-188°C) 



10-503 

0-971 2 

2-0 to 
2-1 
7-3 

7-13 



0-05S 8 

0-295 

$176 
(15'C-96°C) 
0057 7 
(lOO'C) 
0092 5 



1 53.5 
327.43 

651 

1453 

55 
750 

1 773-5 



960.8 

97-5 

112.8 

231-89 

419.47 



(5) 

76.8 

39 

12.64 



58 



42 



15-8 



5.86 



73-8 

42.3 

27-2 



21.07 

31.7 

13.2 

14.0 

2813 



COEFFl- Thermal Electrical 

CIENT OF CONDUCTI- RESIST- 
LlNEAR VITY* ANCE* 

Expansion cal/ctn* s{ Micro OHM 

xlO* (°C/cm) 



(6) 
0-225 
0-115 
0157 
0178 

0-079 
0123 

0-145 

0-167 

0.184 

0-093 to 
0002 5 

0-142 



0009 
0004 

0.119 
0-28 



(7) 

0-492 
(lOOX) 

0-040 
(lOO'C) 

001 6 1 
(100°C> 

0-246 

(0°C) 

0-012 



0-064 

(100°C) 

0908 
(lOOX) 

0-000 13 
to O-00072 

0-089 
(100°C) 



O-703 
(100°C) 
0.002 2 



0-128 



0089 



0-19 
0-61 

0.66 
0-22 

0.26 



*The values are at 20°C or at other temperatures indicated. 



0-138 
(lOO'C) 
0-000 23 

(OX) 



0-177 3 
(100°C) 
0030 

parallel to 
axis 

—0-16 per- 
pendicular 
to axis 
0-992 
(100°C) 
1000 

0-36 

0145 
(100°C) 

0-261 9 
(100°C) 



(8) 

2-828 
41-7 

120 

7 
(0°C) 



9-8 



1.692 



33 



2-44 



0-000 45 — 



0.108 
(lOOX) 

0143 
(100°C) 

0-082 22 

(100°C) 



0.631 44 

0.007 1 



7-8 



10-5 



10 



1-59 

4-3 

(0°C) 



11-5 

5-75 



Tem- 
perature 
Coeffi- 
cient OF 

RESIST- 
ANCE* 

(9) 

39 

(IS'C) 
36 

40 

20 



33 

(0°C) 
002 

(25°C) 

43.3 



34 



20 



43 



0.01 



60 

(0°C) 



40 

(O'C) 

30 



38 



42 
37 



142 



SP: 8 - 1970 



TABLE 17 PROPERTIES OF LIQUIDS 

Substance Den- Sur- Visco^ Specific Boil- Latent Freez- Cokwi- Thermal Elec- Index of 

SITY FACE SITV* HEAT* ING HEAT OF ING CIEMT OF CONDUC- TRICAL ReFRAC- 

(g/cm») Tension (Dynes (caI,,/g/°C) Point V*pori- Point Cubical tivity* Resist- tion 

WITH per sq cm (°C) zation (°C) Expansion cal/cm* s/ ance 

Air* per unit at bp (°C/cm) (ohms/ 

(Dynes vel. cal/g cm*) 
per cm) gradl 

(1) (2) (3) (4) (S) (6) (7) (8) (9) (10) (11) (12) 

Alcohol 0-791 22-75 0-012 00 0-406 78-3 204 -114-6 0001120 0000423 — 1-36 

(ethyl) (90X) 

Benzene or 0-899 28-85 0-006 52 0-260 80-2 94-3 5-56 0-001199 0000 333 — 1-50112 

(benzole) (0°C) (80°C) (5°C) 

Bromine 3-12 41-5 0-009 95 0-055 63-1 43-7 -7-2 0001 237 -- — — 

(19-5°C) (19°C) 

Carbon bi- 1-261 32-33 0-003 63 0-157 46-2 84-9 -111-8 0-001218 0-000 343 — 1-629 50 

sulphide (80°C) (9''-15°C) (18°C) 

Chloro- 1-489 27-14 0005 8 0-234 61-2 61 -63-5 0-001273 0000 288 — 1-446 43 

form (9°-15°C) (18°C) 

Ether 0-736 17-01 0-002 332 0-4619 34-6 83-9 -116-3 0001656 0000 303 — 1-349 7 

(ethyl) (0°C) (27°C) (9°-15°C) (24-8°C) 

Glycerine 1-260 63-4 14-90 0-669 291 — 17-9 000 505 0000 637 — 1-472 9 

(O'C) (100°C) (9°-15°C) 

Hydrochlo- 1-639 — — 0964 — — -112 — _ _ 1-256 

ric acid (0°C) (18°C) 

Mercury 13:6 487 0015 54 0-033 25 356-9 65 -38-87 0-000181 — 0000 783 — 

tlS'C) (20''C) 

Nitric acid 1-502 42-7 0017 70 0-963 86 114-9 -42 _ _ _ 1-397 

(11-6°C) (WC) (IS^C) (16-4°C) 

Nitro- 1-21 43-9 0-020 3 0-339 _ _ 5.7 _ _ _ 1-552 91 

benzene (30°C) 

Olive oil 0-918 32 0-840 0-471 _ _ _ 0-000 721 0-000 395 — — 

(1S°C) (6-6°C) 

Sulphuric 1-834 551 0-254 0-956 330 1221 «-62 0-000 558 — — 1-429 

acid (2rC) 

Turpentine 0-87 — 0-014 87 0-411 159 — — 0-000 973 0-000 325 — — 

(O^C) 

Water 100 7275 0-010 050 0-998 83 100 539-55 0-00015 0-00144 — 1-333 

(10°-20°C) (IS'C) 



♦The values given are at 20°C or at other temperatures indicated. 



143 











TABLE 18 PROPERTIES 


OF GASES AND VAPOURS 












CO 

• • 

00 








(Where not otherwise 


specified the 


various 


columns refer to gases at 0°C and 760ininHg pressure) 








DE N- 


Mean 


Mean Free 


No. OF 


VISCOSITY 


Crit- 


Crit- 


Criti- 


Boil- 


SOLI- 


Heat 


speci- 


Ra t 1 


Ther- 


Index OF 


1 




SITY 


VELO- 


Path of 


Coi. I- 


IN Dynes 


ical 


ical 


cal 


ing 


DIFI- 


OF 


fic 


OF 


mal 


Refrac- 






g/litre 


CITY OF 


Mole- 


SIONS PER 


PER sq 


Temp. 


Pres- 


Vol ume 


Point 


CATION 


Vapori- 


Heat 


Speci- 


CON- 


tion FOR 


^ 






Mole- 


cules 


Second 


cm 


("C) 


sure 


(vc) 


"C 


Temp. 


zation 


(Const- 


fic 


DUCTI- 


D Lines 


o 






cules 


AT 


20°C 


PER Unit 


e' 


A TNT P 


atO°C 




°C 


cal/g 


ant 


He A T s 


VITY 


(X=S893 








cm/s 


750 mmHg 
cm 




Vel. Grad 




(pc) 










PRES- 
SURE) 

cal/g 


1S°C 


xlO-' 


X 10-' cm) 




(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) 


(12) 


(13) 


(14) 


(15) 


(16) 




Acetylene 


1173 


— 


— 


— 


— 


36 


62.0 


0006 9 


-83-6 


-81.8 


— 


0.411 9 


1-26 


0-45 


1-000 606 




Air 


1-292 9 


44700 


8-3 X 10- 


5 386 X 10' 


0000x172 


-140.7 


37-2 


0.004 68 


-190 


— 


50-97 


0-24 


1-40 


— 


1.000292 6 




Ammonia 


0-771 


58 300 


S-92xl0-« 


9 150x10' 


0.096 X 10- 


132.4 


111-5 


0004 81 


-33.35 


-77-6 


327.1 


0.523 2 


1-31 


0-48 


1-000 373 to 
1-000 379 




Argon 


1-783 7 


38 100 


8.98 X 10- 


4000x10 


0.211 X lO-J 


-122 


48 


0.004 04 


-185-7 


-189.2 


37.6 


0133 


1-668 


0.388 


1-000 281 




Carbon Di- 
oxide 


1-976 9 


36 200 


5.56 X 10-« 


4 540x10* 


0139xl0-J 


31-1 


730 


0.006 6 


-78-5 


-56.6 


55 


0.184 


1.304 


0.332 


l-OOQUSto 
1000 454 




Carbon 
Monoxide 


1-2504 


45 400 


8-46 X 10- 


6 120x10' 


0163 X 10-' 


-1390 


350 


0-005 OS 


-190 


-207 


50.4 


0-259 


1404 


0.542 


1-000 335 




Chlorine 


3-214 


28 200 


4.6 X 10-« 


6 130x10* 


0.129 7 X 10-' 


144 


76-1 


0006 15 


-34-6 


-103 ±5 


6 7 


0,114 9 


1-355 


0-17 


1000 773 




Cyanogen 


2-335 


33 300 


40xl0-» 


8 320x10' 


0-107 xlO-J 


128 


59 


0.009 24 


-20.7 


-35 


.^^ 


0-409 5 


. . 


— , 


1000 784 to 




^ Ethylene 
■^ Helium 






























1000825 




1-260 4 


48 800 


5-47 xlO-s 


8 921x10* 


0-096 IXlO-* 


9-7 


50-9 


0007 52 


-103.9 


-169.4 


— . 


0.364 


1-255 


0-395 


1-006 74 




0-178 47 


120 800 


25.25 xl0-« 


4 540x10' 


0-204 X 10- 


-267.9 


2-26 


0.002 99 


-268-9 


-272 


6 


1-25 


1-66 


3-3 


1-000 036 




Hydrogen 


O-089 88 


169 600 


16.00 xl0-« 


10 060x10' 


0085 7 X 10- 


-239.9 


12-8 


0-002 64 


-252.8 


-259.14 


108 


3.41 


1-41 


4-16 


1-000132 




Hydrogen 


1-639 2 


43 000 


6-86x10-* 


6 269 X 10* 


0-001 38 


51.4 


81-6 


O0OS2 


-84.1 


-112 


98 


0.194 


1-40 


__ 


1-000444 




Chloride 


































Hydrogen 


1-539 


44 400 


5-9 x 10-* 


7 525X10' 


0-118x10-* 


100.4 


88.9 


0005 78 


-61-8 


-82.9 


131.9 


0.245 


1-32 


0-287 


1-000 623 




Sulphide 


































Methane 


0-716 8 


59 700 


80xl0-» 


7 462x10* 


0-104x10-' 


-82-5 


45-8 


0-004 88 


-161-5 


-184 


^ 


0-53 


1-31 


0-72 


1-000444 




(Marsh Gas- 


































Fire Damp) 


































Nitric Oxide 


1-340 2 


47 600 


9.06 X 10-' 


5 254X10' 


0179 X 10-' 


-94 


65 


0003 47 


-151-8 


-163-6 


— 


0.232 


1-40 


0-46 

(8°C) 


1000 297 




Nitrous Oxide 


1-977 8 


39 200 


6-1x10-* 


6 427 X 10' 


0-135 xlO-a 


36-5 


71-7 


0-004 36 


-88-49 


-102.4 


57 

(-20°C) 


0.213 


1-303 


0.353 


1-000 516 




Nitrogen 


1-250 55 


45 400 


8-5 X 10-' 


5 070 X 10 


0167x10-' 


-147-1 


335 


0005 17 


-195.8 


-209-86 


48 


0.256 


1-404 


0-568 


1-000 296 to 
1000 298 




Oxygen 


1-429 04 


42 500 


905x10-6 


4 430 X 10' 


0-192 xlO-a 


-118.8 


49.7 


0.004 26 


-182.96 


-218-4 


51 


0-22 


i-401 


0-57 


1-000 271 to 
1000 272 




Sulphur 


2.926 9 


29 700 


4.3x10-' 


6 907x10' 


0-130x10' 


-157.3 


77-7 


0-007 45 


- 1 


-75.46 


94-9 


0.15 


1-29 


018 


1000660 




Dioxide 


































Steam at 


0.581 


— 







0-132x10-' 


374 


218.0 


0.002 4? 


; 100 




539 


0-47 


1-31 


0.519 


, , 




100°C 


































Water 


— 


56 600 


5-9x10-* 


9 592x10' 


0.094x10-' 


— . 










, 





. — . 


.,. 




1-000 249 to 




Vapour (0°C) 






























1000 259 




Note 


— The coefficient of expansion at constant pressure for all gases may 1 


be taken 


as 1/273 or ( 


[)-003 662. 

















SP: 8 -197ft 



TABLE 19 CONVERSION OF GASEOUS VOLUMES TO NTP 



-t 1 

760 1+0-003 67t 



Pres- 










^8'» 4 












sure ip) 




















mmHg 

























1 


2 


3 


4 


5 


6 


7 


8 


9 


700 


1.964 3 


0,965 


0-965 6 


0-966 3 


0-966 9 


0-967 5 


0-968 1 


0.968 7 


0-969 3 


0-969 9 


710 


1.970 5 


0-971 1 


0-971 7 


0-972 3 


0.972 9 


0-973 5 


0.974 I 


0-974 7 


0-975 3 


0-975 9 


720 


1 -976 5 


0-977 1 


0-977 7 


0-978 3 


0.978 9 


0.979 5 


0.980 1 


0.980 7 


0-981 3 


0-981 9 


730 


1.982 5 


0.983 1 


0-983 7 


0-984 3 


0-984 9 


0-985 5 


0.986 1 


0-986 7 


0-987 3 


0-987 8 


740 


1-988 4 


0-989 


0.989 6 


0-990 2 


0-9908 


0.991 4 


0-992 


0-9926 


0-993 2 


0-993 8 


750 


1-994 3 


0.994 9 


0-995 5 


0-996 1 


0-996 6 


0.997 2 


0-997 8 


0-998 3 


0-998 9 


0-999 5 


760 


0000 


0-000 6 


0-0012 


0001 8 


0-002 3 


0-002 9 


0-003 5 


0004 


0-004 6 


0-005 2 


770 


0005 7 


0-006 3 


0.006 9 


O-007 4 


0008 


0.008 6 


0009 1 


0009 7 


0-010 2 


010 8 


Tempe- 






















rature 










Log,, (1 -f 0-003 67<) 















1 


2 


3 


4 


5 


6 


7 


8 


9 





00000 


00016 


0003 2 


0-0048 


0.006 4 


0008 


0.009 6 


0-011 1 


O-012 7 


0-014 2 


10 


0-015 7 


0-017 2 


0,018 7 


0.020 2 


0.021 7 


0.023 2 


0.024 7 


0.026 2 


0.027 7 


0-1-29 2 


20 


0.030' 7 


0-032 2 


0.033 7 


0-035 2 


O-036 7 


0.038 2 


0-039 7 


00411 


0-042 6 


0-044 


30 


0-045 7 


0-046 8 


0-048 2 


0.049 6 


0051 


0-052 4 


0-053 8 


0-055 2 


0.056 6 


O-058 


40 


0.059 4 


0.060 8 


0-062 2 


0-063 6 


0.065 


006 6 4 


0067 8 


0-069 2 


0-070 6 


0-072 


50 


O-073 3 


0-074 7 


0076 


0.077 3 


0-078 6 


0.079 9 


0-081 2 


0082 5 


0-083 8 


0-085 1 


60 


O-086 4 


0.087 7 


0-089 


0.090 3 


00916 


0.092 9 


0094 2 


0095 5 


0-096 8 


0-0981 


70 


0099 3 


O-lOO 6 


0.101 8 


0.103 1 


0104 3 


0-105 6 


0-106 8 


0-108 1 


0.109 3 


0-110 6 


80 


0.1118 


0-113 


0-1142 


0115 4 


0.116 6 


0.117 8 


0-119 


0-120 


0.121 4 


0-122 6 


90 


0.123 8 


01251 


0-126 3 


0-127 5 


0-128 7 


0.129 9 


0-131 1 


0-132 3 


0.133 5 


0-134 7 


100 


0-135 8 


0.137 


0-1381 


0-139 3 


0-1404 


0-141 6 


0.142 7 


0.143 9 


0-165 


0-146 1 



TABLE 20 ELASTIC CONSTANTS 



Substance 


Young's 


Rigidity 


Bulk 


POISSON'S 


Bkeaking Stresi 




Modulus 


Modulus 


Modulus 


Ratio 


' FOR Wires 




(dynes per 
cm«) X 10" 


(dynes per 
cm«) X 10" 


(dynes per 
cm*) X 10" 




(dynes per 
cm'lxlO* 


Aluminium 


6-9-7-2 


2-4-2-7 


7-3-7-7 


0-33-0-35 


17-20 


Brass 


90-10-2 


3-4-3-5 


8-0-11-0 


0-3 -0-4 


31-39 


Constantan 


16-2-16-4 


60-6-2 


15-4-15-6 


0-31-0-38 




Copper 


11-0-12-9 


3-4-4-6 


130-14-3 


0-25-0-35 


28-46 


German Silver 


11-0-11-6 


4-3-4-7 


14-9-15-1 


O-36-0.38 


44-48 


Gold 


7-8-8-2 


2-7-2-9 


16-5-16-7 


0-41-0-43 


25-27 


Iron (Cast) 


10-13 


3-5-5-3 


9-5-9-7 


0-23-0-31 


8-23 


Iron (Wrought) 


19-0-22-0 


7-7-8-3 


14-6-16-0 


0-27-0-29 


46-62 


Lead 


1-5-1-7 


0-5-0-7 


4-0-5-0 


0-43-0-46 


2-0-2-2 


Manganin 


12-3-12-5 


4-6-4-8 


12-0-12-2 


0-32-0-34 


— 


Phosphor Bronze 


11.9-12-1 


4-3-4-5 




0-37-0-39 


69-108 


Platinoid 


13-5-13-7 


3-5-3-7 





0-36-0-38 


. 


Platinum 


16-8 


6-1 


24-7 


0-368 


33 


Silver 


7-7-7-9 


2-8-3-0 


10-8-11-0 


037-O-39 


27-31 


Steel (Mild) 


21-0-23.0 


8-0-8-9 


16-0-19-0 


0-25-0-31 


100-120 


Tin 


5-3-5-5 


1-9-2-1 


51-5-5 


0-32-0-34 


2-4-2-6 


Zinc 


8-0-11-0 


3-6-3-8 


3-0-6-O 


0-20-0-30 


11-15 


Glass (Crown) 
India Rubber 


60-7-8 
0-048-0-052 


2-6-3-2 
000016 


4-0-5-9 


0-20-0-27 
O-46-049 


3-9 



145 



SP:8-1970 





TABLE 


21 A PERCENTAGE 


humidit 


lES ' 


WITH 


WET 


AND 


DRY 


BULB 


HYGROMETER 




DiFFliRKNCE 
IN "C 

Dry and 

Wet Bulb 
Thermo- 
meter 






R 


EADI 


NG OF 


D RY 


Bulb 


Thermometer 


•c 








f 



50 


10 




15 




20 




25 




30 


35 


40 40 


1" 




81 


87 


88 




89 




90 




92 




93 


93 


94 


2" 




64 




76 




80 




82 




8.5 




86 


a7 


88 


3" 




46 




66 




71 




74 




77 




79 


81 


82 


4" 




29 




55 




62 




66 




70 




73 


75 


76 


5' 




13 




44 




53 




59 




63 




67 


70 


72 


6" 




. , 




34 




44 




52 




57 




61 


64 


66 


7" 




~„ ■ 


9 


2.5 




36 




45 




50 




55 


59 


61 


8" 








15. 




28 




38 




44 




50 


54 


56 


9" 




— 


— 


6 




20 




30 




38 




U 


50 


52 


10" 




— ■ 


— ■ 


— 




13 




24 




33 




39 


44 


4« 



TABLE 21B PRESSURE OF SATURATED WATER VAPOUR 
(IN MILLIMETRES OF MERCURY COLUMN) 



-10 


216 


2.32 


251 


2-71 


2.93 


3.17 


3-40 


3-67 


3.96 


4-26 





4-58 


4.92 


5.29 


5.68 


6-10 


6-54 


7.01 


7-51 


8-04 


8«61 


10 


9.21 


9.84 


10-51 


11.23 


11.98 


1279 


13-64 


14-53 


15-48 


1.6-4S 


20 


1754 


18-65 


19-83 


21-07 


22.38 


23.76 


25-22 


26.75 


28.36 


3605 


30 


31-83 


33.71 


35-67 


37.74 


39.91 


42.19 


44.58 


47-08 


49.71 


5246 


40 


55.34 


58.36 


61.52 


64-82 


68-28 


71-90 


75.67 


79-62 


83.74 


8805 


50 


92.54 


97.24 


102.1 


107-2 


112 6 


118-1 


123.9 


129-9 


136-2 


142-7 


60 


149-5 


156-5 


163.8 


171-5 


179.4 


187.6 


196-2 


205-1 


214-3 


223-9 


70 


233.8 


244-1 


254.8 


265.9 


2774 


289.3 


301.6 


314.4 


327-6 


341-3 


80 


355-5 


370.1 


385-2 


400-9 


417.1 


433.8 


451-1 


468.9 


487.3 


506-4 


90 


526.0 


546.3 


567.2 


588.8 


611.0 


634.0 


657-7 


682.1 


707-3 


733'2 


100 


7600 


787.6 


—— 


— 


— 


906.1 




— 


— ■ 


"~ 



TABLE 22 ATMOSPHERE 



Atmosphere: 

Percentage composition of dry 
air at sea level 



{By volume, nitrogen 7803, oxygen 20-99, argon 0-941 Hydrogen — 0-01 
(By weight, nitrogen 75-5, oxygen 23.2, argon 1-3) / Neon — 0001 23 



Helium —0-000 4 



Density at O'C and 76 cm = 0001293 g/cm* 

Standard pressure s^ 760 mm of mercury at 0°C. lat. 45*, and sea lev«l 

=- 1033 gf/cm* 

» 1-013 2 xlO* dynes per cm* • 101 3-2 millibars 



146 



SP:8- 1970 



Velocity of Light 
Candela (cd) 
Luminous Flux 
Lumen (Im) 

lUomtaation 

Lwnlaous Efficiency 
Lumens per Watt (Im/W) 



TABLE 23 LIGHT — STANDARDS FOR MEASUREMENT 

2-998 6 X 10" cm/s 

is the unit of luminous intensity 

is the time rate of flow of luminous energy 



is the unit of lumincus flux and is the flux emitted within unit solid angle 
(one steradian) by a point source having a uniform intensity of one 
candela 

of a surface is the luminous flun it receives per unit area 

is the unit of UtittHinaiioti and is the illumination produced by lumincus 
flux of one lumen uniformly distributed dver one square metre 

of a source of light is the ratio of total luminous flux to the total power 
consumed 

is the unit of measurement of luminous efficiency 



TABLE 24 REFRACTIVE INDICES (AGAINST AIR) FOR MEAN D LINES (X=6 893 x 10-* cm) 



Canada Balsam 

Crown Glass 
Diamond 
Felspar 
Flint Glass 

Fluorspar 
Ice 



1530 


Calcite (ord) 


1-500 


Calcite (ext) 


2.417 


Quartz (ord) 


1.524 


Quartz (ext) 


1-560 


Rock Salt 


1.433 9 


Ruby 


1-310 


Sylvine (KCl) 



658 

486 

504 

553 

544 2 

764 

490 3 



TABLE 25 WAVELENGTHS OF IMPORTANT SPECTRAL LINES 



LiNB 


Wavelength IN 


Link 


WAVELENGTH IN 




Angstrom 




Angstkom 




Units* 




Units* 


(1) 


(2) 


(1) 


(2) 


Kred 


7 664.91 


Mg green (B,) 


5 183-62 


red (A) 


7 593.97 


!^i 


5 172.70 
5 167.33 


(B) 


6 869.00 






Li red 


6 707-86 


Cd green 


5 285.82 


Ho red (C) 


6 562-82 


H blue green 


4 861-33 


Cd red 


6 438-47 


CdWue 


4 799-91 






Sr blue 


4 607.33 


Li orange 


6 103-64 






Na (D,) 


5889-95 


Li blue 


4 602.99 


(D») 


5 895.92 


Hr blue (G) 


4 340.47 


He yellow (D,) 


5 375.62 


Fe and Ca blue (G) 


4 307-75 


Tl green 


5 350-47 


Ca blue (G) 


4 226.74 


Fe and Ca green (E) 


5269-56 


K violet 


4 047-16 




*One Angstrom 


unit: 10^ cm. 





147 



SP:8-1970 



TABLE 26 MAGNETIC ELEMENTS 



Allahabad 

Bangalore 

Bombay 

Calcutta 

Dacca 

Dehra Dun 

Delhi 

Hyderabad 

Madras 

Peshawar 

Trichinipoly 

Vizagapatam 



Earth s 
Horizontal 
Intensity 

GUASS 

0-355 
0-376 
0.367 
0-369 
0-367 
0-331 
0.347 
0-374 
0-379 
0-306 
0-379 
0-380 



Angle of Dip 

IN Degrees 

V. Pole Down 


Declination 
IN Degrees 


35 






11 




1-7 w 


22 




0} w 


31 




1-2 E 


33 




0-1 w 


43 




2-0 E 


38 




1.4 E 


20 




1-0 w 


11 




1-9 w 


49 




3-8 E 


6 




2-2 w 


20 




1-0 w 



.TABLE 27 INSULATORS AND DIELECTRICS 
jc=dielectric constant (vacuum =1) 



Substance 


K 


Substance 


K 


Substance 


K 


Ebonite 


2-7 


Ethyl Alcohol (20%) 


25-8 


Air (0°C) 


1-000 594 


Glass 


7-6 


Benzene (20%) 


2-283 


Airs (20°C) 


1.000 528 


Ice (-2°C) 


93.9 


Ether (20°C) 


4-34 


Carbon Dioxide (25%) 


1-000 904 


Mica 


6-0 


Glycerin (X=200)(15''C) 


391 


Carbon Monoxide (25°C) 


1-000 634 


Paraffin 


2-1 


Turpentine 


2-2-2-3 


Hydrogen (0°C) 


1-000265 


Shellac 


3-2 


Vaseline Oil 


1-9 


Helium (25°C) 


1-000 067 


Sulphur 


3-9 


Water 


81 


Sulphur Dioxide (22%) 


1-008 18 



TABLE 28 ELECTROMOTIVE FORCE OF CELLS 



Bichromate cell 






2-0 volts 


Secondary cell 


Bunsen cell 






1-8 volts 


LeclancW cell 


Daniell cell 






1.08 volts 


Lessing 


Grove 






1-8-1-9 


Obach 


Standard cadmium 


(Weston) 


cell 


1018 3 volts 
(at 20°C) 


Clark (Standard) 



2-2 to 1-9 
volts 

1.50 volts 

1-5 volts 

1-5 volts 

1-432 8 volts 
(at 15%) 



14S 



SP: 8 - 1970 



TABLE 29 STANDARD DIAMETERS AND RESISTANCES OF WIRE 



STANDARD 

DiA 



(1) 

mm 

0-200 
O-300 
0-450 
0-750 

0.850 
1-060 
M20 
1400 
1.700 
1-800 
2060 
2-240 
2-500 
2-650 
2800 
3000 
3-350 



Area 

OF CROSS 

Section 



(2) 
mm* 

00314 

0.070 7 

01590 

0441% 

0.567 5 

0-882 S 

0-985 2 

1-539 

2.270 

2-545 

3.333 

3-941 

4909 

5-516 

6157 

7.069 

8.814 



COPPER 
(AT 20°C) 



(3) 

548-8 
243.9 
108-4 
39.02 
30-38 
19-54 
17-50 
11-20 
7-596 
6.775 
5173 
4-375 
3-512 
3.126 
2-800 
2439 
1-956 



Aluminium 

(AT 20°C) 



(4) 

905-7 

402-5 

178-9 

64.39 

5013 

32.24 

28-88 

18-48 

12-53 

11-18 

8-54 

7-22 

5-80 

516 

4.62 

402 

3-23 



Resistance ohm/km 

& 



Eureka or 

Constantan 

(at OT) 

(5) 



German 

Silver 

(at 20°C) 

(6) 



Manganin 
(at 20°C) 



(7) 



Platinoid 
(at 18°C) 



(8) 



L4 039 


10 505 


14 007 


10 951 


6 239 


4 669 


6 225 


4 867 


2 774 


2 076 


2 767 


2 164 


998-1 


746-9 


995-9 


778-6 


777-1 


581-5 


775-4 


606-2 


499-8 


374-0 


498-7 


389.9 


447-7 


3350 


446.6 


349-2 


286-5 


214.4 


285-9 


223-5 


194.3 


145-4 


193-9 


151-6 


173.3 


129-7 


172.9 


135-2 


132.3 


99-02 


132-0 


103.2 


111-9 


83-74 


111-7 


87.30 


87-84 


67.22 


89:61 


700% 


79.96 


59-83 


79.77 


62.37 


71.62 


53.60 


71.46 


55-87 


62.39 


46.69 


62.25 


48-67 


so04 


37-44 


49.93 


3903 



TABLE 30 VELOCITY OF SOUND 



Substance 



(1) 

Air 

Hydrogen 

Oxygen 

Water 

Alcohol 

Copper 

Iron 
Wood 

Glass 



Velocity 
In Metres 

PER Second 

(2) 

332 
1 262 
316 
1447 
1275 
3 560 
s 130 
3 000-5 000 
5000 



Tem- 
perature 



(3) 

OX 

0" 

0" 
20* 
15' 
20" 
20" 

10''-20'> 
20' 



NoTR — The velocity of sound increases with tem- 
perature at the following rates: Air 061, Carbon di- 
oxide 0-47, Nitrogen 0-61 and Oxygen 060 metres 
per second per 1 deg rise of temperature. 



TABLE 31 SCALE OF MINERAL 
HARDNESS 



1. Talc 

2. Rock-salt 

3. Calcite 

4. Fluorite 
5> Apatite 



6. Felspar 

7. Quartz 

8. Topaz 

9. Corundum 

10. Diamond 



Note 1 — Bodies scratched by fingernail have a 
hardness number less than 2-5. 

Note 2 — Bodies scratched by penknife have a 
hardness number less than 6-5. 



149 



As in the Original Standard, this Page is Intentionally Left Blank 



SECTION 3 

ENGINEERING TABLES 

(TABLES 32-46) 



As in the Original Standard, this Page is Intentionally Left Blank 



SP: 8 - 1970 



TABLE 32 ROLLED STEEL BEAMS 




Designation 


DEPTH 


WIDTH 


Thick- 


Thick- 


Weight 


Sec- 


Moments of Inertia 


MODUX-I OF 


Section 






or 
Flange 


ness OF 
Web 


NESSOF 
FlaNge 


PER 

m 


tional 

Area 




A.. 


. * 






OF 

Beam 


z« 


lyy 


r 

Zxx 


Zyy 




(*) 


(b) 


(fe) 


('/) 


{w) 


{") 










(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) 




mm 


mm 


mm 


mm 


kg 


cm' 


cm* 


cm* 


cm* 


cm* 


SLB 75 


75 


50 


3-7 


5-0 


6.1 


7.71 


72-7 


10-0 


19-4 


4-0 


SLB 100 


100 


50 


40 


6-4 


80 


10-21 


1680 


12-7 


33.6 


5-1 


SLB (P) 100 


100 


50 


4-3 


7-0 


8-6 


10-97 


178-4 


13-2 


35-7 


5-3 


SLB 125 


125 


75 


4-4 


6-5 


11-9 


1512 


406.8 


43-4 


65-1 


11.6 


SLB 150 


150 


80 


4-8 


6.8 


14-2 


18-08 


688.2 


55-2 


91-8 


13-8 


SLB 175 


175 


90 


51 


6-9 


16-7 


21.30 


1 096.2 


79-6 


125-3 


17-7 


SLB (P) 175 


175 


80 


5-3 


7-7 


16-7 


21.32 


1 072-0 


57.3 


122-5 


14-3 


SLB 200 


200 


100 


5-4 


7-3 


19.8 


25-27 


1 696-6 


115-4 


169-7 


23-1 


SLB (P) 200 


200 


100 


5.6 


80 


211 


26.85 


1 803.5 


112.8 


180-3 


22.6 


SLB 225 


225 


100 


5-8 


8-6 


23.5 


29-92 


2 501-9 


112-7 


222-4 


22-5 


SLB 250 


250 


125 


61 


8-2 


27.9 


35.53 


3 717-8 


193.4 


297-4 


30-9 


SLB 275 


275 


140 


6-4 


8-8 


33.0 


42.02 


5 375-3 


287-0 


392.4 


41-0 


SLB 300 


300 


150 


6-7 


9-4 


37-7 


48.08 


7 332.9 


376-2 


488.9 


50.2 


SLB (P) 300 


300 


140 


70 


11.6 


41.5 


52-89 


8133-9 


414-3 


542.3 


59-2 


SLB 325 


325 


165 


70 


9-8 


431 


54-90 


9 874.6 


510-8 


607.7 


61-9 


SLB 350 


350 


165 


7-4 


11-4 


49-5 


63-01 


13 158.3 


631.9 


751-9 


76-6 


ISLB 400 


400 


165 


80 


12-5 


56-9 


72.43 


19 306-3 


716.4 


965-3 


86-S 


ISLB 450 


450 


170 


8-6 


13.4 


65-3 


83-14 


27 536.1 


853.0 


1 223.8 


100.4 


SLB 500 


SOO 


180 


9-2 


141 


750 


95-50 


38 579-0 


1063-9 


1 543-2 


118-2 


SLB 550 


550 


190 


9-9 


150 


86-3 


109.97 


53 161-6 


1 3351 


1 933-2 


140-5 


SLB 600 


600 


210 


10-5 


15-5 


99.5 


126.69 


72 867-6 


1 821.9 


2 428.9 


173.5 


SMB 100 


100 


75 


40 


7-2 


11-5 


14.60 


257-5 


40-8 


51-5 


10-9 


SMB (P) 100 


100 


70 


4-5 


7-5 


11-5 


14.70 


252-0 


35-4 


50-4 


101 


SMB 125 


125 


75 


4-4 


7-6 


130 


16.60 


449-0 


43-7 


71-8 


11-7 


SMB (P) 125 


125 


70 


4-8 


80 


13-2 


16-81 


443-1 


38-4 


70-9 


11-0 


SMB 1.50 


150 


80 


4-8 


7-6 


14-9 


19-00 


726.4 


52.6 


96-9 


131 


SMB (P) 150 


150 


75 


50 


8-0 


150 


19-07 


717-6 


46.8 


95.7 


12-S 


SMB 175 


175 


90 


5-S 


8.6 


19-3 


24.62 


1 272.0 


85-0 


145.4 


18-9 


SMB (P) 175 


175 


85 


5-8 


90 


19-5 


24.87 


1 262.4 


76-7 


144-3 


18-0 


SMB 200 


200 


100 


5-7 


10-8 


25.4 


32.33 


2 235.4 


150-0 


223.5 


30.0 


SMB 225 


225 


110 


65 


11-8 


31-2 


39-72 


3 441.8 


218.3 


305-9 


39.7 


SMB 250 


250 


125 


6-9 


12-5 


37-3 


47-55 


5 131.6 


334-5 


410-5 


53-5 


SMB 300 


300 


140 


7-5 


12-4 


44.2 


56-26 


8 603-6 


453-9 


573.6 


64.8 


SMB 350 


350 


140 


81 


14-2 


52-4 


66.71 


13 630-3 


537-7 


778-9 


76-8 


SMB 400 


400 


140 


8-9 


160 


61-6 


78-46 


20 458.4 


6221 


1 022-9 


88-9 


SMB 450 


450 


150 


9-4 


17-4 


72-4 


92-27 


30390'8 


834.0 


1 350-7 


111-2 


SMB 500 


500 


180 


10-2 


17-2 


86.9 


110.74 


45 218-3 


1 369.8 


1 808-7 


152-2 


SMB 550 


550 


190 


11-2 


19-3 


103-7 


132-11 


64 893-6 


1 833-8 


2 359-8 


193-0 


SMB 600 


600 


210 


120 


20-8 


122-6 


156.21 


91 813-0 


2 651.0 


3 060-4 


252-5 



153 



SP: 8 - 1970 



TABLE 33 ROLLED STEEL CHANNELS 
b. 




Designation 


Depth 


Width 


Thick- 


Thick- 


Weight 


Sec- 


M OMENTS 


OF Inertia Moduli of 


Section 




OP 

Channel 


OP 

Flange 


ness OP 

Web 


ness OF 


PER 


tional 




A. 


X. 






F LANGE 


m 


AREA 


Ixx 


lyy 


Zxx 


Zyy 




(A) 


(6) 


M 


(tf) 


(««-) 


(«) 










(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) 




mm 


mm 


mm 


mm 


kg 


cm* 


cm* 


cm* 


cm' 


cm> 


ISJC 100 


100 


45 


3-0 


51 


5.8 


7.41 


123-8 


14-9 


24.8 


48 


ISJ C 125 


125 


SO 


3-0 


6-6 


7.9 


1008 


270.1 


25.6 


43-2 


7.6 


ISJC 150 


150 


S5 


3-6 


6-9 


9.9 


12.67 


471.8 


37-9 


62.9 


9-9 


ISJC 175 


173 


60 


3-6 


6.9 


11-2 


14-24 


71 9-9 


50.5 


82.3 


11.9 


ISJC 200 


200 


70 


4-1 


71 


140 


17.77 


1 161.9 


84-2 


116.2 


16.7 


ISLC 75 


7,5 


40 


3-7 


60 


5.7 


7.26 


66.1 


11-5 


17-6 


4.3 


ISLC 100 


100 


50 


40 


6-4 


7.9 


10.02 


164.7 


24-8 


32-9 


7.3 


ISLC 125 


125 


65 


4-4 


6-6 


10-7 


13-67 


356-8 


57-2 


57.1 


12-8 


ISLC (P) 125 


125 


65 


4-6 


70 


11-3 


14-35 


370-9 


51.2 


59-3 


11.1 


ISLC 150 


150 


75 


4-8 


7-8 


14.4 


18.39 


698.5 


103.1 


93.1 


20.2 


ISLC (P) 150 


150 


75 


SO 


8-7 


15-6 


19-88 


752-2 


97.2 


100-3 


18-5 


ISLC 175 


175 


75 


5-1 


9-5 


17-6 


22-42 


1 149-9 


126-4 


131-4 


24.8 


ISLC 200 


200 


75 


5-5 


10-8 


20.6 


26.26 


1 728.9 


146.8 


172-9 


28-5 


ISLC (P) 200 


200. 


75 


5.7 


11-4 


21-5 


27-41 


1 7955 


138.1 


179-6 


26.2 


ISLC 225 


225 


90 


5-8 


10-2 


24.0 


30-60 


2 555-7 


209-7 


227.2 


32-1 


ISLC 250 


250 


100 


61 


10-7 


280 


45-72 


3 697-3 


298-8 


295-8 


41-0 


ISLC 300 


300 


100 


6-7 


11-6 


331 


42.19 


6 066.0 


346-9 


404.4 


46-6' 


ISLC (P\ 300 


300 


90 


70 


12.5 


33.1 


42.20 


5 926-3 


284-8 


3951 


42-7 


ISLC 350 


350 


100 


7-4 


12-5 


38.9 


49.54 


9 330.9 


395-5 


533.2 


52.2 


ISLC 400 


400 


100 


80 


140 


45.8 


58.34 


14 021-7 


461-7 


701-1 


60.5 


ISMC 75 


75 


40 


4-4 


7-3 


6-8 


8.72 


76-5 


12-5 


20.4 


4.7 


ISMC 100 


100 


50 


4-7 


7-5 


9-2 


11-75 


187.7 


25.9 


37-5 


7-5 


ISMC 125 


125 


65 


SO 


81 


12-8 


16.25 


418-6 


59-8 


67-0 


13.2 


ISMC 125 


125 


66 


60 


81 


13-7 


17-50 


434-9 


64-4 


69-6 


13.8 


ISMC 150 


150 


75 


5-4 


90 


16-4 


20-94 


782.6 


102.2 


104-3 


19-4 


ISMC 150 


150 


76 


6-5 


90 


17.7 


22-58 


812.8 


109.6 


108-4 


20.2 


ISMC 175 


175 


75 


S-7 


10-2 


19-2 


24-45 


1 227.8 


120-9 


140-3 


22-9 


ISMC 175 


175 


77 


7-5 


10-2 


21.7 


27-64 


1310.9 


136.3 


149.8 


24.5 


ISMC 200 


200 


75 


61 


11-4 


22-2 


28.28 


1 825-1 


140.4 


182.5 


26-4 


ISMC 200 


200 


76 


7-5 


11-4 


24-3 


30-99 


1 910.4 


150.9 


191.0 


27.5 


ISMC 225 


225 


80 


6-4 


12-4 


26.0 


33.10 


2 704.2 


187.2 


240-4 


32.9 


ISMC 225 


225 


83 


9-0 


12.4 


30-7 


39-05 


2 962.1 


219.1 


263-3 


36.0 


ISMC 250 


250 


80 


7-1 


141 


30.4 


38-76 


3 828.4 


219-2 


306.4 


38-5 


ISMC 250 


250 


82 


90 


141 


34-2 


43.53 


4 080-1 


243.8 


326.4 


40-9 


ISMC 250 


250 


84 


110 


141 


38.1 


48-53 


4 340-5 


267.8 


347.2 


43-2 


ISMC 300 


300 


90 


7-6 


13-6 


35-9 


45.74 


6 384.2 


311.5 


425-6 


47.0 


ISMC 300 


300 


92 


100 


13.6 


415 


5284 


6 902-1 


345.3 


460.1 


49.8 


ISMC 300 


300 


94 


120 


13-6 


46.2 


58.84 


7 352.1 


374.9 


490-1 


52-2 


ISMC 350 


350 


100 


81 


13.5 


42-2 


53.74 


10 032.5 


431.7 


573.3 


57.2 


ISMC 400 


400 


100 


8-6 


15-3 


49-S 


6304 


15 123-4 


506.3 


756-2 


66-9 



154 



SP: 8 - 1970 



TABLE 34 STEEL EQUAL angles 

V 



Designation 

(1) 

ISA 2020 
ISA 2525 

ISA 303D 

IS=\ 353.5 

ISA 4040 

ISA 4.545 

ISA 5050 

IS-4 555.5 

ISA 6 6 

ISA 6565 




SIZE 
{AxB) 


Thick- 
ness 
(0 


Sec- 

TI0N.4I. 

Area. 

(a) 


Weight 
PERm 


Moments of 


Inertia 


/r* 


luti 


" ^ 
lyy 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


mmxmm 


mm 


ctn- 


kg 


cm 


cm* 


cm* 


20x20 


3-0 


1.12 


0-9 


0;4 


0-6 


0-4 




4-0 


1.45 


11 


0'5 


0-8 


0-5 


25x25 


3-0 


1.41 


11 


0-8 


1.2 


0-8 




40 


1.84 


1.4 


1-0 


1.6 


1-0 




5-0 


2.25 


1.8 


1.2 


1.8 


1.2 


30x30 


3-0 


1-73 


1.4 


1'4 


2.2 


1-4 




4-0 


2.26 


1.8 


1.8 


2-8 


1-8 




5-0 


2.77 


2.2 


21 


3-4 


2.1 


35x3.5 


3-0 


2.03 


1-6 


2-3 


3.6 


2.3 




4-0 


2-66 


2.1 


2.9 


4 7 


2.9 




5-0 


3.27 


2.6 


3-5 


5.6 


3.5 




60 


3-86 


3-0 


4.1 


6-5 


4.1 


40x40 


30 


2.34 


1-8 


3.4 


5-5 


3.4 




4-0 


3.07 


2.4 


4-5 


7-1 


4.5 




5 


3-78 


3-0 


5.4 


8.6 


5.4 




60 


4.47 


3.5 


6-3 


10.0 


6.3 


45 x45 


30 


2-64 


2-1 


5-0 


8-0 


5-0 




40 


3.47 


2.7 


6.5 


10-4 


6-5 




5-0 


4-28 


3.4 


7.9 


12.6 


7.9 




60 


5-07 


40 


9.2 


14.6 


9.2 


50x50 


3-0 


2-95 


2.3 


6.9 


11.1 


6.9 




40 


3-88 


3-0 


9.1 


14-5 


91 




5-0 


4.79 


3.8 


11-0 


17-6 


ll-O 




6-0 


5-68 


4.5 


12-9 


20-6 


12.9 


55X.55 


5-0 


5.27 


4-1 


14.7 


23-5 


14.7 




6-0 


6.26 


4.9 


17.3 


27-5 


17.3 




8-0 


8.18 


6-4 


22.0 


34.9 


22-0 




10.0 


10-02 


7.9 


26.3 


41-5 


26.3 


60 x60 


5-0 


5-75 


4.5 


19.2 


30-6 


19-2 




6-0 


6-84 


5-4 


22.6 


36.0 


22.6 




8-0 


8-96 


7-0 


29.0 


46.0 


29.0 




10-0 


11.00 


8-6 


34-8 


54-9 


34S 


65 x65 


5-0 


6.25 


4.9 


24-7 


39.4 


24.7 




6-0 


7.44 


5-8 


29.1 


46.5 


29.1 




8-0 


9.76 


7-7 


37.4 


59-5 


37.4 




10.0 


12.00 


9-4 


41-0 


71.3 


45.0 



Moduli of Section 



(9) 



(10) 



0-3 


0-3 


0-4 


0-4 


0-4 


0-4 


0-6 


0-6 


0-7 


0-7 


0-6 


0-6 


0-8 


0-8 


1-0 


10 


0-9 


0-9 


1-2 


1.2 


1-4 


1-4 


1-7 


1.7 


1-2 


1.2 


1.6 


1.6 


1-9 


1-9 


2-3 


2.3 


1-5 


IS 


20 


20 


2-5 


2-5 


2-9 


2-9 


1.9 


1-9 


2-5 


2-S 


3.1 


3-1 


3.6 


3-6 


3-7 


3-7 


4.4 


4.4 


5.7 


5.7 


7-0 


7-0 


4-4 


4.4 


5.2 


5-2 


6-8 


6-8 


8-4 


8.4 


5-2 


S-2 


6-2 


6.2 


8.1 


8-1 


9-9 


9-9 




(Conlinucd) 



155 



SP:8-1970 



TABLE 34 STEEL EQUAL ANGLES —Contd 



Designation 



(1) 



ISA 7070 



ISA 7575 



ISA 8080 



ISA 9090 



ISA 100100 



IS.4 110110 



ISA 130130 



ISA 150150 



ISA 200200 



SIZE 
{AxB) 



(2) 
mmxmm 
70x70 



75x75 



80x80 



90x90 



lOOx 100 



llOx 110 



130x 130 



ISOX 150 



200x 200 




Thick- 
ness 
(0 

(3) 
mm 

50 

60 

80 
10-0 

50 

60 

8-0 
10.0 

60 

8-0 
100 
12.0 

6-0 

8-0 
10-0 
120 

60 

80 
10.0 
120 

80 
100 
120 
16.0 

80 
10.0 
12.0 
16.0 
10.0 
120 
160 
20.0 
120 
16.0 
200 
25-0 



Sec- 

TIONAL 

Area 

(«) 

(4) 

cm* 

6.77 
8-06 
10-58 
1302 
7.27 
8-66 
11.38 
14.02 
9-29 
12-21 
15-05 
17-81 
10-47 
13.79 
17-03 
20-19 
11-67 
15-39 
1903 
22.59 
17-08 
21-12 
2508 
32-76 
20.28 
2512 
29.88 
3916 
29.21 
34-77 
45-65 
56-21 
46-94 
61-82 
76-38 
94.13 



Weight 

PER m I 

(w) Ifx 



Moments or Inertia 



(S) 

kg 

5-3 

6-3 

8.3 

10-2 

5-7 

6-8 

8-9 

11.0 

7-3 

9-6 

11-8 

14.0 

8-2 

10-8 

13-4 

15.8 

9.2 

12-1 

14-9 

17.7 

13.4 

16-6 

19.7 

25.7 

15-9 

19.7 

23-5 

30-7 

22.9 

27.3 

35-8 

44-1 

36-9 

48-5 

600 

73.9 



(6) 



31-1 

36-8 

47-4 

57-2 

38.7 

45-7 

59-0 

71-4 

56-0 

72-5 

87-7 

101.9 

80.1 

104-2 

126-7 

147.9 

111.3 

145-1 

177-0 

207-0 

196-8 

240-2 

281-3 

357.3 

3310 

405.3 

476.4 

609.1 

633-5 

746-3 

958.9 

1 155-5 

1 826.3 

2 366.2 

2 8750 

3 470-2 



(7) 
cm* 

49.8 

58-8 

75-5 

90.7 

61.9 

73.1 

94-1 

113.3 

89-6 

115.6 

139.5 

161-4 

128-1 

166-4 

201.9 

234.9 

178-1 

231.8 

282.2 

329.3 

312-7 

381-5 

446-4 

564.6 

526.3 

644-6 

757.1 

965.6 

1 007.4 

1 186-6 

1 522-5 

1 829.6 

2 905.4 

3 7641 

4 568.6 

5 501-5 



(8) 
cm* 

31.1 

36-8 

47.4 

57-2 

38-7 

45-7 

59-0 

71-4 

56-0 

72-5 

87.7 

101-9 

80.1 

104-2 

126.7 

147.9 

111.3 

145-1 

177.0 

207.0 

196-8 

240.2 

281.3 

357.3 

331.0 

405-3 

476-4 

609.1 

633.5 

746.3 

958-9 

11555 

1 826-3 

2 366.2 

2 875.0 

3 470.2 



Moduli OF Section 

Zxx Zyy 

(9) (10) 

cm* cm* 

6-1 6-1 

7-3 7-3 

9-5 9-5 

11.7 11.7 

7-1 7-1 

8-4 8.4 

11-0 11.0 

13.5 13-5 
9-6 9-6 

12.6 12.6 
15-5 15.5 
18-3 18-3 
12.2 12-2 
16.0 16-0 
19-8 19.8 
23-3 23-3 
15.2 15-2 
20.0 200 
24-7 24-7 
29.2 29.2 
24-6 24.6 
30-4 30-4 
35.9 35-9 
46-5 46-5 
34.9 349 
431 43.1 
510 51.0 
66-3 66-3 
58.0 58-0 
68-8 68-8 

89.7 89.7 
109-7 109.7 
125-0 1250 
163.8 163.8 
201-2 201-2 
2460 246.0 



156 



SP: 8 - 1970 



TABLE 35 STEEL TEE BARS 

Y 




3ESIGNATJ0N 


SIZE 


THICKNESS 


Weight 




Nominal 


OF 

Web 




(1) 


(2) 


(3) 


(4) 




mm X mm 


mm 


kg/m 


ISNT 20 


20x20 


40 


11 


ISNT 30 


30X30 


40 


1-8 


ISNT 4 


40x40 


60 


3-5 


ISNT 50 


50 X 50 


60 


4-4 


ISNT 60 


60x 60 


60 


5.4 


ISNT 75 


75x is 


90 


10.0 


ISNT 100 


lOOx 100 


10.0 


14.9 


ISNT 1.50 


150X150 


10.0 


22.7 



Sectional Moments OF INERTIA MODULI of Section 

Area / -^ v i ^ v 

Ixf lyy Zxx Zy 



(S) 



(6) 



(7) 



cm* 



1-45 


,0-5 


0-2 


2.26 


1-8 


0-8 


4.45 


6-1 


2-9 


5.66 


122 


5-7 


6.85 


21-4 


9-7 


12.69 


620 


29.2 


18.97 


163.9 


76.8 


28.88 


541 1 


250-3 



(8) 
cm* 

0-3 
0-8 
21 
3-4 

4.8 
11.4 
22.2 
47.5 



-yy 

(9) 

cm* 

0-2 
0-5 
1-5 

2.3 

3.2 

78 

15-4 

33.4 



Width 



TABLE 56 STEEL FLATS 
Weight in kg per Metre Length for Thickness, m m 





f 












*■ 









. 




I \ 


mm 


30 


4-0 


5-0 


60 


8-0 


10.0 


12 


16 


18 


20 


25 


32 


40 


10 


0-2 


0-3 


0-4 


0-5 


_ 


_ 






_ 










IS 


0-4 


0-5 


0-6 


0-7 


0-9 


— 


„ 


_ 


— 














20 


0-5 


0-6 


0-8 


0-9 


1-3 


1-6 


— 


— 


— 









^ 


25 


0-6 


0-8 


10 


1-2 


1-6 




2-4 


— 


— 






— 





30 


0-7 


0-9 


1-2 


1-4 


1-9 


n 


2-8 


3-8 


— 


— 


— 








35 


0-8 


11 


1.4 


1-6 • 


2-2 


nn 


3-3 


•SO 


50 


6-3 


— 


— 


-^ 


40 


0-9 


1-3 


1-6 


1-9 


2-5 


3-.1 


3.8 


5-6 


5.6 


71 


— 





-^ 


45 


M 


1-4 


1-8 


21 


2-8 


3-5 


4-2 




6-4 




— 








50 


1-2 


1-6 


20 


2-4 


3-1 


3-9 


4-7 


6-3 


71 


7-8 


9-8 


— , 





55 


1.3 


1-7 


2-2 


2-6 


3-4 


4-3 


5.2 


6-9 


7-8 


8-6 


10-8 


— 


__ 


60 


1-4 


1.9 


2.4 


2-8 


3-8 




5-6 


7-5 


8-5 


9-4 




15-1 





65 




— 


— 


3-1 


n 


4.1 H 


61 


8-2 


9-2 


10-2 


ll'jli! 


16.3 


20-4 


70 


— 


. — 


— 


3-3 


5-5 


6-6 


8-8 


9-9 


110 


13.7 


17.6 


22.0 


75 





_ 




3-5 


4-7 


5-9 


!■$ 


9-4 


10-6 


11.8 


14.7 


18-8 


23.6 


80 


— 


— 




3.8 


n 


6-3 


8-5 


1!'310'0 


12." lU 


12.6 


15.7 


20-1 


25-1 


90 


— 


. — 


— 


4-2 


71 








14.1 


17.7 


22.6 


28.3 


100 


— 


— 


— 


4-7 




7-8 


9-4 






15.7 


19.6 


25-1 


31-4 


110 


— 


— 


— 


5.2 


§:§ 


8-6 


10-4 


116 las 


llllS'i 


17-3 


21-6 


27.6 


34.5 


120 











5-6 


7.5 


9-4 






17-0 


18.8 


23.6 


30.1 


37.7 


130 


— 


— 


— 




8-2 


10-2 


IM 


m 


18-4 


20-4 


25-5 


32.7 


40-8 


140 


— 


— 


— 




8-8 


110 


13'2 


17-6 


19-8 


22.0 


27-5 


35-2 


440 


150 


— 


— 


— 




9-4 


11-8 


14.1 


18-8 


21-2 


23.6 


29.4 


37.7 


47.1 


200 


— 


— 


— 




^ 


15-7 


18-8 


25-1 


28.3 


31.4 


39.2 


50.2 


62.8 


250 


— 


— 


— 


— 





19-6 


23.6 


31.4 


35.3 


39-2 


49-1 


62.8 


78.5 


300 


— 


— 


— 


— 


. — 


— 


28.3 


37-7 


42.4 


47.1 


58.9 


75.4 


94.2 


400 


— 


— 


— 


— t 


— 


— 


~^ 


50.2 


56-5 


62.8 


78.5 


1005 


125.6 



Note — The sign ' — ' given in tlie table indicates that the flat of the concerned width-thickness combination is not 
manufactured in the country. 



157 



SP:8-1970 



TABLE 37 ROUND AND SQUARE STEEL BARS 
Round Bars 



TABLE 39 STEEL CHEQUERED PLATES 



Designa- 
tion 



ISRO 5 
ISRO 6 
ISRO 8 
JSRO 10 
ISRO 12 
ISRO 16 
ISRO 20 
ISRO 25 
ISRO 28 
ISRO 32 
ISRO 36 
ISRO 40 
ISRO 45 
ISRO 50 
ISRO 56 
ISRO 63 
ISRO 71 
ISRO 80 
ISRO 90 
ISRO 100 
ISRO 110 
ISRO 125 
ISRO 140 
ISRO 160 
ISRO 180 
ISRO 200 



Designa- 
tion 



ISSO 


5 


ISSQ 


6 


ISSV! 


8 


issg 


10 


JSSQ 


12 


ISSQ 


16 


ISSQ 


20 


issy 


25 


ISSQ 


32 


ISSQ 


40 


ISSQ 


50 


issy 


63 


ISSQ 


80 


ISSQ 


100 



Diameter 


Cross- 


Weight 




Sectional 


PEE 




Area 


Metre 


mm 


cm* 


kg 


SO 


0-20 


0-2 


60 


0-28 


0-2 


80 


0-50 


0-4 


100 


0-79 


0-6 


12 


113 


0-9 


16 


2.01 


1-6 


20 


314 


2-5 


25 


4.91 


3-8 


28 


6.16 


4-8 


32 


804 


6.3 


36 


1018 


80 


40 


12.57 


9-9 


45 


15.90 


12-5 


SO 


19-64 


15-4 


56 


24-63 


19.3 


63 


31.17 


24.5 


71 


39-59 


31.1 


80 


50-26 


39.5 


90 


63.62 


49.9 


100 


78-54 


61-7 


110 


9503 


74-6 


125 


122.72 


96-3 


140 


153.94 


120-8 


160 


201.06 


157-8 


180 


254.47 


199.8 


200 


314.16 


246.6 


Square 


Bars 




SIDE 


Cross- 


Weight 


Width 


Sectional 


PER 




Area 


Metre 


mm 


cm' 


kg 


SO 


0-25 


0-2 


60 


0-36 


0-3 


8-0 


0.64 


0-5 


100 


l-OO 


0-8 


12 


1-44 


1-1 


16 


2-56 


2-0 


20 


4-00 


3-1 


25 


6-25 


4.9 


32 


10-24 


8-0 


40 


1600 


12-6 


50 


25-00 


19.6 


63 


39.69 


31.2 


80 


6400 


50.2 


100 


10000 


78.5 



TABLE 38 STEEL RAIL SECTIONS 



Standard 

WEIGHTS■^ 

kg metre 
24-8 
29-8 
37-1 



Standard 

Weights* 

kg'metre 
44-6 
51-9 



Standard 

Thickness 



mm 

5 



10 
12 
14 
16 



*Weight per 

SgUAKE 

Metre 

kg 

39 

47 

55 

63 

78 

94 
110 
126 



*Conforms to the weights given in IS: 1730-1961 Di- 
mensions for steel plate, sheet and strip for structural 
and general engineering purposes . 



TABLE 40 MILD STEEL SHEETS 



*Conform to IRS No. T-12.64 ' Indian Railway Stan- 
dard Specification for flat bottom railway rails . 



Standard Nominal 


Standard 


Standard 


Thickness 


AND 


Sizes 


SIZES 


Weight 












1 ' ■ i 


1 * k 


Thickness 


Weight 


mmxmm 


mmxmm 


mm 


kg/m« 






4.00 


31.4 


1 800x 600 


2 800X 600 


3-55 


27-^ 


750 


750 


3-15 


24-8 


900 


900 


2.30 


22 


1000 


1000 


2-50 


19.6 


1100 


1100 


2.24 


17.6 


1200 


ILoo 


2.00 


15.7 


12.50 


1250 


1-80 


14-2 


1400 


1400 


1.60 


12.6 


1500 


1500 


1-40 


11 


2 000 X 600 


3 200 X 600 


1.25 


9.8 


750 


750 


1.12 


8.8 


900 


900 


1-00 


7-9 


1000 


lOOO 


0-90 


7-0 


1100 


1100 


0-80 


6-3 


1200 


1200 


0.63 


5-0 


1250 


1250 


0.50 


3-9 


1400 


1400 


0-40 


3.2 


1500 


1500 






2 200X 600 


3 600X 600 






750 


750 






900 


900 






1000 


1000 






1100 


1100 






1200 


1200 






1250 


1250 






1400 


1400 






1500 


1500 






2500X 600 


4000X 600 






7.50 


750 






900 


900 






1000 


1000 






1100 


1100 






1200 


1200 






1 2.50 


1250 






1400 


1400 






1500 


1500 



158 



SP: 8 - 1970 



TABLE 41 NOMINAL WEIGHTS OF GALVANIZED PLAIN SHEETS 



SIZE 



*ZlNC 



Thickness of Sheet 





CLASS 


1-60 


' mm 


1-25 

A 


mm 


1-00 

Sheets, 
bundle 


mm 0-80 

-. r A 

1 WeJRht Sheets/ 
kg/ bundle 
bundle 


mm 

'weight 
kg/ 

bundle 


0-63 

Sheets/ 
bundle 


\ 

• mm 


m X m 


Sheets/ 

bundle 


Weight Sheets/ 
kg/ bundle 

bundle 


Weight 

kg/ 

bundle 


Weight 
kg/ 

bundle 


1-8X0-9 


Class I 


5 


107.8 


6 


102-7 


8 


111-5 


10 


113.9 


12 


110-7 


2-2XO-9 




4 


105-4 


5 


104.6 


7 


119.2 


8 


111-4 


10 


112.9 


2-5xe-9 




4 


119.8 


5 


118-8 


6 


116.1 


7 


110-7 


9 


115-3 


2-8X0-9 




3 


100.6 


4 


106.4 


5 


108.4 


6 


106-3 


8 


114.9 


3-2X0-9 




3 


115-0 


4 


121.7 


5 


123.8 


6 


121-5 


7 


114.8 


1-8X0-75 


Class I 


6 


107.8 


7 


99-8 


9 


104-5 


12 


113-9 


14 


107.6 


2-2X0-75 




5 


109.8 


6 


104-5 


8 


113-5 


10 


116-0 


12 


112.8 


2-5 X 0-75 




4 


98.2 


5 


99.0 


7 


112.9 


9 


118.6 


10 


106-8 


2-8x0.75 




4 


111.8 


5 


110-9 


6 


108.4 


8 


118.1 


9 


107.7 


3-2x 0-75 




3 


95-8 


4 


101-4 


5 


103.2 


7 


118.1 


8 


109.4 


1 •8x0-9 


Class II 


5 


106-6 


6 


101.2 


8 


109-5 


10 


111-5 


12 


107-9 


2-2x0-9 




4 


104-2 


5 


103.0 


7 


117.1 


8 


108.9 


10 


109-9 


2-5 X 0-9 




4 


118.4 


5 


117.1 


6 


114.1 


7 


108.4 


9 


112.4 


2-8x0-9 




3 


99-5 


4 


104.9 


S 


106.4 


6 


104.0 


8 


111.9 


3-2x0-9 




3 


113.7 


4 


119.9 


5 


121.7 


6 


118.9 


7 


111-9 


1-8x0-75 


Class II 


6 


106-6 


7 


98-4 


9 


102.7 


12 


111.5 


14 


104-9 


2-2x0-75 




5 


108.6 


6 


103-1 


8 


111.5 


10 


113.5 


12 


109.9 


2.5x0.75 




4 


98^7 


5 


97-6 


7 


110-9 


9 


116-1 


10 


104.1 


2-8 X 0-75 




4 


110-6 


5 


109.3 


6 


106-4 


8 


115-6 


9 


104-9 


3-2x0-75 




3 


94.7 


4 


99.9 


5 


101-4 


7 


115-6 


8 


106-6 


1-8x0-9 


Class III 


5 


105-4 


6 


99.7 


8 


107-6 


10 


109.0 


12 


105-0 


2-2x 0-9 




4 


103-0 


5 


101-6 


7 


1150 


8 


106-6 


10 


106.9 


2-5x0-9 




4 


117-1 


5 


115-4 


6 


1121 


7 


106.0 


9 


109.3 


2-8 X 0-9 




3 


98.4 


4 


103.4 


5 


104-6 


6 


101-8 


8 


108.9 


3-2X 0-9 




3 


112.4 


4 


l«-2 


5 


119.5 


6 


116.3 


7 


108.8 


1-8x0.75 


Class III 


6 


105-4 


7 


970 


9 


100-8 


12 


109.0 


14 


102.1 


2-2X0-75 




5 


107.4 


6 


101-6 


8 


109-6 


10 


111.0 


12 


106.9 


2-5x0.75 




4 


97-6 


5 


96.2 


7 


108.9 


9 


113.6 


10 


101-2 


2.8 X 0-75 




4 


109-3 


5 


107.8 


6 


104-6 


8 


113.0 


9 


102-1 


3-2x 0-75 




3 


93-7 


4 


98-5 


5 


99-6 


7 


113.0 


8 


103.7 


1-8x0-9 


Class IV 


5 


104.8 


6 


99.1 


8 


106.6 


10 


107.9 


12 


103-4 


2-2X 0-9 




4 


102.5 


5 


100-9 


7 


114.0 


8 


105-5 


10 


105-3 


2-5x0-9 




4 


116.5 


5 


114.6 


6 


111.0 


7 


104-9 


9 


107-7 


2.8x0-9 




3 


97.8 


4 


102.7 


5 


104-0 


6 


100.7 


8 


107.3 


3-2x0-9 
3-6x0-9 




3 


111.8 


4 


117-4 


5 


118.4 


6 


1151 


7 


107-2 



1-8x0-75 
2-2x0-75 
2-5x0-75 

2-8 X 0.75 
3-2x 0.75 
3.6x0-75 



Class IV 



104.8 

106-8 

97-0 

108-7 

93.18 



96.3 

100-9 

95-6 

107.0 
97-8 



99.9 
108-5 
107-9 
103-6 

98-6 



12 

10 

9 



107-9 
109-9 

112.4 
111.9 
111-9 



14 

12 

10 

9 



100-5 
105-4 
99-8 
100-5 
102-2 



*See Table 42 for details of the class of zinc coating. 



159 



SP: 8 


-1970 
























TABLE 42 NOMINAL 


WEIGHTS OF GALVANIZED CORRUGATED 


SHEETS 




Size 
m 


No. OF 

Corru- 
gations 










Thickness of sheet 

^ : 










1-60 mm 


1-25 


mm 


1-00 mm 


0-80 mm 


0-63 


-> 
mm 




Sheets/ 
bundle 


Weight 

kg/ 
bundle 


Sheets/ 
bundle 


Weight 

kg/ 
bundle 


Sheets/ 
bundle 


Weight 

kg/ 
bundle 


Sheets! 
bundle 


Weight 

kg/ 
bundle 


Sheets/ 
bundle 


Weight 
bundle 




[Class 1 


750 g of Zinc (Spelter) Coating per Square 


Metre, 1 


Both Sides Inclusive] 




1.8 


10 


5 


107.8 


6 


102.7 


8 


lU-5 


10 


113.9 


12 


110.7 


2.2 


10 


4 


105-4 


5 


104.6 


7 


119.2 


8 


111.4 


10 


112.9 


2.5 


10 


4 


1198 


5 


118.8 


6 


116.1 


7 


110.7 


9 


115.3 


2.8 


10 


3 


100.6 


4 


106.4 


5 


108.4 


6 


106.3 


8 


114.9 


3.2 


10 


3 


1150 


4 


121.7 


5 


123.8 


6 


121.5 


7 


114.8 


1-8 


8 


6 


107.8 


7 


99.8 


9 


104.5 


12 


113.9 


14 


107.6 


2.2 


8 


5 


109.8 


6 


104-5 


8 


113-5 


10 


116.0 


12 


112.8 


2-5 


8 


4 


98.2 


5 


99.0 


7 


112-9 


9 


118.6 


10 


106.8 


2-8 


8 


4 


111.8 


5 


no-9 


6 


108.4 


8 


1181 


9 


107-7 


3.2 


8 


3 


95.8 


4 


101-4 


5 


103.2 


7 


118.1 


8 


109.4 




[Class 


i II 600 g of Zinc 


(Spelter) Coating per Square Metre, 


Both Sides Inclusive] 




1.8 


10 


5 


106.6 


6 


101-2 


8 


109.5 


10 


111.5 


12 


107.9 


2.2 


10 


4 


104-2 


5 


103.0 


7 


117.1 


8 


108.9 


10 


109.9 


2.5 


10 


4 


118.4 


5 


117.1 


6 


114.1 


7 


108.4 


9 


112.4 


2.8 


10 


3 


99.5 


4 


104.9 


5 


106.4 


6 


104.0 


8 


111.9 


3.2 


10 


3 


113.7 


4 


119.9 


5 


121.7 


6 


118.9 


7 


111.9 


1-8 


8 


6 


106.6 


7 


98.4 


9 


102.7 


12 


111.5 


14 


104-9 


2.2 


8 


5 


108.6 


6 


103.1 


8 


111.5 


10 


113.5 


12 


109.9 


2-5 


8 


4 


98.7 


5 


97-6 


7 


110-9 


9 


116.1 


10 


104.1 


2.8 


8 


4 


110.6 


5 


109-3 


6 


106-4 


8 


115.6 


9 


104.9 


3-2 


8 


3 


94-7 


4 


99.9 


5 


101-4 


7 


115-6 


8 


106.6 




[Class 


III 450 g of Zinc (Spelter) Coating per Square Metre, Both Sides Inc 


lusive] 




1-8 


10 


5 


105-4 


6 


99.7 


8 


107.6 


10 


109.0 


12 


105-0 


2-2 


10 


4 


103-0 


5 


101.6 


7 


115-0 


8 


106-6 


10 


106.9 


2-5 


10 


4 


117-1 


5 


115-4 


6 


112.1 


7 


106-0 


9 


109.3 


2-8 


10 


3 


98.4 


4 


103-4 


5 


104-6 


6 


101.8 


8 


108-9 


32 


10 


3 


112.4 


4 


118.2 


5 


119.5 


6 


116.3 


7 


108.8 


1.8 


8 


6 


105-4 


7 


97.0 


9 


100-8 


12 


109.0 


14 


102-1 


2-2 


8 


5 


107-4 


6 


101.6 


8 


109.6 


10 


111.0 


12 


106.9 


2-5 


8 


4 


97-6 


5 


96-2 


7 


108-9 


9 


113-6 


10 


101-2 


2-8 


8 


4 


109-3 


5 


107.8 


6 


104-6 


8 


113.0 


9 


1021 


3-2 


8 


3 


93-7 


4 


98-5 


5 


99.6 


7 


113.0 


8 


103.7 




[Class 


IV 375 g of Zinc 


: (Spelter) Coating per Square Metre, 


, Both Sides Inclusive] 




!•» 


10 


5 


104.8 


6 


99.1 


8 


106.6 


10 


107.9 


12 


103.4 


2-2 


10 


4 


102-5 


5 


100.9 


7 


114.0 


8 


105-5 


10 


105-3 


2-5 


10 


4 


116.5 


5 


114.6 


6 


111.0 


7 


104.9 


9 


107.7 


2-8 


10 


3 


97.8 


4 


102-7 


"■ 


104-0 


6 


100.7 


8 


107.3 


3-2 
3.6 


10 
10 


3 


111.8 


4 


117-4 


3 


118-4 


6 


115.1 


7 


107.2 


1-8 


8 


6 


104-8 


7 


96-3 


9 


99.9 


12 


107.9 


14 


100.5 


2-2 


8 


5 


106.8 


6 


100-9 


8 


108-5 


10 


109-9 


12 


105-4 


25 


8 


4 


970 


5 


95-6 


7 


107.9 


9 


112.4 


10 


99.8 


2-8 


8 


4 


108.7 


5 


1070 


6 


103-6 


8 


111-9 


9 


100-5 


3-2 


8 


3 


93.18 


4 


97-8 


5 


98.6 


7 


111.9 


8 


102-2 


3-6 


8 


~ 


~ 


~ 


~ 


~ 










~ 



160 















SP:8-1970 






TABLE 


43 BARE COPPER CONDUCTORS 






StANdArd 
Diameter 


Calculated 

A REA ON 

s tandard 
Diameter 


S TANDARD 

Resistanc 
AT 20''C 

PEE km 


s tandard 
Weight 
PER k m 


Standard 
Diameter 


Calculated 

A REA ON 
S TANDARD 

Diameter 


Standard 
Resistance 

AT 20 "C 
PER km 


S tandArd 

Weight 

PER k m 


(1) 


(2) 


(3) 


(4) 


(1) 


(2) 


(3) 


(4) 


m m 


mm* 


ohm 


kg 


mm 


mm* 


ohm 


kg 


1-36* 


1.453 


12-21 


12.91 


4-25*t 


14.19 


1.248 


126.1 


1-60* 


2011 


8.823 


17.87 


4-50t 


15-90 


1113 


141.4 


t-70* 


2.270 


7.815 


2018 


4-75* 


17.72 


0.998 7 


157-5 


212* 


3.530 


5.025 


31-38 


500* 


19-63 


0-901 4 


174.6 


2-65* 


5-515 


3.215 


49.03 


5-30*t 


22.06 


0-801 9 


196-1 


300* 


7.069 


2-507 


62-84 


5-60* 


24.63 


0.718 1 


219.0 


3-25*t 


8.296 


2-136 


73.75 


6-SOt 


33.18 


0.532 7 


295.0 


3-35* 


8.814 


2.010 


78.36 


7-lOt 


39.59 


0.446 3 


352.0 


3-55*1 


9.898 


1.790 


87.99 


7-50t 


44.18 


0-399 8 


392.7 


3-65* 


10.46 


1.693 


9302 


9-50t 


7088 


0.248 8 


6301 


3-75* 


11-04 


1.604 


98.10 











*Standard sizes recommended for stranded conductors. 
^Standard sizes recommended for use as solid conductors. 





TABLE 44 


COMPARISON TABLE 


FOR WIRES AND 


CABLES 




Number 

AND 

Diameter 

OF WIRES 


Nominal 

Cross- 

Spxtional 

Area 


Weight 
PER k m 


Standard 
Resistance of 

Conductors 
(AT 20°C) 
PER k m 


MaxI mum Allowable 

Resistance of Each Conductor 

PER km (at 20 °C) 


Single Core 

and Flat 

Cables 


» 

Twin and 

Multi-Core 

Cables 


(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


mm 


mm' 


kg 


ohm 


ohm 


ohm 


1/112 


1-0 


8.76 


1750 


18 02 


18.38 


1/1-40 


1-5 


13.68 


11.20 


11.54 


11.77 


1/1-80 


2-5 


22.62 


6.775 


6.978 


7.118 


3/1-06 


— 


2308 


6.644 


6.777 


6.913 


1/2-24 


4-0 


35.03 


4.375 


4.506 


4.596 


7/0-85 


_ 


34.72 


4414 


4-502 


4.592 


7/2-80 


6 


54.74 


2-800 


2.884 


2.942 


7/1-06 


— 


53.99 


2.83) 


2.895 


2.954 


7/1-40 


10 


97.47 


1.627 


1-660 


1.693 


7/1-70 


16 


143.7 


1.104 


1.126 


1-149 


7/2-24 


25 


249.8 


0.635 7 


0.648 4 


0-661 4 


7/2-50 


35 


310.7 


0.510 3 


0-520 5 


0530 9 


19/1-80 


50 


437.9 


0363 3 


0370 6 


0378 


19/2-24 


70 


678-2 


0234 6 


0.239 3 


0244 1 


19/2-SO 


95 


844.8 


0188 3 


0-192 1 


0-195 9 


37/2-06 


120 


1118 


0142 5 


0-145 4 


0148 3 


37/2-24 


150 


1321 


0.120 5 


0122 9 


0125 4 


37/2-50 


185 


1646 


0096 77 


0098 71 


010)7 


61/2-24 


240 


2 179 


0073 13 


0074 59 


0076 08 


61/2-50 


300 


2 714 


0.058 71 


0.059 88 


0.061 08 


61/300 


400 


3 9 9 


0.040 77 


0041 59 


0042 42 



161 



SP:8.1970 



TABLE 45 UNEQUAL ANGLE% 



Designation 


SIZE 


Thickness 


Weight 

PER 

Metre 


Designation 


SIZE 


Thickness 


Weight 

PER 

Metre 


(1) 


(2) 


(3) 


(4) 


(1) 


(2) 


(3) 


(4) 




mm X mm 


m m 


kg 




m m X m m 


mm 


kg 


ISA 3020 


30x20 


30 


11 


ISA 9060 


90x60 


60 


6-8 






4-0 


1-4 






80 


8-9 






5 


1-8 






100 
120 


11.0 
130 


TSA 4025 


40x25 


30 


L5 














40 


1-9 


ISA 10065 


100 x65 


60 


7-5 






50 


2-4 






80 


9-9 






60 


2.8 






100 


12.2 


ISA 4530 


45 x30 


30 


1-7 


ISA 10075 


100x75 


60 


80 






40 


2-2 






80 


10-5 






5-0 


2.8 






100 


130 






6-0 


3.3 






120 


15.4 


ISA 5030 


50x30 


30 


1-8 


ISA 12575 


125 x75 


60 


9-2 






40 


2.4 






80 


121 






S-0 


30 






10.0 


14.9 






60 


3.5 


















ISA 12595 


125 x95 


60 


10.1 


ISA 6040 


60x40 


5 


3.7 






80 


13.4 






60 


4.4 






100 


16-5 






80 


5-8 






12.0 


19-7 


ISA 6545 


65 x45 


5-0 


41 


ISA 15075 


150 x75 


80 


13-7 






60 


4.9 






100 


17.0 






80 


6.4 






12.0 


20.2 


ISA 7045 


70 x45 


50 


4.3 


ISA 150115 


150x115 


80 


16.3 






60 


5.2 






100 


20.1 






80 


6.7 






120 


24.0 






100 


8.3 






16.0 


3 1.4 


ISA 7550 


75 X 50 


5 


4.7 


ISA 200100 


200 X 100 


10.0 


22.9 






60 


5-6 






12.0 


27.3 






80 


7.4 






16.0 


35-8 






100 


90 


















TSA 200150 


200 X 150 


10.0 


26.9 


ISA 8050 


80x50 


50 


4.9 






120 


321 






60 


5-9 
7-7 






160 

20.0 


42.2 
52.0 






1 % 


9.4 











Designation 



(1) 



SIZE 


Thick- 


Thick- 


Weight 




ness OF 


ness OF 


PER 




WEB 


Flange 


Metre 


(2) 


(3) 


(4) 


(5) 


m m X m m 


mm 


mm 


kg 



TABLE 46 BULB ANGLES 



Designation 



SIZE 



Thick- Thick- 
ness OF NESS OF 
WEB Flange 



(1) 



(2) 
mmx mm 



(3) 



(4) 



Weight 

per 
Metre 



(5) 
ks 



ISBA 100 


100x65 


60 


60 


8-6 


ISBA 200 


200x90 


14.0 


12-5 


33.6 


ISBX 100 


100 x65 


70 


6.5 


9.6 


ISBA 22.5 


225 X 90 


11.0 


11.0 


31.4 


ISBA 125 


125 x75 


70 


70 


12-2 


ISBA 225 


225 X 90 


14.0 


12-5 


37.3 


ISBA 125 


125 x75 


80 


7-5 


13.4 


ISBA 250 


250 X 90 


11.0 


11.0 


34.9 


ISBA 150 


150x75 


80 


80 


161 


ISBA 250 


250 X 90 


13 


12.0 


39.2 


ISBA 150 


150x75 


100 


90 


18.8 


ISBA 27.5 


275 X 90 


12.0 


120 


40.9 


ISBA 175 


175 x90 


80 


90 


200 


ISBA 275 


275 X 90 


14.0 


13.0 


45-6 


ISBA 175 


175 x90 


too 


100 


23.3 


ISBA 300 


300 X 90 


13.0 


130 


47-5 


ISBA 17.5 


175 x90 


12.0 


110 


26.5 


ISBA 300 


300x90 


150 


140 


52-6 


ISBA 200 


200 x90 


11.0 


11.0 


28-2 













162 



AMENDMENT NO. I JANUARY 1973 

TO 

SP : 8-1970 ISl HANDBOOK OF 

MATHEMATICAL, PHYSICAL, CHEMICAL AND 

ENGLNEERING TABLES 




INDIAN >T4P)OAnDB INSTITUTION 

UAPAK BH*VAH^ ■ ilAl LAlltJK. iHAbi tAFAH J^IAHO 



Cr 1 



AMENDMENT NO. 1 JANUARY 1973 

TO 

SP : 8-1970 ISl HANDBOOK OF MATHEMATICAL, PHYSICAL, 
CHEMICAL AND ENGINEERING TABLES 

Addenda 



This amendment to the ISI Handbook of Mathe- 
matical, Physical, Chemical and Engineering 
Tables (SP : 8 - 1970) introduces two new tables, 
namely, 18A- and 25A in Section 2 Physical and 
Chemical Tables; and three new tables, namely, 
32A, 37A and 37B in Section 3 Engineering 
Tables. Besides, four existing tables, namely. 
Tables 33, 94, 35 and 37, in Section 3, have been 



enlarged to incorporate a column each giving data 
on centre of gravity, perimeter, etc. In another 
Table 45, the amount of data added is so 
substantial that the revised table replaces the 
existing Table 45 on page 162 of the Handbook. 

The details of the contents of the amendment 
art as under, which should be read in conjunction 
with the Handbook (SP : 8 - 1970): 



Table No. Title Remarks 

Section 2 Physical and Chemical Tables 

ISA Psychrometric Properties of Air 
25A Some Physical Constants 



} 



These two are new tables introduced 
in the Handbook 



Section 3 Engineering Tables 



32A Rolled Steel Heavy Beams 

33 Rolled Steel Channels 

34 Steel Equal Angles 

35 Steel Tee Bars 

37 Round and Square Steel Bars 



37A Indian Standard Rivets (Snap 
Head Rivets) 

37B Indian Standard Bolts and Nuts 
(Hexagon Head) 

45 Steel Unequal Angles 



New table introduced 

Introduces " data on Centre of 
Gravity in a new column No. 12 in 
Table 33 (P 154) 

Introduces data on Centre of 
Gravity in a new column No. 11 in 
Table 34 (P 155) 

Introduces data on Centre of Gravity 
Position in a new column No. 10 
in Table 35 (P 157) 

Introduces data on Perimeter in case 
of Round Bars only in a new. 
column No. 5 in Table 37 (P 158) 



► New tables introduced 



This table replaces Table 45 Unequal 
Angles (P 162) as it provides 
substantial additional data in eight 
more columns 



AMENmiENT NO. 1 TO $Pt9-1970 



TABLE 18A PSYCHROMETRIC PROPERTIES OF AIR* 

Note— The values of enthalpy in columns 4, 5, 8 and 10 are measured from water at 0°C. 





Properties of Water io r Ioe) and Steam 


Properties 


OP Dry 


Properties 


OF Mktu re of Dry 














Air at a Pressure 


Air and 


Saturate d 


Steam 














loF 76-00 cm Hg 


at a Total Pressure of 


















76-00 xmHg 




Tmra- 


Saturation 


Enthalpy 


athalpy 


Specific 


Specific 1 


Snthalpy, 


olume of 


Enthalpy 


Specific 


XATDItB, 


Pressure of Water 


of 


of 


/olume 


Volume, 


kcal/kg^ 


Vlixture 


of 


Humidity 


•c 


and Steam 


Saturated 


iturated 


of 


m»/kg 




er kg of 


Mixture 


erkg of 






1 


Ice 


steam, 


at&ted 






)ry Air, 


er kg of 


)ry Air, 








_(-20" to 


iccal/kg 


Steam: 
m'/kg 






m»/kg 


•ry Air, 

ccal/kg 


10-» kg/kg 








O'C) 










IBthalpy 

of 
Saturated 




















io-» 


















cm Hg 


gf/cm» 


Water 
(0° to 100° 
C),kcal/kg 
















(1) 


(2) 


(3) 


W 


(5) 


(6) 


(7) 


"(8) 


(9) 


(10) 


(H) 


-20 


0077 4 


1-052 


-89-39 


588.5 


1 132.4 


0-716 5 


-4.81 


0-717 3 


-4-433 


0.633 5 


- 19 


0085 2 


1.1581- 


-8889 






0.719 8 


-4-57 


0-720 2 


-4-153 


0.697 3 


- 1 8 


0.093 6 


1-273 


-88.42 


^§-4 


1 g6^-& 


0-722 2 


-4-33 


0-723 


-3-873 


0-766 9 


- 17 


0102 9 


1-399 


-87-94 


589.8 


788-3 


0-725 1 


-4.09 


0-726 1 


-3-5881 


0-842 8 


-16 


0-112 9 


1-536 


-87-50 


590.3 




0.727 9 


-3.85 


0.728 7 


-3-306 


0-918 2 


- 1 5 


0123 9 


1-685 


-87-00 


590.7 


721.0 


0-730 8 


-3.61 


0.731 6 


- 3.006 


1-015 


-14 


0135 8 


1-847 


-86-54 






0-733 6 


-3-37 


0.735 


-2-706 


1113 


-r» 


,0148 8 


2024 


-86-06 


191:8 


66S-3 


0-736 5 


-3-13 


0-737 8 


-2-402 


1.220 


- 1 2 


0.162 9 


2-216 


-85.56 


592.0 


554.9 


0-739 3 


-2-89 


0-740 9 


-2-092 


1.336 


-1 1 


0.178 2 


2-424 


-85.11 


592-5 


509-2, 


0-742 2 


-2.65 


0-7439 


-1-776 


1-462 


-10 


0194 8 


2-649 


-84.61 


592.9 


467-5 


0-7449 


-2.41 


0.746 6 


- 1.456 


1-597 


-9 


0-212 8 


2-894 


-84.11 


593-3 


429.6 


0-747 8 


-2.17 


0-750 


- 1.126 


1-746 


-8 


0-232 4 


3160 


-83.61 


593.8 


395-0 


0-750 


-1.93 


0-753 


-0-792 


1-907 


-7 


0-253 5 


3-447 


-83-13 


594.2 


363.4 


0-753 3 


-1-68 


0.756 1 


-0-444 


2.081 


-6 


0-276 4 


3-759 


-82.67 


594-7 


334.6 


0.756 3 


- 1.44 


0.758 9 


- 0.093 


2.269 


-5 


0.301 2 


40% 


-82-17 


595-1 


308.1 


0-759 2 


- 1.20 


0.762 2 


0-272 


2.474 


-4 


0-327 9 


4-459 


-81-67 


595.6 


2841 


0.762 


-0-96 


0.765 6 


0-642 


2.695 


-^3 


0.356 9 


4-853 


-8117 


596.0 


262.1 


0-764 9 


-0-72 


0-7684 


1030 


2-93i 


-2 


0.388 2 


5-279 


-80.67 


596-4 


241.8 


0-767 7 


-0.48 


0-771 7 


1.422 


3-192 


-1 


0-421 8 


5-735 


-80.17 


596.8 


223.3 


0-770 5 


-0.24 


0-775 


1-830 


3-471 





0-458 


6.22U 


f -79.67 

\ o-oo 


597.2 


206-3 


0-773 4 


0-00 


0-777 8 


2.256 


3-771 


1 


0.492 4 


6-694 


1.01 


597-6 




0-776 2 


0-24 


0.781 2 


2.666 


4-057 


2 


0.529 1 


7-19i J 


2.01 


698-0 


BUIW 


0-7790 


0-48 


0-784 5 


3-090 


4.362 


3 


0-568 1 


7-72i-3 


3-02 


598.5 


168-2 


0-781 9 


0-72 


0.787 9 


3.526 


4-686 


4 


0.609 7 


8-289 


4.02 


599.0 


157-3 


0-784 7 


0.96 


0-791 3 


3.978 


5.031 


5 


0.653 9 


8-890 


503 


599.4 


147.2 


0.787 5 


1.20 


0.794 7 


4-439 


5-400 


6 


0-701 


9-530 


6-03 


599-8 


137-8 


0.790 4 


1-44 


0-798 


4.919 


5-793 


7 


0.751 


10-210 


7-03 


600.2 


129.1 


0-793 2 


1.69 


0.801 4 


5-411 


6.210 


8 


0.804 1 


10-932 


8-04 


600-7 


121.0 


0.796 


1.93 


0.804 8 


5.918 


6.654 


9 


0.860 5 


11-699 


9.04 


601.1 


113.4 


0-798 9 


2.17 


0.808 2 


6449 


7.127 


10 


0-920 4 


12.51:3 


10-04 


601-6 


106-4 


0'8018 


2'41 


0-8115 


6-994 


7-629 


11 


0.983 9 


13-376 


11 -04 


602.0 


99.9: 


0-804 6 


2.65 


0.814 9 


7.559 


8.162 


12 


1.051 2 


14.291 


12.04 


602.5 


93-8; 


0.807 4 


2.89 


0-818 9 


8.144 


8.729 


13 


1-122 5 


15.261 


13-04 


602.9 


881! 
73-3) 


0-810 3 


3-13 


0-822 3 


8.754 


9-333 


14 


1-1982 


16.289 


14.04 


603.4 


0.813 1 


3.37 


0-826 2 


9.383 


9-971 


15 


1.278 1 


17-376 


15.04 


604-3 


0-815 9 


3.61 


0.829 6 


10.04 


10-65 


16 


1.362 8 


18.527 


16.04 


604-7 


69- 1< 


0-818 8 


U i,!i 


0-833 6 


10-71 


11-37 


17 


1-452 4r 


19-745 


17.04 


out* . 




0-8216 




0-837 6 


11.42 


12.13 


18 


'1.547 


21.03 


18.04 


605- 1 


65- 1( 


0-824 4 


4.33 


0-841 6 


12.16 


12-94 


19 


1.647 


22-39 


19-05 


605-6 


61-3; 


0.827 3 


4.57 


0-845 6 


12-92 


13.79 



'Reproduced from ISl Handbook of quantities, conversion factors, formulae and tables. 



(Contimud) 



AMENDMENT NO. I TO SP ; 8- 1970 



TABLE 18A PSYGHROMETRIC PROPERTIfiS OF MR—Contd 

Note — ^The values of enthalpy in coIunuu4, 5, 8 and 10 are measured from water at 0°C. 





Properties of Water (oe 


^C E) AMD S 


TEAM 


Properties of Dry 


Properties of Mixture of Dry 














\IR AT A 


Pressure 


Am AND 


Saturated 


SteAm 














OF 76-00 


cm Hg 


AT A Total Pressure of 




















76-00 cm Hg 




Tempe 


Saturation 


Enthalpy 


Enthalpy 


Specific 


Specific 


Snthalpy 


Volume of 


Enthalpy 


Specific 


RATURE 


Pressure 


of Water 


of 


of 


Volume 


v^olume. 


kcal/kg 


Mixture 


of 


iumidity 


°G 


and Steam 


Saturated 


Saturated 


of 


m»/kg 




per kg of 


Mixture 


per kg of 

Dry Air, 








Ice 


Steam, 


Saturated 






Drv Air, 


per kg of 








(-20° to 


kcal/kg 


Sttam, 






m*lkg 


Dry Air, 


0-»kg/kg 








O-C) 




m»/kg 








kcal/kg 










Enthalp y 

of 




















io-» 


Saturated 


















cm Hg 


kgf/cm 


Water 
0° to 100 
!), kcal/k 
















(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) 


20 


1-753 


23.83 


20-03 


606.0 


57.84 


0.830 1 


4.81 


[0-849 6 


13.72 


14.70 


21 


1.864 


25.34 


21-03 


606-5 


54.56 


0.833 


5.05 


0.854 1 


14.55 


15.66 


22 


1.982 


26.94 


22-03 


606.9 


51.49 


0.835 8 


5.29 


0.858 


15.41. 


16-68 


23 


2.106 


28.63 


23-02 


607.3 


48.63 


0-838 7 


5-53 


0-862 6 


16-32 


17.76 


24 


2.237 


30.41 


24-02 


607.8 


45.94 


0.8415 


5-77 


0-867 


17-25 


18-89 


25 


2.375 


32.29 


25-02 


608.2 


43-41 


0.844 4 


6.01 


0.871 5 


18.23 


20.09 


26 


2.520 


34.26 


2601 


608.6 


41-04 


0.847 2 


6.25 


0.875 9 


19.76 


21.37 


27 


2.673 


36.34 


27-01 


609.1 


38.82 


0.850 


6.49 


0-881 1 


20-33 


22.72 


28 


2.834 


38-53 


28-01 


609-5 


36.73 


0-852 9 


6.73 


0.885 8 


21-45 


24.14 


29 


3.003 


40-83 


2900 


610.0 


34.77 


0.855 7 


6.97 


1.0-890 8 


22.62 


25.65 


30 


3.181 


43.25 


30.00 


610-4 


32-93 


0.858 5 


7-21 


0-895 8 


23.83 


27.23 


31 


3.369 


45-80 


31-00 


610.8 


31.20 


0.861 3 


7.45 


0-9014 


25.11 


28.91 


32 


3.565 


48.47 


32-00 


611-3 


29.58 


0.864 2 


7.69 


0.907 


26.45 


30.69 


33 


3.772 


51-28 


32-99 


611.7 


28-05 


0.867 1 


7-94 


0.912 7 


27.85 


32.56 


34 


3.989 


54.23 


33.99 


6121 


26.61 


0.869 9 


8-18 


0-918 3 


29.32 


34-53 


35 


4.217 


57.33 


34.99 


612.5 


25.25 


0-872 8 


8.42 


0.923 9 


30.85 


36.63 


36 


4.455 


60-57 


35-99 


613-0 


23.97 


0.875 6 


8.66 


0-930 1 


3246 


38.83 


37 


4-706 


63-98 


36-98 


613-4 


22.77 


0.878 4 


8-90 


0.936 4 


34.15 


41.17 


38 


4-969 


67-55 


37-98 


613.9 


21.63 


0-881 3 


9.14 


0-942 9 


35-92 


43.63 


39 


5.244 


71-29 


38-98 


614.3 


20-56 


0-8841 


9.38 


0.949 6 


37.78 


46.26 


40 


5.531 


75.20 


39.98 


614.7 


19.55 


0-886 9 


9.62 


0-956 3 


39-72 


48.97 


41 


5.833 


79-30 


40-98 


615.2 


18-60 


0.889 7 


9-86 


0-963 7 


41.77 


51.87 


42 


6.149 


83-60 


41-97 


615-6 


17-70 


0.892 6 


1010 


0-971 5 


43.92 


54-93 


43 


6-480 


88-09 


42-97 


616-0 


16-85 


0.895 4 


10.34 


0-978 7 


46.17 


58-17 


44 


6.825 


92.79 


43-&7 


616.4 


16.04 


0-898 3 


10.58 


0-987 2 


48-54 


61-58 


45 


7.187 


97.71 


44.96 


616.8 


15.28 


0.901 1 


10.82 


0-9951 


51.03 


65-19 


46 


7.564 


102.84 


45-96 


617.2 


14.56 


0.904 


11-06 


1.000 


53.66 


69.01 


47 


7.959 


108-21 


46-96 


617-7 


13-88 


0.906 8 


11.30 


1.013 


56-42 


73-04 


48 


8.372 


113.82 


47-95 


618-1 


13-24 


0-909 7 


11-54 


1022 3 


59.33 


77-31 


49 


8.802 


119.67 


48.95 


618.5 


12.63 


0.912 5 


11-78 


1.031 8 


62.39 


81.81 


50 


9.252 


125-78 


49-95 


619.0 


12.05 


0.915 3 


12.02 


1-042 5 


65.61 


86-57 


51 


9-754 


132-16 


50.95 


619.4 


11-50' 


0-918 2 


12.27 


1.053 1 


6902 


91-61 


52 


10.210 


138-81 


51.95 


619.8 


10.98 


0-921 


12.51 


1-063 7 


72-61 


96-95 


53 


10.721 


145-75 


52-94 


6202 


10.49 


0-923 8 


12.75 


1-075 6 


76-39 


102-6 


54 


11-253 


152.98 


53.94 


6206 


1002 


0-926 6 


12.99 


1.087 7 


80-39 


108.6 


55 


11-806 


160.51 


54.94 


621-0 


9.584 


0-929 5 


13.23 


1-100 6 


84.62 


114-9 


56 


12-383 


168.35 


55-94 


621-5 


9-164 


0.932 3 


13-47 


1-1141 


89.10 


121.7 


57 


12-985 


176-53 


56-94 


621-9 


8-764 


0.935 2 


13.71 


1-127 9 


93.84 


128-8 


58 


13-611 


185-04 


57-94 


522-3 


8.385 


0-938 


13-95 


1-142 8 


98.86 


136-4 


59 


14.262 


193.90 


58-94 


622-7 


8-025 


0-940 9 


1419 


1.158 5 


104-2 


144-5 



Cotdinued) 



AMENDMENT NO. 1 TO SP» 8 - 1970 



TABLE 18A PSYCHROMETRIG PROPERTIES QFAIR— Qwtf^f 

No-m-The values of enthalpy in columns 4, 5, 8 and 10 are measured. from water at 0%. 





Properties OF Water (or Ice) and Steam I 


Proper-ties of Dry 


Properties OF Mixture OF DRY 














Air at a PRESsiniE 


Air and SATURATED Steam 














OF 7600 


cm Hg 


AT A Total Pressure of 
76-00 cm Hg 


Tbmpe- 


Saturation 


Enthalpy 


Enthalpy 


Specific 


Specific 


nthalpy. 


'olume of 


inthalp) 


Specific 


RATUKE, 


Pressure of Water 


of 


of 


/olume 


Volume, 


ccal/kg 


Mixture 


of 


lumidity 


X 


and Steam 


Saturated 


Saturated 


of 


m»/kg 




icrkgof 


ifixture 


icrl^of 








Ice 


Steam, 


aturate< 






3ry Air, 


erkgof 


^^Pk 








(-20° to 


kcal/kg 


Steafn, 






m«/kg 


>ry Air, 














0°C) 




m'/kg 








xal/kg 










Enthalpy 

of 
Saturated 




















io-» 


















cm Hg 


kgf/cm» 


Water 
(0° to 100° 
C), kcal/kg 
















(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) 


60 


14-94 


203.1 


59-94 


623-2 


7-682 


0-943 7 


1443 


1.174 8 


109.8 


153-0 


61 


15.65 


212.7 


60.94 


623.6 


7.356 


0-946 5 


1467 


1.192 2 


115-8 


162.2 


62 


16.38 


222.7 


61-94 


624.0 


7-046 


0-949 4 


14.91 


1-210 2 


122.2 


171.9 


63 


17-14 


233.0 


62-94 


6244 


6-752 


0.952 2 


15-15 


1-229 5 


128.9 


182-3 


64 


17.93 


243-8 


63-94 


624.8 


6.473 


0.955 


15-39 


1-250 3 


136.2 


193-3 


65 


18.76 


2550 


64-93 


625.2 


6.206 


0-957 9 


15.63 


1-271 6 


143.9 


205.1 


66 


19.61 


266.6 


65.93 


625.6 


5.951 


0-960 7 


15.87 


1-295 2 


152.2 


217.9 


67 


20.50 


278.7 


66-93 


626.0 


5-709 


0-963 7 


16.12 


1.319 8 


1610 


231.3 


68 


21.42 


291.2 


67.93 


626.4 


5-478 


0-966 4 


16-36 


1.345 9 


170.4 


245-9 


69 


22.38 


304-2 


68.93 


626-9 


5-2 5£ 


0.969 2 


16-60 


1-374 1 


180.6 


261.5 


70 


23.37 


317.7 


69.93 


627.3 


5-04S 


0.972 1 


16.84 


1-404 


191-4 


278.3 


71 


24-40 


331-7 


70-93 


627.7 


4-84E 


0.974 9 


1708 


1-4364 


203.2 


296.5 


72 


25.47 


346-3 


71-93 


628.1 


4-65£ 


0.977 8 


17-32 


1-470 9 


215.8 


316-1 


73 


26.58 


361:3 


72-93 


628-5 


4-47f 


0-980 6 


17.56 


1-508 2 


229.5 


337-2 


74 


27-72 


376-9 


73-94 


628.9 


4-305 


0-983 4 


17-80 


1.548 5 


244.4 


360-3 


75 


28.91 


3931 


7494 


629.3 


413f 


0-986 3 


18.04 


1.5919 


260.5 


385-1 


76 


30.14 


409-8 


75-94 


629.7 


3-97- 


0.989 1 


18.28 


1.639 6 


278.1 


412-6 


77 


31.42 


427-2 


76-94 


630.1 


3-82f 


0-9919 


18.52 


1.691 7 


297.3 


442-4 


78 


32.74 


445.1 


77-95 


630-5 


3-681 


0-994 8 


18-76 


1-748 1 


318.4 


475-2 


79 


3411 


463-7 


78-95 


630-9 


3-543 


0.997 6 


1901 


1-810 2 


341.6 


511-3 


80 


35.52 


482-9 


79.95 


631-3 


3-41( 


1-000 4 


19-25 


1.878 4 


367.2 


551-1 


81 


36.98 


502.8 


80.95 


631.7 


3-285 


1003 3 


1949 


1.9551 


395.8 


595.6 


82 


38.50 


523-4 


81.95 


632- 1 


3-165 


1-006 2 


1973 


2.040 


427.7 


645-3 


83 


4007 


544-7 


82-96 


632.5 


3-04> 


1-009 


19-97 


2-134 6 


463-4 


701-1 


84 


41.68 


566-7 


83-96 


632.8 


2-93e 


1.011 8 


20-21 


2-241 6 


503-7 


763.9 


85 


43.35 


589-4 


84-96 


633-2 


2-83C 


1-014 7 


20-46 


2.362 8 


549-4 


8 3 5.: 


86 


45-08 


612-9 


85-96 


633.6 


2-72£ 


1-017 5 


20-70 


2.502 1 


602-3 


917-7 


87 


46-87 


637-2 


86-97 


6340 


2-63C 


1.020 3 


20-94 


2-663 6 


663-4 


1013 


88 


48-72 


662.3 


87.97 


634.4 


2-53> 


1.0231 


21-18 


2.851 4 


734-7 


1125 


89 


50-62 


688.2 


88.98 


634-7 


2-44> 


1-026 


21-42 


3.073 7 


819.1 


1256 


90 


52-59 


714-9 


89.98 


635.1 


2-36] 


1028 8 


21.66 


3.339 8 


920.2 


1414 


91 


54.62 


742-5 


90.98 


635-5 


2-27£ 






— 


, — , 


wm^ 


92 


56.71 


771-0 


91-99 


635.9 


2-20C 




. . 


_ 


» 


^^ 


93 


58.87 


800-4 


9300 


636.3 


2-124 




**. 


, — 


, , 


.^ 


94 


61-10 


830-7 


94.00 


636.7 


2-051 




— 


— 


~ 





95 


63-40 


861.9 


95-01 


637-0 


1-981 




_ 








96 


65.77 


894.2 


96.01 


637-4 


1-914 




<-« 


— 


-_ 




97 


68.22 


927.4 


97-02 


637-8 


1-851 


„_ 


_ 


_^^ 






98 


70-73 


961.6 


98-02 


638-2 


1-78J 


m^— 


.^^ 


_ 


^^ 


. 


99 


73-33 


996.9 


99.03 


638.5 


l-73( 








— 




100 


76-00 


1 033-2 . 


10004 


638.9 


1-675 




— 


— 


_ 





AMENDMENT NO. 1 TO SP « 8-1970 



TABLE 25A SOME PHYSICAL CONSTANTS* 



Symbol 




Value 


logie 
(Value) 


A» 


Fi»t Bohr Radius 


5-291 73x10-' cm 


5-723 60 


'^" 4v'm* 




Fine Structure Constant 


7-297 29 xlO-» 


3.863 16 


<r^ 




1-370 372 X 10' 


2.136 85 


c 


Velocity of light 


2-997 929 X 10" cm/s 


10-476 82 


«i = 8ffA* 


First Radiation constant 


4-991 9x10-" erg cm 


15.698 26 


e, = hclk 


Second Radiation Constant 


1-438 80 cm deg 


0.158 00 


1 


Electronic charge 


4.802 90xlO-"esu 


15-68150 


,1c 




1-602 08x10-"' emu 


50-204 69 


«/ffl 


Charge to Mass Ratio of Electron 


5.273 02 X 10" esu/g 


17-72206 


time 




1-758 89 X 10' emu/g 


7.245 :^5 


F -= Nele 


Faraday Constant 


9-652 1 X lO* emu (g-mole)-' 


3-984 63 


G 


Gravitational Constant 


6-670 X 10-« g-i cm» s-« 


8.824 13 


k 


Planck's constant 


6.625 3 X lOe^s 


27-821 21 


* - A/2ir 




1.054 45 X lOe^s 


27-023 02 


A/« 




1-379 4 3 X lOeiils/esu 


T7-139 69 


Tk 


Boltzmann's Constant 


l-380 47xl0-"eig/deg 


T6-140 03 


K»^klnu, 


Coippton Wavelength of Electron 


2.426 27x10-" cm 


TO- 384 94 


Xn—klm^ 


Compton Wavelength of Proton 


1.32141x10-" cm 


13-121 03 


K.~hlm^ 


Compton Wavelength of Neutron 


1-319 59X10-" cm 


13-120 44 


Am«r-i 


Wien-displacement-law Constant 


0.289 782 cm deg 


1-462 07 


M. 


Atomic Man of Electron 


5.487 62 X 10-* 


4.739 38 


Mb 


Atomic Mass of Hydrogen 


1.008 144 


0.003 52 


M, 


Atomic Mass of Neutron 


1.008 983 


0-003 89 


M, 


Atomic Mass of Proton 


1.007 595 


0-003 29 


M,IM. 


Ratio of Proton to Electron Mass 


1.836 12 X 10« 


3.263 89 


ffl 


Electron Rat Mass 


9.108 5x 10-" g 


28-959 44 


m, = iM./JV 


Neutron Rat Mass 


1.674 73 X 10-" g 


2?-223 95 


m, - M,IJf 


Proton Rest Mass 


1.672 42 X 10-"* g 


2?- 223 34 


M =my»f,/Af, 


Reduced Mass of Electron in Hydrogen 








Atom 


9-103 5xl0-«g 


28-959 20 


M« 


Magnetic Moment of Electron 


9-283 9x10-" erg/gauss 


21-967 73 


/», = hel^nntfC 


Nuclear Magneton 


5-050 4X10-'«eig/gaus8 


2?- 703 33 


ft, = htlAmm 


Bohr Magneton 


9.273 2 X 10-" erg/gauss 


21796723 


N 


Avogadro'a Number 


6.024 8xlO'»mole-^ 


23.779 94 


"> 


Loschmidt's Number 


2-687 09 xlOi'cm-» 


19.429 29 


ii. -JVA 
„ _ air**** 


Ideal Gas Constant 


8.317 Ox 10' erg/mole deg 


7.919 97 


Rydberg Constant for Hydrogen 


1-096 78 x 10»cm-i 


504013 


Rydberg Ckmstant for Infinite Mass 


1.097 37 xlO»cm-> 


5-040 36 


f 


Ratio of Physical to Chemical Scale of 








Atomic Weight 


1.000 275 


0.000 11 


r, = «•/»«;« 


Classical Electron Radius 


2-81785x10-" cm 


13-449 92 


15<;»A» 


Steffan-Boltzmann Constant 


5-669 2 x 10-» erg/cm* sdeg« 


5.753 53 




Molar Volume 


2-242 Ix 10* cm'/molc 


4.350 66 



♦Reproduced from ISl Handbook of quantities, conversion factors, formulae and tables. 



AMENDMENT NO. 1 TO SP < 8-1970 



TABI£32A ROLLED STEEL HEAVY BEAMS 



Designa- 


We I g h t 
PER 

Metrb 
U) 


Seo- Depth Width Thick- 
tional of op ne3s 
Arka Section Flanob o f 
a h b Flanob 


Thick- 
ness 

OF 

Web 


Momma 


OF Inertia 


Rami OF 
Gyration 


MODU 

Sect 

A 


UOF 




1 








r» 


rn 


«w 


2» 


(1) 


(2) 


(3) 


(4) 


(5) 


(6) 


A 


(8) 


(9) 


(10) 


(H) 


(12) 


(13) 




kg 


cm' 


mm 


mm 


mm 


mm 


cm* 


cm* 


cm 


cm 


cm» 


cm» 


ISHB 150 
ISHB 150 
ISHB 150 


271 
30-6 
34.6 


3448 
38-98 
4408 


150 
150 
150 


150 
150 
150 


90 
9-0 
90 


5-4 
8-4 
11.8 


145^6 
1540.0 
1 635.6 


431-7 
460-3 
494-9 


6-50 
6-29 
609 


3-54 
3-44 
3-35 


194-1 
205-3 
2181 


57-6 
60-2 
63-2 


ISHB 200 
ISHB 200 
ISHB 225 


37-3 
400 
43-1 


47.54 
50-94 
54-9? 


200 
200 

225 


200 
200 
225 


9-0 
9-0 
9-1 


61 
7-8 
6.5 


3 608.4 
3 721-8 
5 279-5 


9671 

994-6 

1 353-8 


8-71 
8-55 
9-80 


4.51 
4-42 
4-96 


360-8 
372-2 
469-3 


%-7 
98-6 
120-3 


ISHB 225 
ISHB 250 
ISHB 250 


46-8 
51.0 

54.7 


59-66 
64.96 
69-71 


225 
250 
250 


225 
250 
250 


9.1 

9.7 

9.7 


8-6 
6-9 
8-8 


5 478.8 
7 736.5 
7 983.9 


1 396.6 

1 961.3 

2 011.7 


9.58 
10-91 
10-70 


4-84 
5.49 

5.37 


487.0 
618-9 

638.7 


123-0 
156.9 
159-7 


ISHB 300 
ISHB 300 
ISHB 350 


58.8 
63.0 
67-4 


74.85 
80-25 
85.91 


300 
300 
350 


250 
250 
250 


10.6 
10.6 
11-6 


7-6 
9-4 
8-3 


12 545.2 
12 950.2 
19 159.7 


2 193.6 
2 246.7 
2 451-4 


12.95 
12.70 
14-93 


5.41 
5-29 
5-34 


836.3 

863.3 

1094.8 


175-5 
178.4 
196-1 


ISHB 350 
ISHB 400 
ISHB 400 


72.4 
77.4 
82.2 


92.2 1 

98-66 

104.66 


350 
400 
400 


250 
250 
250 


11.6 

12.7 
12.7 


10.1 

9-1 

10-6 


19 802.8 
28 083.5 
28 823.5 


2 510-5 
2 728-3 
2 783-0 


14.65 
16-87 

16.61 


5-22 
5.26 
516 


1131-6 

1 404.2 
1 444.2 


199.4 
218-3 
221-3 


ISHB 450 
ISHB 450 


87-2 
92-5 


111.14 
117.89 


450 
450 


250 
250 


13-7 
13-7 


9-8 
11-3. 


39 2 10.8 

40 349.9 


2 985-2 

3 045.0 


18.78 
18-50 


5.18 
5.08 


1 742-7 
1 793.3 


238.8 
242-1 





TABLE 33 ROLLED STEEL CHANNELS 




Designation 


Centre OF 

Gravity 

C„ 


Designation 


Centre OF 

GRAVITY 
c„ 


(1) 


(12) 


(1) 


(12) 




c m 




cm 


ISJG 100 
ISJG 125 
ISJG 150 
ISJG 175 
ISJG 200 


1-40 
1-64 
1-67 
1-75 
1-97 


ISMC 75 
ISMG 100 
ISMG 125 
ISMC 125 
ISMC 150 


1-32 
1-54 
1-96 
1^ 
2-23 


ISLG 75 
ISLG 100 

\^^ m 125 
ISLG 50 


1-35 
1.62 
204 
1-87 
2-39 


ISMG 150 
ISMG 175 
ISMC 175 
ISMC 200 
ISMC 200 


217 
2-21 
214 
2.18 
211 


ISLG (P) 150 
ISLG 175 
ISLG 200 
ISLG (P) 200 
ISLG 225 


2-24 
2-40 
2-36 
2-23 
2-47 


ISMC 225 
ISMC 225 
ISMC 250 
ISMC 250 
ISMC 250 


2-31 
2-22 
2-30 

2.23 
219 


ISLG 250 
ISLG 300 
ISLC (P) 300 
ISLC 350 
ISLC 400 


2-71 
2-56 
2-32 
2-42 
2-37 


ISMG 300 
ISMC 300 
ISMC 300 
ISMC 350 
ISMC 400 


:2-37 
2-26 
2-22 
2-46 
2-43 



AMENDMElyTT NO. 1 TO SP t 8 .1970 





TABLE 34 STEEL 


EQUAL ANGLES 


f 


Designation 


Centre OF 


Designation 


Centre OF 




Gravity 




GRAvmr 




c„=c„ 




c„=c„ 


(1) 


(11) 


(1) 


(11) 




cm 




cm 


ISA 2020 


0-59 


ISA 7070 


1.89 




0.63 




1-94 
202 


ISA 2525 


0-71 

0.75 




210 




0-79 


ISA 7575 


202 
206 


ISA 3030 


0-83 




214 




0.87 




2.22 




0.92 










ISA 8080 


218 


ISA 3535 


0-95 




2-27 




100 




2-34 




104 




2-42 




108 










ISA9090 


2-42 


ISA 4040 


108 




2-51 




112 




2-59 




116 




2-66 




1-20 










ISA lOOlOO 


2-67 


ISA 4545 


1-20 




3-7f 




1-25 




2-84 




1-29 




2-92 




1-33 










ISA IlOllO 


300 


ISA 5050 


1-32 




309 




1-37 




3-17 




1-41 




3-32 




1-45 










ISA 130130 


3-50 


ISA 5555 


1-53 




%^ 




1-57 






1-65 




3.82 




1-72 










ISA 150150 


4.08 


ISA 6060 


1-65 




416 




1-69 




4-31 




1-77 




4-46 




1-85 










ISA 200200 


5-39 


ISA^65 


1-77 




5.56 




1-81 




5-71 




1-89 




5-90 




1-97 







TABLE 55 STEEL TEE BARS 



Designation 


Centre OF 
Gravity 

Position 


Designation 


CENTRE OF 

Gravity 
Position 


(1) 


(10) 


(1) 


(10) 




cm 




cm 


ISNT 20 
ISNT 30 
ISNT 40 
ISNT 50 


0«U 
114 
1-35 


ISNT 60 
ISNT 75 
ISNT 100 
ISNT 150 


1-56 
204 
2-62 
3-61 



AMENDMENT NO. 1 TO SP» 8-1970 



TABLE 37 ROUND AND SQUARE STEEL BARS 
Round Bars 



Designation 


Perimeter 


Desionation 


PsRIHETEr. 


(1) 




(5) 
c m 


(1) 


(5) 
cm 


ISRO 


5 


1-88 


ISRO « 


141 


ISRO 


6 


2-51 


BROISRO 5056 


15.7 


ISRO 


8 






176 


ISRO 


10 


3.14 


ISRO 63 


19-8 


ISRO 


12 


3.77 


ISRO 71 


22-3 


ISRO 


14 


4.39 
502 


ISRO 80 


25.1 
28-3 


ISRO 


18 


5-65 


ISRO 190 


31-4 


ISRO 


20 


6.28 


ISRO 110 


34-6 


ISRO 


22 


6.91 


ISRO 125 


39.3 


ISRO 


25 


7.85 


ISRO 140 


440 


ISRO 


28 


8.79 


ISRO 160 


50.3 


ISRO 


32 


101 


ISRO 180 


56.6 


ISRO 


36 


11-3 


ISRO 200 


62.8 


ISRO 


40 


12-6 







TABLE 37A INDIAN STANDARD RIVETS (SNAP HEAD RIVETS) 
[Calculated weight of rivets in kg/I 000 pieces (based on 7-85 kg/dm*)] 



^NoMiMi Diameter 
GFRiwrs,-* 
P, mm 
Length, 

/, mm I 



10 



12 



16 



20 



22 



Weight of rivets in kg/1 000 pieces m 



24 



20 
22 



18.5 

20JI1M 



24 

26 

28 

30 

31-5 

35 

35-5 
40 

^6 

55 

g6 
63 

% 
71 

80 

85 
96 

100 
106 
112 

118 
125 
132 
140 
150 
160 



23.4212 
24.7 

30 

321 
35.1 

mm 



47-5 
50-6 



37-6 

40-7 

44-3 
48-3 

52.7 

57-2 

m 

68-7 



mm 

83.8 
88.3 



80 

86-3 
93-4 

101 

109 

119 

III2S 



\m 

157 
164 
172 

1 on 

188 
198 

207 



168 
180 

195 

212205 

230 
232 

254 
279 

m 

319 

m 

365 



228 
266 



»2W 
317 

347 
362 
377 
395 
413 

431 
497 



301 

3263b' 

35(351 

386 
404 
422 
440 

457 
479 
500 

521 
546 
571 

600 
635 

671 



Weight per 1000 head* 
in IsKf!)) 


7.38 


12-77 


30-25 


59-04 


78.6 


102.1 


For each additional 10 mm 
Jrafjji of shank add 
1 009 pieces? Vgat P^f 


617 


8-88 


15-8 


25-0 


29-88 


35-54 



& 



TABLE 37B INDIAN STANDARD BOLTS AND NUTS (HEXAGON HEAD) 

[Calculated weight in kg/1000 pieces of bolts and nub (based on 7.85 kg/dm*)] 




M6 M8 MIO M12 M14 M16 MIS M20 M22 M24 M27 M30 M33 M36 M39 M42 M45 M48 M52 

i 



/, mm 



Weight «f bolt* in kg/1 000 piecesi^i 



17-1 34-1 48.9 — — — — — —— — — — — 

18-7 -36.6 52.5 66.4 — — — — —— — — — — 

20.7 391 56-1 72.6 107 136 186 212 — — — — — — 

22.7 42.2 59-7 78.9 114 146 196 227 — — — — — — 

247 45-3 64-1 85.2 121 157 207 244 347 — -^ — — — 

26.7 48.4 68-5 91.4 128 167 217 260 362 — — — — — 

28.7 51.5 72.9 97-7 136 177 227 277 377 — — — — — 

30-7 54.6 77.3 104 144 188 238 293 392 — — — — — 

32-7 57.7 81.7 110 152 198 251 309 407 570 — — — — 

34.7 '60-8 86.1 116 160 208 264 326 422 589 — — — — 

36.7 63.9 90-5 123 168 219 277 343 440 608 — — — — 

38.7 67.0 95 129 176 229 290 359 458 630 — — — * 

40-7 70.1 100 135 182 239 303 376 476 653 853 109 

44-7 76.3 109 148 198 260 329 407 511 698 908 i: 

48.7 82.5 118 160 214 280 355 436 547 743 963 1220 1520 1870 2 230 2660 — — 

52.7 88.7 127 172 230 301 381 469 583 788 1018 1285 1600 1965 2340 2 785 3 300 — 

56.7 949 136 185 246 322 407 500 618 833 -1070 1350 1680 2060 2450 2910 3440 4140 

— 101 145 197 262 342 433 531 654 878 1125 1415 1750 2 155 2 560 3 035 3580 4 305 

— 107 154 210 278 363 459 562 689 923 1180 1480 1840 2250 2 670 3160 3 720 4 470 

— 113 163 222 294 384 485 593 725 968 1230 1550 1920 2 340 2780 3280 3860 4 635 

— 119 172 235 310 404 501 624 760 1010 1290 1620 2000 2430 2890 3400 4000 4800 

— 125 181 247 326 425 527 655 796 1055 1345 1685 2080 2 525 3000 3 525 4140 4 935 

— 131 190 260 342 445 553 686 831 1100 1400 1750 2 160 2 620 3 110 3650 4280 5130 

— 137 199 272-0 358 466 579 717 867 1 145 1455 1815 2240 2 715 3 220 3 775 4 420 5 295 

— 143 208 284 374 487 605 748 902 1190 1510 1880 2 320 2 810 3 330 3 900 4560 5460 



16 


7.43 


20 


8.12 


25 


8.97 


30 


lO-l 


35 


11.2 


40 


12.3 


45 


13.4 


50 


145 


55 


156 


60 


16-7 


65 


17.8 


70 


18.9 


75 


20-0 


80 


21.1 


90 


23.3 


100 


25.5 


110 


.». 


120 


, , 


130 




140 


„,„ 


150 


, , 


160 


, 


170 


1 


180 





190 





200 


— 



Weight of nuts in kg per 
lOOOpiecesw 


2.32 


4.82 


10-9 15.9 22.4 


30-8 


43.2 


60.3 


80.3 103 


154 


216 


271 


369 


472 


610 


750 


9241 


130 


Weight of 10 mm o^ shank 

in kg per 1000 piecesni 


2-2 


4 


6 9 12.4 


16 


20.7 


25 


31.2 35.5 


447 


54-7 


66 


80 


95 


110 


125 


140 


165 



i 



AMENDMENT NO. 1 TO SP : 8. 1970 









TABLE 45 STEEL UNEQUAL ANGLES 










Desiona- 


Size 
AxB 

(2) 


Thick- 
ness 
t 

(3) 


SEC- 
TIONAL 

AREA 
a 

(4) 


Whoht 

PER 

Metrb 

ID 

(5) 


Moments of Inertia 

* 


Moduli OF 
-, Section 


Centr 

GRAV 

., ...A 


EOF 

'1 TV 


TION 


(6) 


(Mix) 
(7) 


(8) 


1 1 1 


(1) 


c 

(9) 


(10) 


1 

(11) 


(12) 




mmxnun 


mm 


m» 


kg 


cm* 


cm 


cm* 


cm* 


cm» 


cm 


cm 


ISA 3020 


30x20 


30 
4-0 
50 


1-41 
1-84 
2-25 


11 
1-4 
1-8 


1-2 
1-5 
1-9 


1-4 
1-8 
21 


0-4 
0-5 
0-6 


0-6 
0-8 
10 


0-3 
0-4 
0-4 


0-98 

1.02 
1-06 


0-49 
0-53 

0.57 


ISA 4025 


40x25 


3-0 
4-0 
5-0 
60 


1-88 
2-46 
3-02 
3-56 


1-5 
1-9 
2-4 
2-8 


30 
3-8 
4-6 
5-4 


3-3 

4-3 
5-1 
5-9 


0-9 
11 
1-4 

1.6 


1-1 
1-4 
1-8 
21 


0-5 
0-6 
0-7 
0-9 


1-30 
1-35 
1-39 
1-43 


0-57 

0.62 
0-66 
0-69 


ISA, 4530 


45x30 


3-0 
4-0 
5-0 
6-0 


2.18 
2-86 
3.52 
4-16 


1-7 
2-2 
2-8 
3-3 


4-4 
5-7 

6.9 
80 


50 
6-5 
7-9 
9-2 


1-5 
2-0 
2-4 
2-8 


1-4 
1-9 
2-3 
2-7 


0-7 
0-9 
1-1 
1-3 


1-42 
1-47 

1.51 
1-55 


0-69 
0-73 
0-77 

0.81 


ISA 5030 


50x30 


30 
4-0 
5-0 
6-0 


2.34 
307 
3-78 
4-47 


1-8 
2-4 
3-0 
3-5 


5-9 

7-7 

9-3 

10-9 


6-5 
8-5 

10.3 
11-9 


1.6 
21 
2-5 
2-9 


1-7 
2-3 
2-8 

3.4 


0-7 
0-9 

1.1 

1.3 


li-63 
1-68 
1-72 

1.76 


0.65 
0.70 
0-74 
0-78 


ISA 6040 


60x40 


5-0 
6-0 
8-0 


4-76 
5-65 
7-37 


3-7 
4-4 
5-8 


16.9 
19-9 

25.4 


19.5 
22.8 
29.0 


6-0 
7-0 
9-8 


4.2 
50 
6-5 


20 

2.3 
3-0 


1.95 
1-99 
2-07 


0-96 
1-00 
108 


ISA 6545 


65x45 


5-0 
6-0 
80 


5.26 
6-25 
817 


4-1 
4-9 
6-4 


22.1 
26.0 
33.2 


25.9 
30-4 
38-7 


8-6 
101 

12.8 


5-0 
5-9 

7.7 


2-5 
30 

3.9 


207 

2.11 
2-19 


1-08 
1-12 

1.20 


ISA 7045 


70x45 


50 

6-0 

8-0 

10-0 


5-52 

6.56 

8-58 

10-52 


4-3 
5-2 
6-7 
8-3 


27.2 
32.0 
41.0 
49.3 


30-9 
36-3 

46.3 

55.4 


8-8 

10.3 
13.1 
15.6. 


5-7 
6-8 

8.9 
10.9 


2-5 
30 
3-9 
4-8 


2.27 
2.32 
2-40 
2-48 


1-04 
109 

1.16 
1-24 


ISA 7550 


75x50 


5-0 

6-0 

8-0 

100 


602 
7-16 
9-38 

11.52 


4-7 
5-6 
7-4 
9-0 


341 
40-3 
51-8 

62.3 


39.4 
46-4 
59-4 
71-2 


12-2 
14-3 

18.3 
21-8 


6-7 

80 

10-4 

12.7 


3-2 
3-8 
4-9 
60 


2.39 
2-44 
2-52 
2-60 


M6 

1.20 
1.28 
1-36 


ISA 8050 


80x50 


50 

6-0 

8-0 

10-0 


6-27 

7-46 

9-78 

12-02 


4-9 
5-9 
7-7 
9-4 


40-6 

48-0 
61.9 
74-7 


45.7 
53.9 
69.3 
83-3 


12-3 
14-4 
18-5 
22-1 


7-5 

90 

11-7 

14.4 


3.2 
3.8 
4-9 
6-0 


2.60 
2-64 
2-73 

2.81 


1-12 

1.16 
1.24 
1.32 


ISA 9060 


90x60 


6-0 

80 

100 

120 


8-65 

11.37 
J401 
16-57 


6-8 

8-9 

11-0 

130 


70.6 
91-5 

110.9 

129.1 


81-5 
105-3 

127.3 
147.5 


25.2 
32.4 
391 

45.2 


11.5 
15-1 
18.6 
22-0 


5-5 

7-2 

8-8 

10-3 


2-87 

2.96 
3-04 

3.12 


1.39 
1-48 
1-55 
1-63 


ISA 10065 


100x65 


6-0 

8-0 

100 


9-55 

12.57 
15.51 


7-5 
9-9 
12-2 


96-7 
125-9 

153.2 


110.6 
143-6 

174.2 


32.4 
41-9 
50-7 


14.2 
18-7 
231 


6.4 

8-5 

10-4 


3.19 
3.28 
3-37 


1-47 
1-55 

1.63 


ISA 10075 


100x75 


6-0 

80 

100 

12-0 


10-14 

13.36 
16-50 

19.56 


8-0 
10-5 
13-0 
15-4 


100.9 
131.6 
160.4 
187-5 


124.0 
161-3 
196-1 
228-4 


48-7 

63.3 
76-9 

89.5 


14.4 
19-1 

23.6 
27.9 


8-5 
11-2 

13.8 
16.3 


3.01 
3.10 
3.19 
3-27 


1.78 
1-87 

1.95 
2.03 


ISA 12575 


125x75 


6-0 

80 

10-0 


11-66 
15-38 
1902 


9-2 
12-1 
14-9 


187.8 
245.5 
300.3 


208.9 
272-8 
332-9 


51.6 
67-2 
81-6 


22-2 

29.4 
36.3 


8-7 
11-5 

14.2 


4.05 
4.15 
4.24 


1.59 
1.68 
1.76 


ISA 12595 


125x95 


60 

8-0 

100 

12-0 


12.92 
17.04 
21-08 
2504 


10-1 
13-4 
16-5 
19-7 


205.5 
268.3 
3280 

384.8 


254.0 
331-4 
404-1 
473-6 


103-6 

134.7 
164-1 
191-8 


23.4 
30-9 
38-1 
45-1 


14-3 
18-8 
231 
27-3 


3-72 
3-80 

3.89 
3-97 


2-24 
2-32 
2-40 
2-48 


ISA 15075 


150 X 75 


8-0 
100 
120 


17.48 
21-62 
25-68 


13-7 
170 
20-0 


410-3 

502.2 
590-O 


435.7 
532-7 

625-1 


711 
86-3 

100.4 


42-0 
51-9 
61-6 


11.9 
14-7 
17-3 


5.24 
5-33 
5-42 


1-54 

1.62 
1-70 



(Continued) 



10 



AMENDMENT NO. 1 TO SP i 8>1970 





TABLE 45 STEEL UNEQUAL ANGLES 


— Contd. 








Dbsona- Size 


Thick- 


Seo- 


Weight 


MoMEKTs OF Inertia 


MODUUO 


CENTRBOr 


TION AxB 


ness 

t 


nONAI. 

Area 
a 


PER 

Metre 








Q— -— _-»^- 


GRAVITY 


/« 


(a/m) 


I» 


OkVI" 


tVA-V 






■ "\ 1 

Z» 


c,. c„ 


(1) (2) 


(3) 


(4) 


(5) 


(6) 


(7) 


(8) 


(9) 


(10) 


(11) (12) 


mmXTnin 


itlitl 


m» 


kg 


cm* 


cm' 


cm* 


cm* 


cm» 


cm cm 


ISA 150115 150x115 


80 


20-72 






589.6 


244-4 


45.1 


280 


4-48 2.76 




100 


25-66 


20,1 W 


mm 


722.6 


298.8 


55.8 


34-5 


4-57 2-84 








24-0 


684-8 


849-5 


350-6 


mi 


40-8 


965 2-92 




ma 


40-00 


3lt4 


878-5 


1085-9 


446.8 


86-2 


53-0 


4-81 3t07 




100 


















ISA 200100 200x100 




29-21 


22.9 


1 227.8 


1304-9 


214-7 


94-3 




6-98 203 




12.0 


34-77 


27.3 


1 449.2 


1 5390 


251-5 


112-1 


)l'92e,9 


7-07 2-n 




16.0 


45.65 


35.8 


1 870.1 


1982-1 


319-6 


146-5 


41-3 


7-23 2-27 




100 


















ISA 200150 200x 150 




34-29 


26.9 


1409-2 


1 729.6 


688-9 


100-8 


60-2 


6.02 3-55 




12.0 


40-85 


32-1 


1 665.6 


2 043-3 


812-1 


119-9 


71-4 


6.11 3-63 




16.0 


53-73 


42-2 


2 155.2 


2 638-6 


1044-9 


1570 


93-2 


6-27 3-79 




20.0 


66-29 


52-0 • 


2 615-1 


3 192-7 


1260-8 


192-6 


114.0 


6-42 3-94 



11